From 7a821abbb65261f60e732f3c8bd05bba996830ce Mon Sep 17 00:00:00 2001
From: MaysWind <i@mayswind.net>
Date: Thu, 16 Apr 2026 01:24:07 +0800
Subject: [PATCH] add skewness and kurtosis to value metric in insights
 explorer

---
 src/components/desktop/AmountInput.vue       |  5 +-
 src/components/mobile/NumberPadSheet.vue     |  3 +-
 src/consts/numeral.ts                        |  1 +
 src/core/explorer.ts                         |  6 +-
 src/lib/evaluator.ts                         |  3 +-
 src/lib/math.ts                              | 79 ++++++++++++++++++++
 src/lib/numeral.ts                           | 17 +++--
 src/locales/de.json                          |  2 +
 src/locales/en.json                          |  2 +
 src/locales/es.json                          |  2 +
 src/locales/fr.json                          |  2 +
 src/locales/helpers.ts                       |  4 +-
 src/locales/it.json                          |  2 +
 src/locales/ja.json                          |  2 +
 src/locales/kn.json                          |  2 +
 src/locales/ko.json                          |  2 +
 src/locales/nl.json                          |  2 +
 src/locales/pt_BR.json                       |  2 +
 src/locales/ru.json                          |  2 +
 src/locales/sl.json                          |  2 +
 src/locales/ta.json                          |  2 +
 src/locales/th.json                          |  2 +
 src/locales/tr.json                          |  2 +
 src/locales/uk.json                          |  2 +
 src/locales/vi.json                          |  2 +
 src/locales/zh_Hans.json                     |  2 +
 src/locales/zh_Hant.json                     |  2 +
 src/stores/explorer.ts                       | 73 +++++++++---------
 src/views/desktop/exchangerates/ListPage.vue |  3 +-
 src/views/mobile/exchangerates/ListPage.vue  |  3 +-
 30 files changed, 181 insertions(+), 54 deletions(-)

diff --git a/src/components/desktop/AmountInput.vue b/src/components/desktop/AmountInput.vue
index 0b1e2fbd..82f95ecc 100644
--- a/src/components/desktop/AmountInput.vue
+++ b/src/components/desktop/AmountInput.vue
@@ -81,8 +81,9 @@ import {
 
 import { NumeralSystem, DecimalSeparator } from '@/core/numeral.ts';
 import type { CurrencyPrependAndAppendText } from '@/core/currency.ts';
-import { DEFAULT_DECIMAL_NUMBER_COUNT } from '@/consts/numeral.ts';
+import { DEFAULT_DECIMAL_NUMBER_COUNT, AMOUNT_FACTOR } from '@/consts/numeral.ts';
 import { TRANSACTION_MIN_AMOUNT, TRANSACTION_MAX_AMOUNT } from '@/consts/transaction.ts';
+
 import { isNumber, replaceAll } from '@/lib/common.ts';
 import { evaluateExpressionToAmount } from '@/lib/evaluator.ts';
 import type { ComponentDensity, InputVariant } from '@/lib/ui/desktop.ts';
@@ -297,7 +298,7 @@ function getFormattedValue(value: number): string {
 
 function getDisplayCurrencyPrependAndAppendText(): CurrencyPrependAndAppendText | null {
     const numericCurrentValue = parseAmountFromLocalizedNumerals(currentValue.value);
-    const isPlural = numericCurrentValue !== 100 && numericCurrentValue !== -100;
+    const isPlural = numericCurrentValue !== AMOUNT_FACTOR && numericCurrentValue !== -AMOUNT_FACTOR;
 
     return getAmountPrependAndAppendText(props.currency, isPlural);
 }
diff --git a/src/components/mobile/NumberPadSheet.vue b/src/components/mobile/NumberPadSheet.vue
index e0c0b248..79a0e2a4 100644
--- a/src/components/mobile/NumberPadSheet.vue
+++ b/src/components/mobile/NumberPadSheet.vue
@@ -83,6 +83,7 @@ import { useI18n } from '@/locales/helpers.ts';
 import { useI18nUIComponents, isiOS } from '@/lib/ui/mobile.ts';
 
 import { NumeralSystem } from '@/core/numeral.ts';
+import { AMOUNT_FACTOR } from '@/consts/numeral.ts';
 import { ALL_CURRENCIES } from '@/consts/currency.ts';
 import { isNumber } from '@/lib/common.ts';
 import logger from '@/lib/logger.ts';
@@ -385,7 +386,7 @@ function confirm(): boolean {
                 finalValue = previous - current;
                 break;
             case '×':
-                finalValue = Math.trunc(previous * current / 100);
+                finalValue = Math.trunc(previous * current / AMOUNT_FACTOR);
                 break;
             default:
                 finalValue = previous;
diff --git a/src/consts/numeral.ts b/src/consts/numeral.ts
index 591ef35a..c4de98e2 100644
--- a/src/consts/numeral.ts
+++ b/src/consts/numeral.ts
@@ -2,6 +2,7 @@ import type { HiddenAmount } from '@/core/numeral.ts';
 
 export const DEFAULT_DECIMAL_NUMBER_COUNT: number = 2;
 export const MAX_SUPPORTED_DECIMAL_NUMBER_COUNT: number = 2;
+export const AMOUNT_FACTOR: number = 10 ** MAX_SUPPORTED_DECIMAL_NUMBER_COUNT;
 
 export const DISPLAY_HIDDEN_AMOUNT: HiddenAmount = '***';
 export const INCOMPLETE_AMOUNT_SUFFIX: string = '+';
diff --git a/src/core/explorer.ts b/src/core/explorer.ts
index 2a626a42..f3652b78 100644
--- a/src/core/explorer.ts
+++ b/src/core/explorer.ts
@@ -324,7 +324,9 @@ export enum TransactionExplorerValueMetricType {
     SourceAmountInterquartileRange = 'sourceAmountInterquartileRange',
     SourceAmountVariance = 'sourceAmountVariance',
     SourceAmountStandardDeviation = 'sourceAmountStandardDeviation',
-    SourceAmountCoefficientOfVariation = 'sourceAmountCoefficientOfVariation'
+    SourceAmountCoefficientOfVariation = 'sourceAmountCoefficientOfVariation',
+    SourceAmountSkewness = 'sourceAmountSkewness',
+    SourceAmountKurtosis = 'sourceAmountKurtosis'
 }
 
 export class TransactionExplorerValueMetric implements NameValue {
@@ -356,6 +358,8 @@ export class TransactionExplorerValueMetric implements NameValue {
     public static readonly SourceAmountVariance = new TransactionExplorerValueMetric('Variance', TransactionExplorerValueMetricType.SourceAmountVariance, false, false, false);
     public static readonly SourceAmountStandardDeviation = new TransactionExplorerValueMetric('Standard Deviation', TransactionExplorerValueMetricType.SourceAmountStandardDeviation, false, false, false);
     public static readonly SourceAmountCoefficientOfVariation = new TransactionExplorerValueMetric('Coefficient of Variation', TransactionExplorerValueMetricType.SourceAmountCoefficientOfVariation, false, false, false);
+    public static readonly SourceAmountSkewness = new TransactionExplorerValueMetric('Skewness', TransactionExplorerValueMetricType.SourceAmountSkewness, false, false, false);
+    public static readonly SourceAmountKurtosis = new TransactionExplorerValueMetric('Kurtosis', TransactionExplorerValueMetricType.SourceAmountKurtosis, false, false, false);
 
     public static readonly Default = TransactionExplorerValueMetric.SourceAmountSum;
 
diff --git a/src/lib/evaluator.ts b/src/lib/evaluator.ts
index f8fbf362..051fc708 100644
--- a/src/lib/evaluator.ts
+++ b/src/lib/evaluator.ts
@@ -1,3 +1,4 @@
+import { AMOUNT_FACTOR } from '@/consts/numeral.ts';
 import { TRANSACTION_MIN_AMOUNT, TRANSACTION_MAX_AMOUNT } from '../consts/transaction.ts';
 
 import { replaceAll } from './common.ts';
@@ -10,7 +11,7 @@ type OperatorAndParenthesis = Operator | '(' | ')';
 const maxAllowedDecimalCount = 6;
 const normalizeFactor: number = 1000000;
 const normalizedDecimalsMaxZeroString: string = '000000';
-const normalizedNumberToAmountFactor: number = 10000; // 1000000 / 100
+const normalizedNumberToAmountFactor: number = normalizeFactor / AMOUNT_FACTOR;
 
 const operatorPriority: Record<Operator, number> = {
     '+': 1,
diff --git a/src/lib/math.ts b/src/lib/math.ts
index cef512c2..10689d76 100644
--- a/src/lib/math.ts
+++ b/src/lib/math.ts
@@ -1,3 +1,5 @@
+import { reversed } from '@/core/base.ts';
+
 export function mean<T>(values: T[], valueFn: (item: T) => number): number {
     if (values.length < 1) {
         return 0;
@@ -59,3 +61,80 @@ export function sumMaxN<T>(sortedValues: T[], n: number, valueFn: (item: T) => n
 
     return sum;
 }
+
+export function cumulativePercentage<T>(sortedValues: T[], percentageThreshold: number, totalValue: number, valueFn: (item: T) => number): number {
+    if (sortedValues.length < 1 || percentageThreshold < 0 || percentageThreshold > 1) {
+        return 0;
+    }
+
+    const thresholdValue: number = percentageThreshold * totalValue;
+    let cumulativeValue: number = 0;
+    let cumulativeCount: number = 0;
+
+    for (const item of reversed(sortedValues)) {
+        cumulativeValue += valueFn(item);
+        cumulativeCount++;
+
+        if (cumulativeValue >= thresholdValue) {
+            return 100.0 * cumulativeCount / sortedValues.length;
+        }
+    }
+
+    return 0;
+}
+
+export function varianceAndStandardDeviation<T>(values: T[], meanValue: number, valueFn: (item: T) => number): { variance: number; standardDeviation: number } {
+    if (values.length < 1) {
+        return { variance: 0, standardDeviation: 0 };
+    }
+
+    let sumOfSquaredDifferences: number = 0;
+
+    for (const item of values) {
+        const difference: number = valueFn(item) - meanValue;
+        sumOfSquaredDifferences += difference * difference;
+    }
+
+    const variance: number = sumOfSquaredDifferences / values.length;
+    const standardDeviation: number = Math.sqrt(variance);
+
+    return { variance, standardDeviation };
+}
+
+export function coefficientOfVariation(standardDeviation: number, meanValue: number): number | undefined {
+    if (meanValue === 0) {
+        return undefined;
+    }
+
+    return standardDeviation / meanValue;
+}
+
+export function skewness<T>(values: T[], meanValue: number, standardDeviation: number, valueFn: (item: T) => number): number {
+    if (values.length < 1 || standardDeviation === 0) {
+        return 0;
+    }
+
+    let sumOfCubedDifferences: number = 0;
+
+    for (const item of values) {
+        const difference: number = valueFn(item) - meanValue;
+        sumOfCubedDifferences += Math.pow(difference, 3);
+    }
+
+    return sumOfCubedDifferences / (values.length * Math.pow(standardDeviation, 3));
+}
+
+export function kurtosis<T>(values: T[], meanValue: number, variance: number, valueFn: (item: T) => number): number {
+    if (values.length < 1 || variance === 0) {
+        return 0;
+    }
+
+    let sumOfQuarticDifferences: number = 0;
+
+    for (const item of values) {
+        const difference: number = valueFn(item) - meanValue;
+        sumOfQuarticDifferences += Math.pow(difference, 4);
+    }
+
+    return sumOfQuarticDifferences / (values.length * Math.pow(variance, 2));
+}
diff --git a/src/lib/numeral.ts b/src/lib/numeral.ts
index 9282d57f..9dad7ecb 100644
--- a/src/lib/numeral.ts
+++ b/src/lib/numeral.ts
@@ -6,6 +6,8 @@ import {
     DigitGroupingSymbol
 } from '@/core/numeral.ts';
 
+import { AMOUNT_FACTOR } from '@/consts/numeral.ts';
+
 import { DEFAULT_DECIMAL_NUMBER_COUNT, MAX_SUPPORTED_DECIMAL_NUMBER_COUNT, DISPLAY_HIDDEN_AMOUNT } from '@/consts/numeral.ts';
 
 import { isDefined, isString, isNumber, replaceAll, removeAll } from './common.ts';
@@ -115,7 +117,7 @@ export function parseAmount(str: string, options: NumberFormatOptions): number {
     let decimalSeparatorPos = str.indexOf(decimalSeparator);
 
     if (decimalSeparatorPos < 0) {
-        return sign * numeralSystem.parseInt(str) * 100;
+        return sign * numeralSystem.parseInt(str) * AMOUNT_FACTOR;
     } else if (decimalSeparatorPos === 0) {
         str = numeralSystem.digitZero + str;
         decimalSeparatorPos++;
@@ -125,13 +127,13 @@ export function parseAmount(str: string, options: NumberFormatOptions): number {
     const decimals = str.substring(decimalSeparatorPos + 1, str.length);
 
     if (decimals.length < 1) {
-        return sign * numeralSystem.parseInt(integer) * 100;
+        return sign * numeralSystem.parseInt(integer) * AMOUNT_FACTOR;
     } else if (decimals.length === 1) {
-        return sign * numeralSystem.parseInt(integer) * 100 + sign * numeralSystem.parseInt(decimals) * 10;
+        return sign * numeralSystem.parseInt(integer) * AMOUNT_FACTOR + sign * numeralSystem.parseInt(decimals) * AMOUNT_FACTOR / 10;
     } else if (decimals.length === 2) {
-        return sign * numeralSystem.parseInt(integer) * 100 + sign * numeralSystem.parseInt(decimals);
+        return sign * numeralSystem.parseInt(integer) * AMOUNT_FACTOR + sign * numeralSystem.parseInt(decimals);
     } else {
-        return sign * numeralSystem.parseInt(integer) * 100 + sign * numeralSystem.parseInt(decimals.substring(0, 2));
+        return sign * numeralSystem.parseInt(integer) * AMOUNT_FACTOR + sign * numeralSystem.parseInt(decimals.substring(0, 2));
     }
 }
 
@@ -252,9 +254,10 @@ export function formatPercent(value: number, precision: number, lowPrecisionValu
 
 export function getAmountWithDecimalNumberCount(amount: number, decimalNumberCount: number): number {
     if (decimalNumberCount === 0) {
-        return Math.trunc(amount / 100) * 100;
+        return Math.trunc(amount / AMOUNT_FACTOR) * AMOUNT_FACTOR;
     } else if (decimalNumberCount === 1) {
-        return Math.trunc(amount / 10) * 10;
+        const factor = AMOUNT_FACTOR / 10;
+        return Math.trunc(amount / factor) * factor;
     }
 
     return amount;
diff --git a/src/locales/de.json b/src/locales/de.json
index ddc29d21..bbe7e96e 100644
--- a/src/locales/de.json
+++ b/src/locales/de.json
@@ -1824,6 +1824,8 @@
     "Variance": "Varianz",
     "Standard Deviation": "Standardabweichung",
     "Coefficient of Variation": "Variationskoeffizient",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Kontoliste",
     "This Week": "Diese Woche",
     "This Month": "Dieser Monat",
diff --git a/src/locales/en.json b/src/locales/en.json
index 93970672..54cb0520 100644
--- a/src/locales/en.json
+++ b/src/locales/en.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Account List",
     "This Week": "This Week",
     "This Month": "This Month",
diff --git a/src/locales/es.json b/src/locales/es.json
index 7426e849..3d1c0560 100644
--- a/src/locales/es.json
+++ b/src/locales/es.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Lista de Cuentas",
     "This Week": "Esta Semana",
     "This Month": "Este Mes",
diff --git a/src/locales/fr.json b/src/locales/fr.json
index 747e2046..25e22870 100644
--- a/src/locales/fr.json
+++ b/src/locales/fr.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Liste des comptes",
     "This Week": "Cette semaine",
     "This Month": "Ce mois",
diff --git a/src/locales/helpers.ts b/src/locales/helpers.ts
index 766391eb..3010cc55 100644
--- a/src/locales/helpers.ts
+++ b/src/locales/helpers.ts
@@ -170,7 +170,7 @@ import {
 import type { LocaleDefaultSettings } from '@/core/setting.ts';
 import type { ErrorResponse } from '@/core/api.ts';
 
-import { DISPLAY_HIDDEN_AMOUNT, INCOMPLETE_AMOUNT_SUFFIX } from '@/consts/numeral.ts';
+import { AMOUNT_FACTOR, DISPLAY_HIDDEN_AMOUNT, INCOMPLETE_AMOUNT_SUFFIX } from '@/consts/numeral.ts';
 import { UTC_TIMEZONE, ALL_TIMEZONES } from '@/consts/timezone.ts';
 import { ALL_CURRENCIES } from '@/consts/currency.ts';
 import { DEFAULT_EXPENSE_CATEGORIES, DEFAULT_INCOME_CATEGORIES, DEFAULT_TRANSFER_CATEGORIES } from '@/consts/category.ts';
@@ -2189,7 +2189,7 @@ export function useI18n() {
         const currencyName = getCurrencyName(finalCurrencyCode);
 
         if (isNumber(value)) {
-            const isPlural: boolean = value !== 100 && value !== -100;
+            const isPlural: boolean = value !== AMOUNT_FACTOR && value !== -AMOUNT_FACTOR;
             const textualValue = formatAmount(value, numberFormatOptions);
 
             if (!finalCurrencyCode) {
diff --git a/src/locales/it.json b/src/locales/it.json
index 14508ff2..1aedc89e 100644
--- a/src/locales/it.json
+++ b/src/locales/it.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Elenco account",
     "This Week": "Questa settimana",
     "This Month": "Questo mese",
diff --git a/src/locales/ja.json b/src/locales/ja.json
index 80149bad..8eb15f0d 100644
--- a/src/locales/ja.json
+++ b/src/locales/ja.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "口座リスト",
     "This Week": "今週",
     "This Month": "今月",
diff --git a/src/locales/kn.json b/src/locales/kn.json
index 4d11d53d..b3dec4ba 100644
--- a/src/locales/kn.json
+++ b/src/locales/kn.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "ಖಾತೆಗಳ ಪಟ್ಟಿ",
     "This Week": "ಈ ವಾರ",
     "This Month": "ಈ ತಿಂಗಳು",
diff --git a/src/locales/ko.json b/src/locales/ko.json
index 5f897101..7de59665 100644
--- a/src/locales/ko.json
+++ b/src/locales/ko.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "계좌 목록",
     "This Week": "이번 주",
     "This Month": "이번 달",
diff --git a/src/locales/nl.json b/src/locales/nl.json
index b6be2054..c86e2c0f 100644
--- a/src/locales/nl.json
+++ b/src/locales/nl.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Rekeningenlijst",
     "This Week": "Deze week",
     "This Month": "Deze maand",
diff --git a/src/locales/pt_BR.json b/src/locales/pt_BR.json
index ea62525f..10c1cc3e 100644
--- a/src/locales/pt_BR.json
+++ b/src/locales/pt_BR.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variância",
     "Standard Deviation": "Desvio Padrão",
     "Coefficient of Variation": "Coeficiente de Variação",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Lista de Contas",
     "This Week": "Esta Semana",
     "This Month": "Este Mês",
diff --git a/src/locales/ru.json b/src/locales/ru.json
index d9f28be8..3a485c69 100644
--- a/src/locales/ru.json
+++ b/src/locales/ru.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Список счетов",
     "This Week": "На этой неделе",
     "This Month": "В этом месяце",
diff --git a/src/locales/sl.json b/src/locales/sl.json
index 6c8e5212..44a50f11 100644
--- a/src/locales/sl.json
+++ b/src/locales/sl.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Seznam računov",
     "This Week": "Ta teden",
     "This Month": "Ta mesec",
diff --git a/src/locales/ta.json b/src/locales/ta.json
index b1030ba9..c5e300b1 100644
--- a/src/locales/ta.json
+++ b/src/locales/ta.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "கணக்குகளின் பட்டியல்",
     "This Week": "இந்த வாரம்",
     "This Month": "இந்த மாதம்",
diff --git a/src/locales/th.json b/src/locales/th.json
index 5af33daa..ba8cfcd0 100644
--- a/src/locales/th.json
+++ b/src/locales/th.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "รายการบัญชี",
     "This Week": "สัปดาห์นี้",
     "This Month": "เดือนนี้",
diff --git a/src/locales/tr.json b/src/locales/tr.json
index 0554632e..0c14b32a 100644
--- a/src/locales/tr.json
+++ b/src/locales/tr.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Hesap Listesi",
     "This Week": "Bu Hafta",
     "This Month": "Bu Ay",
diff --git a/src/locales/uk.json b/src/locales/uk.json
index 2ec381e2..5a48e6be 100644
--- a/src/locales/uk.json
+++ b/src/locales/uk.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Список рахунків",
     "This Week": "Цього тижня",
     "This Month": "Цього місяця",
diff --git a/src/locales/vi.json b/src/locales/vi.json
index f131cd47..96651347 100644
--- a/src/locales/vi.json
+++ b/src/locales/vi.json
@@ -1824,6 +1824,8 @@
     "Variance": "Variance",
     "Standard Deviation": "Standard Deviation",
     "Coefficient of Variation": "Coefficient of Variation",
+    "Skewness": "Skewness",
+    "Kurtosis": "Kurtosis",
     "Account List": "Danh sách tài khoản",
     "This Week": "Tuần này",
     "This Month": "Tháng này",
diff --git a/src/locales/zh_Hans.json b/src/locales/zh_Hans.json
index 69785e59..b3a980bd 100644
--- a/src/locales/zh_Hans.json
+++ b/src/locales/zh_Hans.json
@@ -1824,6 +1824,8 @@
     "Variance": "方差",
     "Standard Deviation": "标准差",
     "Coefficient of Variation": "变异系数",
+    "Skewness": "偏度",
+    "Kurtosis": "峰度",
     "Account List": "账户列表",
     "This Week": "本周",
     "This Month": "本月",
diff --git a/src/locales/zh_Hant.json b/src/locales/zh_Hant.json
index 3d1a57bc..aa2adbcf 100644
--- a/src/locales/zh_Hant.json
+++ b/src/locales/zh_Hant.json
@@ -1824,6 +1824,8 @@
     "Variance": "變異數",
     "Standard Deviation": "標準差",
     "Coefficient of Variation": "變異係數",
+    "Skewness": "偏度",
+    "Kurtosis": "峰度",
     "Account List": "帳戶清單",
     "This Week": "本週",
     "This Month": "本月",
diff --git a/src/stores/explorer.ts b/src/stores/explorer.ts
index 26f9fa1e..4fc3668d 100644
--- a/src/stores/explorer.ts
+++ b/src/stores/explorer.ts
@@ -8,7 +8,7 @@ import { useTransactionCategoriesStore } from './transactionCategory.ts';
 import { useTransactionTagsStore } from './transactionTag.ts';
 import { useExchangeRatesStore } from './exchangeRates.ts';
 
-import { type BeforeResolveFunction, itemAndIndex, reversed, keys, values } from '@/core/base.ts';
+import { type BeforeResolveFunction, itemAndIndex, keys, values } from '@/core/base.ts';
 import { NumeralSystem, AmountFilterType } from '@/core/numeral.ts';
 import { type DateTime, DateRangeScene, DateRange } from '@/core/datetime.ts';
 import { TimezoneTypeForStatistics } from '@/core/timezone.ts';
@@ -20,6 +20,7 @@ import {
     TransactionExplorerValueMetric,
     DEFAULT_TRANSACTION_EXPLORER_DATE_RANGE
 } from '@/core/explorer.ts';
+import { AMOUNT_FACTOR } from '@/consts/numeral.ts';
 import { ALL_CURRENCIES } from '@/consts/currency.ts';
 
 import { type Account } from '@/models/account.ts';
@@ -46,7 +47,12 @@ import {
 import {
     median,
     percentile,
-    sumMaxN
+    sumMaxN,
+    cumulativePercentage,
+    varianceAndStandardDeviation,
+    coefficientOfVariation,
+    skewness,
+    kurtosis
 } from '@/lib/math.ts';
 import {
     getUtcOffsetByUtcOffsetMinutes,
@@ -726,26 +732,15 @@ export const useExplorersStore = defineStore('explorers', () => {
         }
 
         if (sourceAmounts.length > 0) {
-            const eightyPercentAmountThreshold: number = 0.8 * statisticData.totalAmount;
-            let cumulativeAmount: number = 0;
-            let cumulativeCount: number = 0;
-            for (const amount of reversed(sourceAmounts)) {
-                cumulativeAmount += amount;
-                cumulativeCount++;
-
-                if (cumulativeAmount >= eightyPercentAmountThreshold) {
-                    statisticData.transactionsFor80PercentAmount = 100.0 * cumulativeCount / sourceAmounts.length;
-                    break;
-                }
-            }
+            statisticData.transactionsFor80PercentAmount = cumulativePercentage(sourceAmounts, 0.8, statisticData.totalAmount, item => item);
         }
 
         if (sourceAmounts.length > 0) {
-            const averageAmountForVarianceCalculation: number = statisticData.totalAmount / sourceAmounts.length / 100.0;
-            const sumOfSquaredDifferences: number = sourceAmounts.reduce((sum, amount) => sum + Math.pow(amount / 100.0 - averageAmountForVarianceCalculation, 2), 0);
-            statisticData.variance = sumOfSquaredDifferences / sourceAmounts.length;
-            statisticData.standardDeviation = Math.sqrt(statisticData.variance);
-            statisticData.coefficientOfVariation = averageAmountForVarianceCalculation !== 0 ? statisticData.standardDeviation / averageAmountForVarianceCalculation : undefined;
+            const averageAmountForVarianceCalculation: number = statisticData.totalAmount / sourceAmounts.length / AMOUNT_FACTOR;
+            const { variance, standardDeviation } = varianceAndStandardDeviation(sourceAmounts, averageAmountForVarianceCalculation, item => item / AMOUNT_FACTOR);
+            statisticData.variance = variance;
+            statisticData.standardDeviation = standardDeviation;
+            statisticData.coefficientOfVariation = coefficientOfVariation(standardDeviation, averageAmountForVarianceCalculation);
         }
 
         return statisticData;
@@ -892,7 +887,12 @@ export const useExplorersStore = defineStore('explorers', () => {
                     } else {
                         value = 0;
                     }
-                } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountQ1Amount || valueMetric === TransactionExplorerValueMetric.SourceAmountQ3Amount || valueMetric === TransactionExplorerValueMetric.SourceAmount10thPercentile || valueMetric === TransactionExplorerValueMetric.SourceAmount90thPercentile || valueMetric === TransactionExplorerValueMetric.SourceAmount95thPercentile || valueMetric === TransactionExplorerValueMetric.SourceAmount99thPercentile) {
+                } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountQ1Amount
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmountQ3Amount
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmount10thPercentile
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmount90thPercentile
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmount95thPercentile
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmount99thPercentile) {
                     if (allSourceAmountsInDefaultCurrency.length > 0) {
                         allSourceAmountsInDefaultCurrency.sort((a, b) => a - b);
 
@@ -932,18 +932,7 @@ export const useExplorersStore = defineStore('explorers', () => {
                 } else if (valueMetric === TransactionExplorerValueMetric.TransactionsForEightyPercentOfSourceAmount) {
                     if (allSourceAmountsInDefaultCurrency.length > 0) {
                         allSourceAmountsInDefaultCurrency.sort((a, b) => a - b);
-                        const eightyPercentAmountThreshold: number = 0.8 * totalSourceAmountSumInDefaultCurrency;
-                        let cumulativeAmount: number = 0;
-                        let cumulativeCount: number = 0;
-                        for (const amount of reversed(allSourceAmountsInDefaultCurrency)) {
-                            cumulativeAmount += amount;
-                            cumulativeCount++;
-
-                            if (cumulativeAmount >= eightyPercentAmountThreshold) {
-                                value = 100.0 * cumulativeCount / allSourceAmountsInDefaultCurrency.length;
-                                break;
-                            }
-                        }
+                        value = cumulativePercentage(allSourceAmountsInDefaultCurrency, 0.8, totalSourceAmountSumInDefaultCurrency, item => item);
                     } else {
                         value = 0;
                     }
@@ -962,17 +951,25 @@ export const useExplorersStore = defineStore('explorers', () => {
                     } else {
                         value = 0;
                     }
-                } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountVariance || valueMetric === TransactionExplorerValueMetric.SourceAmountStandardDeviation || valueMetric === TransactionExplorerValueMetric.SourceAmountCoefficientOfVariation) {
+                } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountVariance
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmountStandardDeviation
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmountCoefficientOfVariation
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmountSkewness
+                    || valueMetric === TransactionExplorerValueMetric.SourceAmountKurtosis) {
                     if (allSourceAmountsInDefaultCurrency.length > 0) {
-                        const averageSourceAmountInDefaultCurrency = totalSourceAmountSumInDefaultCurrency / allSourceAmountsInDefaultCurrency.length / 100.0;
-                        const sumOfSquaredDifferences = allSourceAmountsInDefaultCurrency.reduce((sum, amount) => sum + Math.pow(amount / 100.0 - averageSourceAmountInDefaultCurrency, 2), 0);
+                        const averageSourceAmountInDefaultCurrency = totalSourceAmountSumInDefaultCurrency / allSourceAmountsInDefaultCurrency.length / AMOUNT_FACTOR;
+                        const { variance, standardDeviation } = varianceAndStandardDeviation(allSourceAmountsInDefaultCurrency, averageSourceAmountInDefaultCurrency, item => item / AMOUNT_FACTOR);
 
                         if (valueMetric === TransactionExplorerValueMetric.SourceAmountVariance) {
-                            value = sumOfSquaredDifferences / allSourceAmountsInDefaultCurrency.length
+                            value = variance;
                         } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountStandardDeviation) {
-                            value = Math.sqrt(sumOfSquaredDifferences / allSourceAmountsInDefaultCurrency.length);
+                            value = standardDeviation;
                         } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountCoefficientOfVariation) {
-                            value = averageSourceAmountInDefaultCurrency !== 0 ? Math.sqrt(sumOfSquaredDifferences / allSourceAmountsInDefaultCurrency.length) / averageSourceAmountInDefaultCurrency : 0;
+                            value = coefficientOfVariation(standardDeviation, averageSourceAmountInDefaultCurrency) ?? 0;
+                        } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountSkewness) {
+                            value = skewness(allSourceAmountsInDefaultCurrency, averageSourceAmountInDefaultCurrency, standardDeviation, item => item / AMOUNT_FACTOR);
+                        } else if (valueMetric === TransactionExplorerValueMetric.SourceAmountKurtosis) {
+                            value = kurtosis(allSourceAmountsInDefaultCurrency, averageSourceAmountInDefaultCurrency, variance, item => item / AMOUNT_FACTOR);
                         }
                     } else {
                         value = 0;
diff --git a/src/views/desktop/exchangerates/ListPage.vue b/src/views/desktop/exchangerates/ListPage.vue
index a612c103..ebdd5d4d 100644
--- a/src/views/desktop/exchangerates/ListPage.vue
+++ b/src/views/desktop/exchangerates/ListPage.vue
@@ -171,6 +171,7 @@ import { useExchangeRatesPageBase } from '@/views/base/ExchangeRatesPageBase.ts'
 import { useExchangeRatesStore } from '@/stores/exchangeRates.ts';
 
 import { NumeralSystem } from '@/core/numeral.ts';
+import { AMOUNT_FACTOR } from '@/consts/numeral.ts';
 
 import type { LocalizedLatestExchangeRate } from '@/models/exchange_rate.ts';
 
@@ -302,7 +303,7 @@ function getFinalConvertedAmount(toExchangeRate: LocalizedLatestExchangeRate, di
     let exchangeRateAmount: number | '' | null = 0;
 
     try {
-        exchangeRateAmount = getConvertedAmount(baseAmount.value / 100, fromExchangeRate, toExchangeRate);
+        exchangeRateAmount = getConvertedAmount(baseAmount.value / AMOUNT_FACTOR, fromExchangeRate, toExchangeRate);
     } catch (ex) {
         exchangeRateAmount = 0;
         logger.warn('failed to convert amount by exchange rates, original base amount is ' + baseAmount.value, ex)
diff --git a/src/views/mobile/exchangerates/ListPage.vue b/src/views/mobile/exchangerates/ListPage.vue
index d52d6183..0d79e9ff 100644
--- a/src/views/mobile/exchangerates/ListPage.vue
+++ b/src/views/mobile/exchangerates/ListPage.vue
@@ -138,6 +138,7 @@ import { useExchangeRatesStore } from '@/stores/exchangeRates.ts';
 
 import { TextDirection } from '@/core/text.ts';
 import { NumeralSystem } from '@/core/numeral.ts';
+import { AMOUNT_FACTOR } from '@/consts/numeral.ts';
 import { TRANSACTION_MIN_AMOUNT, TRANSACTION_MAX_AMOUNT } from '@/consts/transaction.ts';
 
 import type { LocalizedLatestExchangeRate } from '@/models/exchange_rate.ts';
@@ -277,7 +278,7 @@ function remove(customExchangeRate: LocalizedLatestExchangeRate | null, confirm:
 
 function getFinalConvertedAmount(toExchangeRate: LocalizedLatestExchangeRate, displayLocalizedDigits: boolean): string {
     const fromExchangeRate = exchangeRatesStore.latestExchangeRateMap[baseCurrency.value];
-    const exchangeRateAmount = getConvertedAmount(baseAmount.value / 100, fromExchangeRate, toExchangeRate);
+    const exchangeRateAmount = getConvertedAmount(baseAmount.value / AMOUNT_FACTOR, fromExchangeRate, toExchangeRate);
 
     if (!exchangeRateAmount) {
         if (displayLocalizedDigits) {