fintech-algorithms
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Histograms and Empirical Distribution Functions

Install and import#

bash
npm install fintech-algorithms
ts
import { histogramsAndEmpiricalDistributionFunctions } from "fintech-algorithms/financial-mathematics-statistics-and-data-foundations/location-ranking-and-exploratory-summaries/histograms-and-empirical-distribution-functions";

Signature#

histogramsAndEmpiricalDistributionFunctions(input)

Worked example#

verified This is the worked example published in the article, replayed by the test suite on every run. The output cannot drift.

Input#

input
{
  "values": [1, 2, 2, 4, 9],
  "weights": [1, 1, 2, 1, 1],
  "trimProportion": 0.2,
  "bins": 4
}

Call#

histogramsAndEmpiricalDistributionFunctions(input)

Returns#

object with 2 fields: binCounts, binWidth

{
  "binCounts": [3, 1, 0, 1],
  "binWidth": 2
}

Diagrams#

Histograms and Empirical Distribution Functions — article hero
Histograms and Empirical Distribution Functions — calculation ledger
Histograms and Empirical Distribution Functions — comparison map
Histograms and Empirical Distribution Functions — concept anatomy
Histograms and Empirical Distribution Functions — mistake contrast
Histograms and Empirical Distribution Functions — scenario map

How it works#

This page states the contract — how to call it correctly. The article explains the concept: why it works, and where it breaks.

Read the article →

References#

  • Histogram
  • Empirical Distribution Function
  • Location, Scale, and Shape
  • Historical-example decision

The rest of the Location, Ranking, and Exploratory Summaries family#