An optimized algorithm to determine the values of the exact cumulative distribution function of some discrete statistics
type: Item
instance of: scholarly article
title: An optimized algorithm to determine the values of the exact cumulative distribution function of some discrete statistics
zbMATH Open document ID: 0937.65008
author: Farid Beninel
author: François Husson
published in: Computational Statistics
publication date: 2000-03-01T00:00:00Z
review text: Let \(a=(a_1,\dots,a_N)\) be a finite sequence of real numbers. The authors propose an algorithmic procedure which allows to calculate the number of combinations formed of \(k\) elements \((m\leq k\leq M)\) of distinct order among the sequence \(a\), whose sum is less than or equal to \(X\). As a consequence, the exact distributions of a certain rank statistics for a finite samples can be calculated as well as exact distributions in so-called models of association indices.
Mathematics Subject Classification ID: 62-08
Mathematics Subject Classification ID: 62E15
zbMATH DE Number: 1408666
zbMATH Keywords: number of combinations
zbMATH Keywords: linear rank statistics
zbMATH Keywords: discrete statistics
zbMATH Keywords: model of association indices
zbMATH Keywords: distribution function
MaRDI profile type: Publication
full work available at URL: s001800050016
OpenAlex ID: W2094117388
DOI: 10.1007/S001800050016
description: scientific article; zbMATH DE number 1408666