Exact Computation of Pearson Statistics Distribution and Some Experimental Results

A Markov chain based algorithms for exact and approximate computation of Pearson statistics distribution for multinomial scheme are described. Results of computational experiments reveal some new properties of the difference between this distribution and corresponding chi-square distribution.

Bibliographic Details
Main Authors: Marina V. Filina, Andrew M. Zubkov
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/294
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spelling doaj-fcbac967f1144c29aa4cb5703b1e07d92021-04-22T12:34:09ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-0137110.17713/ajs.v37i1.294Exact Computation of Pearson Statistics Distribution and Some Experimental ResultsMarina V. Filina0Andrew M. Zubkov1Steklov Mathematical Institute of RAS, Moscow, RussiaSteklov Mathematical Institute of RAS, Moscow, RussiaA Markov chain based algorithms for exact and approximate computation of Pearson statistics distribution for multinomial scheme are described. Results of computational experiments reveal some new properties of the difference between this distribution and corresponding chi-square distribution. http://www.ajs.or.at/index.php/ajs/article/view/294
collection DOAJ
language English
format Article
sources DOAJ
author Marina V. Filina
Andrew M. Zubkov
spellingShingle Marina V. Filina
Andrew M. Zubkov
Exact Computation of Pearson Statistics Distribution and Some Experimental Results
Austrian Journal of Statistics
author_facet Marina V. Filina
Andrew M. Zubkov
author_sort Marina V. Filina
title Exact Computation of Pearson Statistics Distribution and Some Experimental Results
title_short Exact Computation of Pearson Statistics Distribution and Some Experimental Results
title_full Exact Computation of Pearson Statistics Distribution and Some Experimental Results
title_fullStr Exact Computation of Pearson Statistics Distribution and Some Experimental Results
title_full_unstemmed Exact Computation of Pearson Statistics Distribution and Some Experimental Results
title_sort exact computation of pearson statistics distribution and some experimental results
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2016-04-01
description A Markov chain based algorithms for exact and approximate computation of Pearson statistics distribution for multinomial scheme are described. Results of computational experiments reveal some new properties of the difference between this distribution and corresponding chi-square distribution.
url http://www.ajs.or.at/index.php/ajs/article/view/294
work_keys_str_mv AT marinavfilina exactcomputationofpearsonstatisticsdistributionandsomeexperimentalresults
AT andrewmzubkov exactcomputationofpearsonstatisticsdistributionandsomeexperimentalresults
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