Asymptotic distribution for goodness-of-fit statistics in a sequence of multinomial models.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F02%3A16020011" target="_blank" >RIV/67985556:_____/02:16020011 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Asymptotic distribution for goodness-of-fit statistics in a sequence of multinomial models.

Original language description

We consider a class of disparity measures between discrete distributions consisting of k depending, as well as the probability themselves, on n=1,2,... and their estimates based on k multinomially distributed statistics. Using the classical results of Pearson and Tumayan, we formulate new conditions on sequences of distributions under which standardized disparities tend to the chi-square or normal laws when n increases to infinity.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

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Project

<a href="/en/project/IAA1075101" target="_blank" >IAA1075101: General asymptotic theory of M-estimators</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Statistics & Probability Letters

ISSN

0167-7152

e-ISSN

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Volume of the periodical

56

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

11

Pages from-to

57-67

UT code for WoS article

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EID of the result in the Scopus database

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