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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 1, Pages 159–165 (Mi tvp3297)  
Short Communications

A uniqueness property of the chi-square distribution

N. K. Bakirov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (437 kB)
Abstract: We show conditions under which the chi-square statistic in the polynomial scheme is (up to a functional transformation) a unique statistic whose asymptotic distribution (when the number of observations grows to infinity) depends only on a one-dimensional parameter on the set of contiguous alternatives.
Keywords: chi-square statistic, nuisance parameters, uniqueness.
Received: 29.12.1991
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 1, Pages 130–136
DOI: https://doi.org/10.1137/1140009
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. K. Bakirov, “A uniqueness property of the chi-square distribution”, Teor. Veroyatnost. i Primenen., 40:1 (1995), 159–165; Theory Probab. Appl., 40:1 (1995), 130–136
Citation in format AMSBIB
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\issue 1
\pages 159--165
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\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 1
\pages 130--136
\crossref{https://doi.org/10.1137/1140009}
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