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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 481–494 (Mi tvp3064)  
This article is cited in 11 scientific papers (total in 11 papers)

Chi-square goodness-of-fit test for the Poisson, binomial and negative binomial distributions

L. N. Bol'šev, M. Mirvaliev

Moscow
Full-text PDF (961 kB) Citations (11)
Abstract: Some tests of chi-square-type are constructed for testing Poisson, binomial or negative binomial hypothesis. Some grouping procedures are discussed when unknown nuisance parameters are estimated from ungrouped data. For alternatives of the above types, some special tests are proposed.
As an example, the data due to Rutherford and his assistants concerning the emission of $\alpha$-particles are considered. These data lead to rejection of the Poisson hypothesis in favour of the binomial alternative. However this does not contradict the exponential model of emission and might be explained by means of «resolving time».
Received: 14.07.1977
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 3, Pages 461–474
DOI: https://doi.org/10.1137/1123057
Bibliographic databases:
Language: Russian
Citation: L. N. Bol'šev, M. Mirvaliev, “Chi-square goodness-of-fit test for the Poisson, binomial and negative binomial distributions”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 481–494; Theory Probab. Appl., 23:3 (1979), 461–474
Citation in format AMSBIB
\Bibitem{BolMir78}
\by L.~N.~Bol'{\v s}ev, M.~Mirvaliev
\paper Chi-square goodness-of-fit test for the Poisson, binomial and negative binomial distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 3
\pages 481--494
\mathnet{http://mi.mathnet.ru/tvp3064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509724}
\zmath{https://zbmath.org/?q=an:0402.62012}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 3
\pages 461--474
\crossref{https://doi.org/10.1137/1123057}
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  • https://www.mathnet.ru/eng/tvp3064
  • https://www.mathnet.ru/eng/tvp/v23/i3/p481
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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    Abstract page:1017
    Full-text PDF :1977
    First page:2
     
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