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Teoriya Veroyatnostei i ee Primeneniya, 2024, Volume 69, Issue 2, Pages 218–232
DOI: https://doi.org/10.4213/tvp5651 (Mi tvp5651) 		 
On one nonparametric estimate of the Poisson regression function

P. Babilua, È. A. Nadaraya

Tbilisi Ivane Javakhishvili State University
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DOI: https://doi.org/10.4213/tvp5651
Abstract: The limiting distribution of the integral square deviation of a nonparametric kernel-type estimator for the Poisson regression function is established. A criterion for testing the hypothesis on the Poisson regression function is constructed. The power asymptotic of the constructed criterion is studied for certain types of close alternatives.
Keywords: Poisson regression function, power of a criterion, consistency, limit distribution.
Received: 25.04.2023
Accepted: 19.07.2023
English version:
Theory of Probability and its Applications, 2024, Volume 69, Issue 2, Pages 173–185
DOI: https://doi.org/10.1137/S0040585X97T991842
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. Babilua, È. A. Nadaraya, “On one nonparametric estimate of the Poisson regression function”, Teor. Veroyatnost. i Primenen., 69:2 (2024), 218–232; Theory Probab. Appl., 69:2 (2024), 173–185
Citation in format AMSBIB
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\by P.~Babilua, \`E.~A.~Nadaraya
\paper On one nonparametric estimate of the Poisson regression function
\jour Teor. Veroyatnost. i Primenen.
\yr 2024
\vol 69
\issue 2
\pages 218--232
\mathnet{http://mi.mathnet.ru/tvp5651}
\crossref{https://doi.org/10.4213/tvp5651}
\transl
\jour Theory Probab. Appl.
\yr 2024
\vol 69
\issue 2
\pages 173--185
\crossref{https://doi.org/10.1137/S0040585X97T991842}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85202552068}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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