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Teoriya Veroyatnostei i ee Primeneniya, 2018, Volume 63, Issue 4, Pages 654–668
DOI: https://doi.org/10.4213/tvp5164 (Mi tvp5164) 		 
On one homogeneity test based on quadratic deviations between kernel estimators of a distribution density in $p\geq 2$ independent samples

P. Babilua, E. A. Nadaraya

Tbilisi Ivane Javakhishvili State University
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DOI: https://doi.org/10.4213/tvp5164
Abstract: A homogeneity test is constructed based on kernel-type estimators of a distribution density. The limit power of the test thus constructed is found for Pitman-type close alternatives.
Keywords: homogeneity hypothesis, test power, kernel estimator of density, limit theorem, Brownian bridges.
Received: 08.09.2017
Revised: 17.04.2018
Accepted: 26.04.2018
English version:
Theory of Probability and its Applications, 2019, Volume 63, Issue 4, Pages 532–544
DOI: https://doi.org/10.1137/S0040585X97T989234
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. Babilua, E. A. Nadaraya, “On one homogeneity test based on quadratic deviations between kernel estimators of a distribution density in $p\geq 2$ independent samples”, Teor. Veroyatnost. i Primenen., 63:4 (2018), 654–668; Theory Probab. Appl., 63:4 (2019), 532–544
Citation in format AMSBIB
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