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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 3, Pages 107–113 (Mi vngu349)  
Estimating a Number of Cells via a Number of Occupied Ones under Random Choice

M. G. Chebuninab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We consider a scheme of the series where support of the distribution and the sample size increase asymptotically proportionally. One knows a number of different elements of the sample only. We give consistent and asymptotically normal estimator of the parameter, defined as the limiting ratio of sample size to the number of elements of the support.
Keywords: number of different elements, a scheme of the series, consistency and asymptotic normality of the estimator.
Received: 28.11.2013
English version:
Journal of Mathematical Sciences, 2016, Volume 213, Issue 6, Pages 795–801
DOI: https://doi.org/10.1007/s10958-016-2740-2
Document Type: Article
UDC: 519.237.5
Language: Russian
Citation: M. G. Chebunin, “Estimating a Number of Cells via a Number of Occupied Ones under Random Choice”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:3 (2014), 107–113; J. Math. Sci., 213:6 (2016), 795–801
Citation in format AMSBIB
\Bibitem{Che14}
\by M.~G.~Chebunin
\paper Estimating a Number of Cells via a Number of Occupied Ones under Random Choice
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 3
\pages 107--113
\mathnet{http://mi.mathnet.ru/vngu349}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 6
\pages 795--801
\crossref{https://doi.org/10.1007/s10958-016-2740-2}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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