Geodesic
Estimating a Number of Cells via a Number of Occupied Ones under Random Choice
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 107-113

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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. 
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     author = {M. G. Chebunin},
     title = {Estimating a {Number} of {Cells} via a {Number} of {Occupied} {Ones} under {Random} {Choice}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {107--113},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a8/}
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M. G. Chebunin. Estimating a Number of Cells via a Number of Occupied Ones under Random Choice. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 107-113. http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a8/