Email this article Estimation of the Number of Cells via the Number of Randomly Occupied Cells
- Authors: Chebunin M.G.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 213, No 6 (2016)
- Pages: 795-801
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237262
- DOI: https://doi.org/10.1007/s10958-016-2740-2
- ID: 237262
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Abstract
We consider a scheme of series where the growth of the distribution support is asymptoticially proportional to the growth of the sample size. It is assumed that the values of sample elements are inaccessible, whereas the number of different elements is known. Based on this statistic, we construct a consistent and asymptotically normal estimate for the parameter expressing the limiting ratio of the sample size to the number of support elements. Bibliography: 5 titles.
About the authors
M. G. Chebunin
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: chebuninmikhail@gmail.com
Russian Federation, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
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