The Rate of Convergence of the Distributions of Regular Statistics Constructed from Samples with Negatively Binomially Distributed Random Sizes to the Student Distribution
Autor: | V. N. Zubov, S. V. Gavrilenko, V. Yu. Korolev |
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Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Journal of Mathematical Sciences. 220:701-713 |
ISSN: | 1573-8795 1072-3374 |
Popis: | New estimates are obtained for the rate of convergence of the negative binomial distribution with parameters (r, p) to the gamma-distribution with parameters (r, r) when p → 0. The main result is a considerable improvement of convergence rate estimates for regular statistics constructed from samples with negatively binomially distributed random sizes to the Student distribution. |
Databáze: | OpenAIRE |
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