The rate of convergence of the distributions of regular statistics constructed from samples with negatively binomially distributed random sizes to the Student distribution

DOI10.1007/S10958-016-3213-3zbMATH Open1362.60018OpenAlexW2561782787MaRDI QIDQ521124

S. V. Gavrilenko, V. Yu. Korolev, Vasily N. Zubov

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3213-3

zbMATH Keywords

rate of convergencenegative binomial distributiongamma-distributionStudent distributionsamples

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)

Cites Work

• On the accuracy of approximation of the negative binomial distribution by the gamma distribution and convergence rate of the distributions of some statistics to the Student distribution
• Convergence rate estimates in some limit theorems for geometric random sums

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