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DOI:
https://doi.org/10.37547/tajiir/Volume03Issue06-15
Refining One Theorem For The Romanovsky Distribution
Yusupova A.K. , Candidate Of Physical And Mathematical Sciences, Associate Professor, Fergana State University, Uzbekistan Gafforov R.A. , Teacher, Fergana State University, UzbekistanAbstract
The paper considered a refinement of the theorem for a negative-hypergeometric distribution( the Romanovsky distribution), i.e., convergence over variation of the Romanovsky distribution by Erlang distributions. The theorem is proved by the direct asymptotic method.
Keywords
Negative hypergeometric distribution (the Romanovsky distribution), Erlang distribution, minimax problem.
References
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Azlarov T.A., Yusupova A.K. The minimax problem of the limiting behavior of the V.I.Romanovskii distribution. Reports of the Academy of Sciences of the UzSSR, No. 8 (1990), pp. 4-5.
Yusupova A.K. Asymptotic study of the behavior of the Romanovsky distribution. Dep. at VINITI. B-No. 7547.
Yusupova A.K. Limit theorems for one Romanovskii distribution and their refinement. Collection of articles: Asymptotic problems of probability theory and mathematical statistics, Tashkent: Fan. 1990, S. 157-162.
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