scholarly journals Refining One Theorem For The Romanovsky Distribution

2021 ◽  
Vol 03 (06) ◽  
pp. 103-108
Author(s):  
Yusupova A.K. ◽  
◽  
Gafforov R.A. ◽  
Keyword(s):  
Asymptotic Method ◽  
Hypergeometric Distribution ◽  
Negative Hypergeometric Distribution ◽  
Erlang Distributions

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.

Battleship and the negative hypergeometric distribution

2018 ◽  
Vol 41 (1) ◽  
pp. 3-7 ◽  
Author(s):  
Melanie A. Autin ◽  
Natasha E. Gerstenschlager
Keyword(s):  
Hypergeometric Distribution ◽  
Negative Hypergeometric Distribution

An Improved Negative Binomial Approximation for Negative Hypergeometric Distribution

2013 ◽  
Vol 427-429 ◽  
pp. 2549-2553 ◽  
Author(s):  
Dong Ping Hu ◽  
Yong Quan Cui ◽  
Ai Hua Yin
Keyword(s):  
Negative Binomial ◽  
Hypergeometric Distribution ◽  
Numerical Examples ◽  
Negative Hypergeometric Distribution ◽  
Binomial Approximation ◽  
Negative Binomial Approximation ◽  
Better Than

This paper gives an improved negative binomial approximation for negative hypergeometric probability. Some numerical examples are presented to illustrate that in most practical cases the effect of our approximation is almost uniformly better than the negative binomial approximation.

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