Statistical Papers

, Volume 44, Issue 4, pp 483–497 | Cite as

An approximation to the generalized hypergeometric distribution

  • Eisuke Hida
  • Masafumi Akahira


A generalized hypergeometric (GHG) distribution was defined, and its higher order approximations were given by Takeuchi (1984). In this paper, an improvement on the approximation is considered and examined by the numerical calculation. Several examples including the Poisson, binomial, negative-binomial, hypergeometric and negative-hypergeometric distributions are also given.


Hypergeometric Distribution High Order Approximation Edgeworth Expansion Popular Distribution Generalize Hypergeometric Series 
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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  • Eisuke Hida
    • 1
  • Masafumi Akahira
    • 1
  1. 1.Institute of MathematicsUniversity of TsukubaIbarakiJapan

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