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The generalized Charlier series distribution as a distribution with two-step recursion

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  • Kitano, Masashi
  • Shimizu, Kunio
  • Ong, S.H.

Abstract

The paper provides a generalization of the discrete Charlier series distribution as a counting distribution which satisfies two-step recursion. Some properties of the proposed distribution are studied. A recursion formula is given for the evaluation of corresponding compound distributions.

Suggested Citation

  • Kitano, Masashi & Shimizu, Kunio & Ong, S.H., 2005. "The generalized Charlier series distribution as a distribution with two-step recursion," Statistics & Probability Letters, Elsevier, vol. 75(4), pages 280-290, December.
    • Handle: RePEc:eee:stapro:v:75:y:2005:i:4:p:280-290
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    References listed on IDEAS

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    1. Sundt, Bjørn & Jewell, William S., 1981. "Further Results on Recursive Evaluation of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 27-39, June.
    2. Panjer, Harry H., 1981. "Recursive Evaluation of a Family of Compound Distributions," ASTIN Bulletin, Cambridge University Press, vol. 12(1), pages 22-26, June.
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    Cited by:

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