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On a modified binomial distribution of order k

Author

Listed:
  • Huang, Wen-Tao
  • Tsai, Chiou-Shiang

Abstract

We propose a modified model of the binomial distribution of order k and obtain its probability generating function (pgf). We also extend the modified model and compute its pgf. The Poisson limit is also shown under some conditions.

Suggested Citation

  • Huang, Wen-Tao & Tsai, Chiou-Shiang, 1991. "On a modified binomial distribution of order k," Statistics & Probability Letters, Elsevier, vol. 11(2), pages 125-131, February.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:2:p:125-131
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    Cited by:

    1. P. Vellaisamy & V. Čekanavičius, 2018. "Infinitely Divisible Approximations for Sums of m-Dependent Random Variables," Journal of Theoretical Probability, Springer, vol. 31(4), pages 2432-2445, December.
    2. Upadhye, N.S. & Kumar, A.N., 2018. "Pseudo-binomial approximation to (k1,k2)-runs," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 19-30.
    3. Sigeo Aki, 2019. "Waiting time for consecutive repetitions of a pattern and related distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(2), pages 307-325, April.
    4. V. Čekanavičius & P. Vellaisamy, 2015. "A Compound Poisson Convergence Theorem for Sums of $$m$$ m -Dependent Variables," Journal of Theoretical Probability, Springer, vol. 28(3), pages 1145-1164, September.

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