Poisson Approximation for a Sum of Negative Binomial Random Variables

Author:

Teerapabolarn K.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference5 articles.

1. Barbour, A.D., Holst, L., Janson, S.: Poisson Approximation, Oxford Studies in Probability 2. Clarendon Press, Oxford (1992)

2. Chen, L.H.Y.: Poisson approximation for dependent trials. Ann. Probab. 3, 534–545 (1975)

3. Stein, C.M.: A bound for the error in normal approximation to the distribution of a sum of dependent random variables. In: Proceedings Sixth Berkeley Symposium Mathematical Statistics and Probability 3, 583–602 (1972)

4. Teerapabolarn, K.: An improvement of Poisson approximation for sums of dependent Bernoulli random variables. Commun. Stat. Theory Methods 43, 1758–1777 (2014)

5. Vellaisamy, P., Upadhye, N.S.: Compound negative binomial approximations for sums of random variables. Probab. Math. Stat. 29, 205–226 (2009)

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