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# Poisson approximation for random sums of Bernoulli random variables

Department of Mathematics, Royal Institute of Technology, S-10044 Stockholm, Sweden

Statistics [?] Probability Letters (Impact Factor: 0.53). 02/1991; DOI: 10.1016/0167-7152(91)90135-E -
##### Article: A new bound on pointwise Poisson approximation for random sums of Bernoulli random variables

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**ABSTRACT:**A new bound for the point metric between the distribution of random sums of independent Bernoulli random variables and an appropriate Poisson distribution is obtained. The bound in this study is sharper than those reported in [3].International Journal of Pure and Applied Mathematics. 12/2013; 89(2). - [Show abstract] [Hide abstract]

**ABSTRACT:**Bounds for the distance between the distribution function of random sums of independent Bernoulli random variables and an appropriate Poisson distribution function are improved. The bounds in this study are more appropriate for measuring the accuracy of Poisson approximation.International Journal of Pure and Applied Mathematics. 11/2013; 89(1). - International Journal of Pure and Apllied Mathematics. 08/2014; 94(5).

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