Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables

Sasithorn Kongudomthrap; Nattakarn Chaidee

doi:10.5539/jmr.v4n3p29

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Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables

Sasithorn Kongudomthrap Nattakarn Chaidee

Year: 2012 Journal: Journal of Mathematics Research Vol: 4 (3) Publisher: Canadian Center of Science and Education

DOI: 10.5539/jmr.v4n3p29

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Abstract

Let $(X_n)$ be a sequence of Bernoulli random variables and $N$ a positive integer value random variable. Assume that $N, X_1,X_2,\ldots$ are independent. In this paper, we investigate uniformand non-uniform bounds in Poisson approximation for random sums $X_1+X_2+\cdots+X_N$.

Keywords:

Mathematics Bernoulli's principle Poisson distribution Random variable Combinatorics Bernoulli distribution Sequence (biology) Expected value Value (mathematics) Discrete mathematics Statistics Physics

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Probability and Risk Models

Social Sciences → Decision Sciences → Management Science and Operations Research

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Physical Sciences → Mathematics → Numerical Analysis

Approximation Theory and Sequence Spaces

Physical Sciences → Mathematics → Statistics and Probability

Bounds in Poisson Approximation for Random Sums of Bernoulli Random Variables

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