BINOMIAL APPROXIMATION FOR RANDOM SUMS OF BERNOULLI RANDOM VARIABLES

K. Teerapabolarn

doi:10.12732/ijpam.v94i5.7

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BINOMIAL APPROXIMATION FOR RANDOM SUMS OF BERNOULLI RANDOM VARIABLES

K. Teerapabolarn

Year: 2014 Journal: International Journal of Pure and Apllied Mathematics Vol: 94 (5) Publisher: Academic Publications

DOI: 10.12732/ijpam.v94i5.7

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Abstract

In this paper, we give a bound for the total variation distance between the distribution of random sums of independent Bernoulli random variables and a binomial distribution.Two examples have been given to illustrate the result obtained.

Keywords:

Bernoulli's principle Binomial distribution Mathematics Negative binomial distribution Bernoulli distribution Binomial (polynomial) Random variable Distribution (mathematics) Statistics Beta-binomial distribution Mathematical analysis Physics Poisson distribution

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Bayesian Methods and Mixture Models

Physical Sciences → Computer Science → Artificial Intelligence

Mathematical Approximation and Integration

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Mathematical functions and polynomials

Physical Sciences → Mathematics → Applied Mathematics

BINOMIAL APPROXIMATION FOR RANDOM SUMS OF BERNOULLI RANDOM VARIABLES

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