ON BINOMIAL APPROXIMATION FOR INDEPENDENT BERNOULLI RANDOM SUMS

K. Teerapabolarn

doi:10.12732/ijpam.v95i2.10

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ON BINOMIAL APPROXIMATION FOR INDEPENDENT BERNOULLI RANDOM SUMS

K. Teerapabolarn

Year: 2014 Journal: International Journal of Pure and Apllied Mathematics Vol: 95 (2) Publisher: Academic Publications

DOI: 10.12732/ijpam.v95i2.10

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Abstract

A non-uniform bound for the distance between the distribution function of random sums of independent Bernoulli random variables and an appropriate binomial distribution function could be obtained.Two examples have been given to illustrate the result obtained.

Keywords:

Bernoulli's principle Binomial distribution Mathematics Bernoulli distribution Negative binomial distribution Binomial (polynomial) Random variable Beta negative binomial distribution Bernoulli trial Bernoulli process Beta-binomial distribution Function (biology) Distribution (mathematics) Applied mathematics Statistics Mathematical analysis Physics Poisson distribution

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Statistical Distribution Estimation and Applications

Physical Sciences → Mathematics → Statistics and Probability

Probability and Risk Models

Social Sciences → Decision Sciences → Management Science and Operations Research

Bayesian Methods and Mixture Models

Physical Sciences → Computer Science → Artificial Intelligence

ON BINOMIAL APPROXIMATION FOR INDEPENDENT BERNOULLI RANDOM SUMS

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