IJPAM: Volume 94, No. 5 (2014)

BINOMIAL APPROXIMATION FOR RANDOM SUMS
OF BERNOULLI RANDOM VARIABLES

K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND


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.

Received: March 26, 2014

AMS Subject Classification: 62E17, 60F05, 60G05

Key Words and Phrases: Bernoulli random variable, binomial approximation, random sums, total variation distance

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DOI: 10.12732/ijpam.v94i5.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 5
Pages: 697 - 700


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