IJPAM: Volume 94, No. 5 (2014)
BINOMIAL APPROXIMATION FOR RANDOM SUMS
OF BERNOULLI RANDOM VARIABLES
OF BERNOULLI RANDOM VARIABLES
K. Teerapabolarn
Department of Mathematics
Faculty of Science
Burapha University
Chonburi, 20131, THAILAND
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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This work is licensed under the Creative Commons Attribution International License (CC BY).