IJPAM: Volume 84, No. 5 (2013)

POINTWISE BINOMIAL APPROXIMATION IN
A MODEL OF SOMATIC CELL HYBRID

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


Abstract. This paper uses Stein's method to give a non-uniform bound for approximating the distribution of the number of pairs of chromosomes for which the Hamming distance is less than some fixed Hamming distance d by the binomial distribution with parameters |Γ|=253 and p∈(0,1). Two numerical examples have been given to illustrate the obtained result.

Received: January 22, 2013

AMS Subject Classification: 92D10, 60F99, 60F05

Key Words and Phrases: binomial approximation, Poisson approximation, somatic cell hybrid, Hamming distance, Stein's method

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DOI: 10.12732/ijpam.v84i5.14 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: 2013
Volume: 84
Issue: 5