Journal of Probability and Statistics
Volume 2010 (2010), Article ID 423654, 13 pages
doi:10.1155/2010/423654
Research Article

Estimation of Log-Linear-Binomial Distribution with Applications

Elsayed Ali Habib1,2

1Department of Mathematics and Statistics, Faculty of Commerce, Benha University, Al Qalyubiyah, Egypt
2Management and Marketing Department, College of Business, University of Bahrain, P.O. Box 32038, Bahrain

Received 14 April 2010; Revised 21 August 2010; Accepted 23 November 2010

Academic Editor: Daniel Zelterman

Copyright © 2010 Elsayed Ali Habib. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Log-linear-binomial distribution was introduced for describing the behavior of the sum of dependent Bernoulli random variables. The distribution is a generalization of binomial distribution that allows construction of a broad class of distributions. In this paper, we consider the problem of estimating the two parameters of log-linearbinomial distribution by moment and maximum likelihood methods. The distribution is used to fit genetic data and to obtain the sampling distribution of the sign test under dependence among trials.