Estimation of Log-Linear-Binomial Distribution with Applications

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 estimat...

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Bibliographic Details
Main Author: Elsayed Ali Habib
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/423654
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Summary: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.
ISSN:1687-952X
1687-9538