Maximum likelihood methods for linear and log-linear models in categorical data

1985 ◽  
Vol 3 ◽  
pp. 1-10 ◽  
Author(s):  
Michael Haber
Keyword(s):  
Maximum Likelihood ◽  
Categorical Data ◽  
Linear Models ◽  
Likelihood Methods ◽  
Maximum Likelihood Methods ◽  
Log Linear

scholarly journals Estimation of Log-Linear-Binomial Distribution with Applications

2010 ◽  
Vol 2010 ◽  
pp. 1-13
Author(s):  
Elsayed Ali Habib
Keyword(s):  
Maximum Likelihood ◽  
Binomial Distribution ◽  
Broad Class ◽  
Genetic Data ◽  
Sign Test ◽  
Likelihood Methods ◽  
Bernoulli Random Variables ◽  
Maximum Likelihood Methods ◽  
Two Parameters ◽  
Log Linear

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.

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