Estimation of log-linear-binomial distribution with applications
type: Item
instance of: scholarly article
title: Estimation of log-linear-binomial distribution with applications
zbMATH Open document ID: 1214.62021
DOI: 10.1155/2010/423654
author: Elsayed Ali Habib
published in: Journal of Probability and Statistics
publication date: 2011-06-15T00:00:00Z
full work available at URL: https://eudml.org/doc/230600
review text: 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 the binomial distribution that allows construction of a broad class of distributions. We consider the problem of estimating the two parameters of the log-linear binomial 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.
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 62E15
zbMATH DE Number: 5907949
Wikidata QID: Q58652662
MaRDI profile type: Publication
OpenAlex ID: W2108944444
cites work: Q5288997
cites work: A Saturated Model for Analyzing Exchangeable Binary Data: Applications to Clinical and Developmental Toxicity Studies
cites work: A Full Likelihood Procedure for Analysing Exchangable Binary Data
cites work: Sums of dependent Bernoulli random variables and disease clustering
cites work: Sums of exchangeable Bernoulli random variables for family and litter frequency data
cites work: Random sums of exchangeable variables and actuarial applications
cites work: An alternative representation of Altham's multiplicative-binomial distribution
cites work: Two Generalizations of the Binomial Distribution
cites work: Q5721598
cites work: A family of partially correlated Poisson models for overdispersion
Recommended article: Q3530705
Recommended article: Improved parameter estimation of the log-logistic distribution with applications
Recommended article: Estimation of Lognormal Distributions
Recommended article: Robust explicit estimation of the log-logistic distribution with applications
Recommended article: Q4543430
Recommended article: Q3727149
Recommended article: Q4626281
Recommended article: Maximum Likelihood Estimation of the Log-Binomial Model
Recommended article: Q5314858
description: scientific article; zbMATH DE number 5907949