Existence and uniqueness of the maximum likelihood estimator for the two- parameter negative binomial distribution

DOI10.1016/0167-7152(92)90157-ZzbMath0758.62017OpenAlexW2046220783MaRDI QIDQ1202293

Jorge Aragón, Shelly Eberly, David H. Eberly

Publication date: 22 February 1993

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90157-z

zbMATH Keywords

Newton's methodmaximum likelihood equationstwo-parameter negative binomial distribution

Mathematics Subject Classification ID

Point estimation (62F10)

Related Items (9)

On a hyperbinomial process ⋮ Characterizations of non-normalized discrete probability distributions and their application in statistics ⋮ Characterizations and generalizations of the negative binomial distribution ⋮ Estimation problems for the two-parameter negative binomial distribution ⋮ Growth estimators and confidence intervals for the mean of negative binomial random variables with unknown dispersion ⋮ On the ML-estimator of the positive and negative two-parameter binomial distribution ⋮ Uniqueness of maximum likelihood estimators for a backup system in a condition-based maintenance ⋮ A bivariate Sarmanov regression model for count data with generalised Poisson marginals ⋮ Robust confidence bounds for the mean of some count data models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete sufficiency and maximum likelihood estimation for the two- parameter negative binomial distribution
• A note on bounds for the asymptotic sampling variance of the maximum likelihood estimator estimator of a parameter in the negative binomial distribution
• Estimation of the Negative Binomial Parameter κ by Maximum Quasi -Likelihood
• NEGATIVE BINOMIAL DISTRIBUTIONS WITH A COMMON K
• The Asymptotic Variances of Method of Moments Estimates of the Parameters of the Truncated Binomial and Negative Binomial Distributions
• Binomial and Censored Sampling in Estimation and Decision Making for the Negative Binomial Distribution
• Efficiency of certain methods of estimation for the negative binomial and the Neyman type A distributions
• A Rapid and Efficient Estimation Procedure for the Negative Binomial Distribution
• SAMPLING THEORY OF THE NEGATIVE BINOMIAL AND LOGARITHMIC SERIES DISTRIBUTIONS

This page was built for publication: Existence and uniqueness of the maximum likelihood estimator for the two- parameter negative binomial distribution