Parameter and quantile estimation for the three-parameter gamma distribution based on statistics invariant to unknown location

DOI10.1016/j.jspi.2012.01.018zbMath1237.62029OpenAlexW1980636503MaRDI QIDQ419335

Hideki Nagatsuka, Narayanaswamy Balakrishnan

Publication date: 18 May 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.01.018

zbMATH Keywords

order statisticsconsistencymaximum likelihood estimatorsthreshold parameterBayesian likelihood estimatorsmodified moment estimators

Mathematics Subject Classification ID

Point estimation (62F10) Bayesian inference (62F15) Monte Carlo methods (65C05) Statistical tables (62Q05)

Related Items (4)

A SIMPLE AND EFFICIENT METHOD FOR FITTING THE THREE-PARAMETER GAMMA DISTRIBUTION TO GIVEN DATA ⋮ Analysis of progressive type-II censored gamma distribution ⋮ A consistent method of estimation for three-parameter generalized exponential distribution ⋮ Efficient Estimation of the PDF and the CDF of the Exponentiated Gumbel Distribution

Uses Software

• MersenneTwister
• SPLIDA

Cites Work

• Double exponential formulas for numerical integration
• Maximum likelihood parameter estimation in the three-parameter gamma distribution
• A simulation based approach to the parameter estimation for the three-parameter gamma distribution.
• Simple efficient estimation for the three-parameter gamma distribution
• A Consistent Method of Estimation For The Three-Parameter Gamma Distribution
• Sufficient Conditions for the Existence of a Solution for the Log-Likelihood Equations in the Three-Parameter Gamma Distribution
• Maximum likelihood estimation in a class of nonregular cases
• Interval Estimation for the Three-Parameter Lognormal Distribution via the Likelihood Function
• A NEW APPROACH TO MAXIMUM LIKELIHOOD ESTIMATION OF THE THREE-PARAMETER GAMMA AND WEIBULL DISTRIBUTIONS
• Progressively Censored Sampling in the Three-Parameter Gamma Distribution
• Mersenne twister
• Bayesian Likelihood Methods for Estimating the End Point of a Distribution
• Discrimination between the Log-Normal and the Weibull Distributions
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