Maximum Likelihood Estimation for the 4-Parameter Beta Distribution

DOI10.1080/03610918908812774zbMath0695.62069OpenAlexW2082686590MaRDI QIDQ3471387

J. V. Carnahan

Publication date: 1989

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918908812774

zbMATH Keywords

regularity conditionsmaximum likelihood estimatesbeta distributionparameter bias

Mathematics Subject Classification ID

Point estimation (62F10)

Related Items (4)

Zero-inflated beta distribution applied to word frequency and lexical dispersion in corpus linguistics ⋮ Basis risk management and randomly scaled uncertainty ⋮ A Note on Estimation in the Four-Parameter Beta Distribution ⋮ Bayesian beta regression for bounded responses with unknown supports

Uses Software

• IMSL Numerical Libraries

Cites Work

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• Small sample properties of the maximum likelihood estimators for an alternative parameterization of the three-parameter lognormal distribution
• Simulation and estimation problems associated with the 3-parameter gamma density
• Estimation in the Three-Parameter Lognormal Distribution
• Maximum Likelihood Estimation of Parameters in the Inverse Gaussian Distribution, with Unknown Origin
• Properties of estimators for the gamma distribution
• Maximum likelihood estimation for the beta distribution
• Maximum Likelihood Estimation with the Weibull Model
• Maximum Likelihood Estimation of the Parameters of the Beta Distribution from Smallest Order Statistics
• Asymptotic Variances and Covariances of Maximum-Likelihood Estimators, from Censored Samples, of the Parameters of Weibull and Gamma Populations
• Systems of Frequency Curves
• On Non-Regular Estimation. I. Variance Bounds for Estimators of Location Parameters
• ESTIMATION OF PARAMETERS IN THE FOUR‐PARAMETER LOGNORMAL DISTRIBUTION
• A Survey of Maximum Likelihood Estimation
• ESTIMATION OF PARAMETERS IN THE THREE‐PARAMETER LOGNORMAL DISTRIBUTION1
• The Three-Parameter Lognormal Distribution and Bayesian Analysis of a Point-Source Epidemic
• Estimating Parameters of Logarithmic-Normal Distributions by Maximum Likelihood
• Minimum Variance Estimation Without Regularity Assumptions

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