Sampling theorem and efficiency comparison of three local minimum variance unbiased estimators of the mean and variance of the exponential distribution

DOI10.1080/25742558.2018.1492886zbMath1426.62033OpenAlexW2884317482WikidataQ115549303 ScholiaQ115549303MaRDI QIDQ5193273

Muzhen Li, Guoan Li

Publication date: 10 September 2019

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2018.1492886

zbMATH Keywords

efficiencymeanvariancesample meandifferenceUMVUEsample maximumsample minimumlocal minimum variance unbiased estimatorssampling theorem of exponential distribution

Mathematics Subject Classification ID

Point estimation (62F10) Exact distribution theory in statistics (62E15) Sampling theory, sample surveys (62D05)

Cites Work

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• Unbiased estimation of reliability function from a mixture of two exponential distributions based on a single observation
• Simple Dependent Pairs of Exponential and Uniform Random Variables
• Generalized exponential distributions
• Shrinkage Estimation ofP(Y<X) in the Exponential Case
• A Multivariate Exponential Distribution
• Parameter Estimation for a Multivariate Exponential Distribution
• Estimation in the Exponential Distribution

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