On UMVU estimators and Bhattacharya bounds in exponential distributions

DOI10.1016/0378-3758(84)90021-1zbMath0541.62014OpenAlexW2058673129MaRDI QIDQ794362

Rasul A. Khan

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0378-3758(84)90021-1

zbMATH Keywords

exponential distributionspower series expansionPoisson distributionsnormal distributionsestimable functionslimit of Bhattacharya boundsUMVU estimators

Mathematics Subject Classification ID

Point estimation (62F10) Parametric inference (62F99)

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A view on Bhattacharyya bounds for inverse Gaussian distributions ⋮ Umvu estimation for certain family of exponential distributions ⋮ Estimation based on the winsorized mean in the geometric distribution ⋮ Bhattacharyya-Type Information Inequality for the Bayes Risk ⋮ A note on umvu estimation in the transformed chi-square family ⋮ Location and Scale Parameter Family of Distributions Attaining the Bhattacharyya Bound ⋮ Lower bounds for the variance in certain nonregular distributions

Cites Work

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• A Note on Bhattacharyya Bounds for the Negative Binomial Distribution
• On the Attainment of Cramer-Rao and Bhattacharyya Bounds for the Variance of an Estimate
• Minimum Variance Unbiased Estimators for Poisson Probabilities
• Some Uses of Bhattacharya Bounds in Finding Admissible Estimates