Location and Scale Parameter Family of Distributions Attaining the Bhattacharyya Bound

DOI10.1080/03610920600683739zbMath1105.62026OpenAlexW2090677155MaRDI QIDQ3424183

Hidekazu Tanaka

Publication date: 15 February 2007

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920600683739

zbMATH Keywords

differential equationexponential familyBhattacharyya inequalitylocation and scale parameter family

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Point estimation (62F10) Characterization and structure theory of statistical distributions (62E10)

Related Items (3)

Unnamed Item ⋮ Bhattacharyya and Kshirsagar Bounds in Generalized Gamma Distribution ⋮ Unnamed Item

Cites Work

• On UMVU estimators and Bhattacharya bounds in exponential distributions
• On the Attainment of Cramer-Rao and Bhattacharyya Bounds for the Variance of an Estimate
• Location and Scale Parameters in Exponential Families of Distributions
• ON THE ATTAINMENT OF THE SUPREMUM OF THE BHATTACHARYYA LOWER BOUNDS FOR VARIANCES OF ESTIMATORS
• On a Relation Between a Family of Distributions Attaining the Bhattacharyya Bound and That of Linear Combinations of the Distributions from an Exponential Family
• The convergence of Bhattacharyya bounds
• Some characterizations based on the Bhattacharya matrix
• On the attainment of the Cramer-Rao lower bound

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