Pitman closeness of the class of isotonic estimators for ordered scale parameters of two gamma distributions

DOI10.1007/s00362-013-0508-zzbMath1336.62075OpenAlexW2004892495MaRDI QIDQ744792

Shuangzhe Liu, Tie-Feng Ma

Publication date: 26 September 2014

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-013-0508-z

zbMATH Keywords

maximum likelihood estimatorgamma distributionPitman closeness criterionisotonic estimatororder restrictionunbiased estimator

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Parametric inference under constraints (62F30)

Cites Work

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• Pitman nearness comparisons of Stein-type estimators for regression coefficients in replicated experiments
• Estimation of two order restricted normal means with unknown and possibly unequal variances
• A comparison of restricted and unrestricted estimators in estimating linear functions of ordered scale parameters of two gamma distributions
• Minimax adjustment technique in a parameter restricted linear model
• Pitman closeness results concerning ranked set sampling
• Pitman closeness, monotonicity and consistency of best linear unbiased and invariant estimators for exponential distribution under Type II censoring
• On the Medians of Gamma Distributions and an Equation of Ramanujan
• The pitman nearness criterion and its determination
• Comparison of regression estimators using Pitman measures of nearness.

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