Some improved two-stage shrinkage testimators for the mean of normal distribution
Al-Hemyari, Zuhair

Date: 2009
Abstract: In this paper, we introduced some two-stage shrinkage testimators (TSST) for the mean µ when a prior estimate µ0 of the mean µ is available from the past, by considering a feasible form of the shrinkage weight function which is used in both of the estimation stages with different quantities. The expressions for the bias, mean squared error, expected sample size and relative efficiency for the both cases when o2 known or unknown, are derived and studied. The discussion regarding the usefulness of these testimators under different situations is provided as conclusions from various numerical tables obtained from simulation results.
Rights: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. Creative Commons
Language: Anglès
Document: Article ; recerca ; Versió publicada
Subject: Normal distribution ; Two-stage ; Shrinkage ; Preliminary test region ; Relative efficiency
Published in: SORT : statistics and operations research transactions, Vol. 33, Núm. 2 (July-December 2009) , p. 233-247, ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/148402


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Articles > Research articles

 Record created 2012-07-24, last modified 2022-02-13



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