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Estimation of the smallest normal variance with applications to variance components models

Panayiotis Bobotas and Stavros Kourouklis

Statistics & Probability Letters, 2017, vol. 131, issue C, 38-45

Abstract: It is proved that improved point and interval estimators for the smallest normal variance can be directly obtained from the unrestricted normal variance estimation counterparts. Applications to estimating the error variance in general random or mixed effects models are given.

Keywords: Decision theory; Improved estimators of a normal variance; Improved confidence intervals of a normal variance; Stein-type estimators; Brewster and Zidek-type estimators; Strawderman-type estimators (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.08.005

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