Further developments in estimation of the largest mean of K normal populations

Mukhopadhyay, N., Chattopadhyay, S. and Sahu, S.K. (1993) Further developments in estimation of the largest mean of K normal populations. Metrika, 40, (1), 173-183. (doi:10.1007/BF02613675).


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Original Publication URL: http://dx.doi.org/10.1007/BF02613675


We revisit the bounded maximal risk point estimation problem as well as the fixed-width confidence interval estimation problem for the largest mean amongk(?2) independent normal populations having unknown means and unknown but equal variance. In the point estimation setup, we devise appropriate two-stage and modified two-stage methodologies so that the associatedmaximal risk can bebounded from aboveexactly by a preassigned positive number. Kuo and Mukhopadhyay (1990), however, emphasized only the asymptotics in this context. We have also introduced, in both point and interval estimation problems,accelerated sequential methodologies thereby saving sampling operations tremendously over the purely sequential schemes considered in Kuo and Mukhopadhyay (1990), but enjoying at the same time asymptotic second-order characteristics, fairly similar to those of the purely sequential ones.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/BF02613675
ISSNs: 002613351435926X (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 54071
Accepted Date and Publication Date:
Date Deposited: 04 Aug 2008
Last Modified: 31 Mar 2016 12:33
URI: http://eprints.soton.ac.uk/id/eprint/54071

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