Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series B, Pt. 3, 339--349

Efficiencies Of Two-Stage Procedures For Selecting The Normal Population With

By

SUBIR KUMAR BHANDARI and

MAUSUMI BOSE, Indian Statistical Institute, Kolkata, India

SUMMARY. Various selection procedures are available for selecting the normal population which has the largest mean, when the variances are known and equal. However, a general comparison of these procedures for all parameter combinations is not available in the literature. In this paper, we compare two two-stage selection procedures with the standard one-stage procedure by deriving general algebraic expressions for their efficiencies. We obtain necessary and sufficient conditions on the parameters for these efficiencies to be more than unity. For illustration, we compute the efficiencies for some parameter choices. Our results will help experimenters to decide which of these procedure will be appropriate in a particular situation and also assist in choosing the different parameters required for implementing the procedure in an efficient way.

AMS (1991) subject classification}. 62F07, 62L10.

Key words and phrases. Two-stage selection, asymptotic relative efficiency, Probability of correct selection

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