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On multi-stage procedures for estimating the largest mean of NOrmal populations having unequal and unknown variances

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  • Ajit Chaturvedi
  • Rahul Gupta

Abstract

The problem of constructing confidence interval for the largest of k normal means considered by Saxena and Tong (1969) and Tong (1970, 1973) is extended by considering the case when the populations have unequal and unknown variances. Several multi-stage estimation procedures (like, two-stage, three-stage and accelerated sequential procedures) are developed to deal with the estimation problem. Nice asymptotic properties of these estimation procedures are studied and their relative advantages and disadvantages are discussed.

Suggested Citation

  • Ajit Chaturvedi & Rahul Gupta, 1996. "On multi-stage procedures for estimating the largest mean of NOrmal populations having unequal and unknown variances," Scandinavian Actuarial Journal, Taylor & Francis Journals, vol. 1996(1), pages 64-78.
    • Handle: RePEc:taf:sactxx:v:1996:y:1996:i:1:p:64-78
    DOI: 10.1080/03461238.1996.10413964
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