Selection of the Best from Lognormal Populations Using Type-II Censored Data: Unknown σi 2 Case

• Published in: Sequential analysis Vol. 25; no. 2; pp. 151 - 166
• Main Authors: John, Thomas T., Chen, Pinyuen
• Format: Journal Article
• Language: English
• Published: Taylor & Francis Group 01-07-2006
• Subjects: Lognormal distribution; Selecting the best; Two-stage procedures; Type-II censoring
• ISSN: 0747-4946; 1532-4176
• DOI: 10.1080/07474940600596661

We consider the problem of selecting the best from k lognormal
populations using type-II censored samples. The selection parameter is taken to be a linear combination, a μ + b σ
2
, since many quantities of interest associated with lognormal can be expressed as exp(a μ + b σ
2
). Since the known
case has been dealt with elsewhere, the case of unknown
is the focus of this paper. Two-stage procedures are proposed, one for the equal case and the other for the unequal case. The procedure for the equal case, with a simple modification for the subcase when there is no censoring, is comparable to the procedure of Bechhofer et al. (
1954
), and the comparison is discussed. A discussion on the optimality of the procedures is also included.
Recommended by M. Aoshima