Selection Procedures for the Means and Variances of Normal Populations When the Sample Sizes are Unequal,
Abstract
Let (Pi sub 1),...,(Pi sub k) be k independent normal populations with means (mu sub 1),...,(mu sub k) and variances (sigma sub 1, sup 2),...,(sigma sub k, sup 2), respectively. The authors interest is to select a non-empty subset of the k populations containing the best when the populations are ranked in terms of (i) the means (mu sub i), when (sigma sub i sup 2) = (sigma sup 2), known or unknown, and (ii) the variance (sigma sub i sup 2), when the (mu sub i) are known or unknown. Procedures and results are derived for the case when sample sizes are unequal. The authors also discuss gamma populations with scale parameter, and selection for normal means that are better than control. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1973
- Accession Number
- AD0766549
Entities
People
- Deng Yuang Huang
- Shanti Gupta
Organizations
- Purdue University