A Subset Selection Formulation of the Complete Ranking Problem.
Abstract
Let (Pi sub 1),...,(Pi sub k) be k independent populations with absolutely continuous distribution functions F sub (theta sub i) (x), i=1,...,k, where (theta sub i) are unknown real-valued parameters. The populations are ranked according to the values of the (theta sub i). The problem is to design a procedure to select a nonempty subset of all k fectorial rankings so as to include the correct ranking with a minimum probability P*. Section 2 considers the cases where the distribution of a statistic (T sub i) = T(X sub i1),...,(X sub in) from (Pi sub i) involves (theta sub i) as a location or scale parameter. Applications to the ranking of normal means (known common variance) and normal variances are discussed. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1974
- Accession Number
- ADA000251
Entities
People
- Deng Yuang Huang
- S. Panchapakesan
Organizations
- Purdue University