SELECTION PROCEDURES FOR SCALE PARAMETERS USING TWO‐SAMPLE U‐STATISTICS | Zendy

Gill A.N. | Zendy; Mehta G.P. | Zendy

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SELECTION PROCEDURES FOR SCALE PARAMETERS USING TWO‐SAMPLE U‐STATISTICS

Author(s) -

Gill A.N.,

Mehta G.P.

Publication year - 1991

Publication title -

australian journal of statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.434

H-Index - 41

eISSN - 1467-842X

pISSN - 0004-9581

DOI - 10.1111/j.1467-842x.1991.tb00440.x

Subject(s) - statistics , quantile , mathematics , order statistic , selection (genetic algorithm) , rank (graph theory) , scale (ratio) , sample (material) , scale parameter , population , location parameter , cumulative distribution function , combinatorics , computer science , probability distribution , demography , probability density function , geography , physics , artificial intelligence , cartography , sociology , thermodynamics

Summary Let be k independent populations having the same known quantile of order p (0 p 1) and let F (x)=F(x/ i ) be the absolutely continuous cumulative distribution function of the i th population indexed by the scale parameter 1 , i = 1,…, k. We propose subset selection procedures based on two‐sample U ‐statistics for selecting a subset of k populations containing the one associated with the smallest scale parameter. These procedures are compared with the subset selection procedures based on two‐sample linear rank statistics given by Gill & Mehta (1989) in the sense of Pitman asymptotic relative efficiency, with interesting results.

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