A Robust Subset Selection Procedure for Location Parameter Case Based on Hodges-Lehmann Estimators

1988 ◽  
Author(s):  
Kang S. Lee
1988 ◽  
Author(s):  
Shanti S. Gupta ◽  
TaChen Liang

1994 ◽  
Vol 44 (1-2) ◽  
pp. 41-48
Author(s):  
Tong-An Hsu

Let A1, A2,…, A k be k alternatives for a decision problem. Saaty uses ratio scale (π1, π2,…, π k) for the priorities of the alternatives. In a subset selection problem, we derive some selection procedure to select a subset from the k alternatives which includes the largest priority.


1980 ◽  
Vol 9 (13) ◽  
pp. 1371-1383 ◽  
Author(s):  
Joseph V. Kingston ◽  
Jagdish K. Patel

1992 ◽  
Vol 42 (3-4) ◽  
pp. 201-220 ◽  
Author(s):  
Narinder Kumar ◽  
Amar Nath Gill ◽  
Gobind P . Mehta

Let π1, ... , πk be k independent populations and let Fi ( x)= F( x - θi) be the absolutely continuous cumulative distribution function (cdf) of the i-th population indexed by the location parameter θi; i=1,,.... k. A class of subset selection procedures based on sub-sample extrema for unequal sample sizes is proposed for the problem of selecting a subset from ( π1, .... πk) which contains the population with largest location parameter. The proposed subset selection procedures are then compared with the subset selection procedures of Hsu (1981) in the sense of Pitman ARE (asymptotic relative efficiency). It is shown that these procedures can approximately be implemented with the help of existing tables and sample size sufficient for their implementation, based on simulation results, is discussed. AMS (1980) Subject Classification: Primary 62F07; Secondary 62H10


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