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Selection from Logistic populations
Author(s) -
Laan P.
Publication year - 1989
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1989.tb01257.x
Subject(s) - selection (genetic algorithm) , mathematics , statistics , population , combinatorics , random variable , population mean , value (mathematics) , sample (material) , computer science , demography , artificial intelligence , physics , sociology , thermodynamics , estimator
Assume k ( k ≥ 2) independent populations π 1 , π 2 μ k are given. The associated independent random variables X i ,( i = 1,2,… k ) are Logistically distributed with unknown means μ 1 , μ 2 , μ k and equal variances. The goal is to select that population which has the largest mean. The procedure is to select that population which yielded the maximal sample value. Let μ (1) ≤μ (2) ≤…≤μ (k) denote the ordered means. The probability of correct selection has been determined for the Least Favourable Configuration μ (1) =μ (2) ==μ (k – 1) =μ (k) –δ where δ > 0. An exact formula for the probability of correct selection is given.