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Order statistics from extreme value distribution,ii: best linear unbiased estimates and some other uses
Authors:N. Balakrishnan  P. S. Chan
Affiliation:Department of Mathematics and Statistics , McMaster University , Hamilton, Ontario, L8S 4K1, Canada
Abstract:Let Yr+1:n ≤ Y:r+2:n ≤≤… n?6:n-<: TYPE-II censored sample from an extreme value population with µ and α as the location and scale parameters, respectively. Tables of coefficients for the best linear unbiased estimators (BLUEs) of µ and α are presented for various choices of censoring and sample sizes n = 2(1)15(5)30; variances and covariance of these estimators are also presented. The computational formulae and procedure used and some checks employed are explained. We finally illustrate some uses of the tables by taking examples.
Keywords:Order statistics  extreme value distribution  location and scale parameters  best linear unbiased estimator  maximum likelihood estimator  best linear invariant estimator  approximate maximum likelihood estimator  linear estimator with polynomial coefficients  Weibull distribution  Type-II censored samples  Q-Q plot
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