Title :
Quantile Estimates in Complete and Censored Samples From Extreme-Value and Weibull Distributions
Author :
Hassanein, Khatab M. ; Saleh, A.K.Md.Ehsanes ; Brown, Edward F.
Author_Institution :
Department of Biometry; Kansas University Medical Center; Kansas City, Kansas 66103 USA.
Abstract :
This paper deals with the problem of estimating the quantiles (¿) = 0.01, 0.05(0.05)0.95, 0.99 of the largest extreme-value distribution by using order statistics in small samples. Linear unbiased estimators, with minimum variance, based on ordered observations are constructed for sample sizes 5(5)20 for both complete and right-censored samples.
Keywords :
Cities and towns; Covariance matrix; Maximum likelihood estimation; Paper technology; Reliability engineering; Statistical analysis; Statistical distributions; Statistics; Tiles; Weibull distribution; Extreme-value distribution; Largest value; Order statistic; Quantile estimator; Weibull distribution;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1984.5221868