Title :
Simultaneous Estimation of Location and Scale Parameters of the Weibull Distribution
Author :
Chan, Lai K. ; Cheng, Smiley W. ; Mead, E.R.
Author_Institution :
Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 3K7
Abstract :
This paper deals with the simultaneous estimation of the location parameter ¿ and the scale parameter ¿ of the Weibull distribution when both are unknown and the shape parameter ¿ is known. The best linear unbiased estimate (BLUE) (¿, ¿) based on a subset of k optimum ordered observations selected from the whole sample is compared with 1) Ogawa´s asymptotically best linear estimate (ABLE) (¿*, ¿*) based on k ordered observations whose ranks are approximated by an asymptotic optimum selection, and 2) the BLUE based on the ranks in 1). Tables facilitating the computation of (¿, ¿) based on k = 3, 4 optimum ordered observations are provided.
Keywords :
Acquired immune deficiency syndrome; Artificial intelligence; Covariance matrix; Materials reliability; Reliability engineering; Reliability theory; Shape; Statistics; Weibull distribution;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1974.5215298
