This paper deals with the simultaneous estimation of the location parameter μ and the scale parameter σ of the Weibull distribution when both are unknown and the shape parameter γ is known. The best linear unbiased estimate (BLUE) (μ, σ) 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) (μ*, σ*) 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 (μ, σ) based on k = 3, 4 optimum ordered observations are provided.
No takes yet. Share an insight, caveat, or question.
Chan et al. (1974) studied this question.