Tables for Best Linear Estimates by Order Statistics of the Parameters of Single Exponential Distributions from Singly and Doubly Censored Samples
Abstract Tables are provided covering sample sizes up to 10. Interpretations are made for the variation of the coefficients and variances of the estimates as the number of censored observations vary. An index of experimental efficiency termed “efficiency per unit of waiting time” can be constructed with the tabulations provided. It is shown that (1) For the one-parameter single exponential distribution, the estimate of σ obtained from singly censored samples from the left has a smaller variance than that based upon singly censored samples from the right, provided that the number of missing observations is equal on both sides. (2) For the two-parameter single exponential distribution: a. The minimum value can be estimated more efficiently in samples censored from the right than in samples censored from the left, provided that the number of missing observations is equal; b. the estimate of the standard deviation in singly and doubly censored samples does not depend upon the side from which censoring takes p...