Accession Number : AD0622274

Title :   ON NON-REGULAR ESTIMATION, MINIMUM VARIANCE BOUNDS AND THE PEARSON TYPE III DISTRIBUTION.

Descriptive Note : Final rept.,

Corporate Author : C-E-I-R INC BEVERLY HILLS CALIF

Personal Author(s) : Blischke,W. R. ; Glinski,A. M. ; Johns,M. V. ,Jr. ; mundle,P. B. ; Truelove,A. J.

Report Date : SEP 1965

Pagination or Media Count : 107

Abstract : This project concerns general investigations on the theory of non-regular estimation and particular investigations leading to asymptotically efficient estimators for the parameters of the Pearson Type III distribution and also for other distributions, including Types I and V of the Pearson system, the Weibull distribution and a generalization of the gamma distribution. In all of these examples the difficulty is in estimating the location parameter. In each case for a non-trivial subset of the parameter space, standard techniques, including those derived specifically for the non-regular case, for determining a lower bound on the variance of an unbiased estimator result in an inequality which states that the variance of all such estimators is non-negative. New bounds, which yield uniformly non-trivial results, have been constructed. These have been applied to the above examples. Some suggestions for constructing estimators whose variance achieves at least the order of magnitude of these bounds are offered. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, STATISTICAL ANALYSIS), ANALYSIS OF VARIANCE, COMPUTER PROGRAMMING

Distribution Statement : APPROVED FOR PUBLIC RELEASE