Accession Number : AD0690162

Title :   MOMENT ESTIMATORS FOR WEIBULL PARAMETERS AND THEIR ASYMPTOTIC EFFICIENCIES.

Descriptive Note : Summary rept.,

Corporate Author : WEIBULL (WALODDI) LAUSANNE (SWITZERLAND)

Personal Author(s) : Weibull,Waloddi

Report Date : APR 1969

Pagination or Media Count : 18

Abstract : The classical method of moments for estimating distribution parameters, which consists in equating as many of the population moments as the number of unknown parameters to the corresponding sample moments, has been much appreciated, because it is quite easy to use and does not need any ordering of the observations. However, in some cases its efficiency is very poor, so it has to be used with some precaution. In order to elucidate this statement, formulas for the asymptotic efficiency of the most used estimators have been derived for the alternatives of one, two and three unknown parameters. Numerical values corresponding to several values of alpha and for the cases of one or two unknown parameters have been computed and are presented. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, DECISION THEORY), DISTRIBUTION THEORY, DISTRIBUTION FUNCTIONS, ANALYSIS OF VARIANCE, SAMPLING, SWITZERLAND

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE