Accession Number : AD0712487

Title :   ASYMPTOTICALLY EFFICIENT ESTIMATION BY LOCAL LOCATION-PARAMETER APPROXIMATIONS.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Moore,D. S.

Report Date : AUG 1970

Pagination or Media Count : 23

Abstract : It is well known that there exist asymptotically efficient estimators for regular location parameter families. Linear combinations of order statistics may be used. Fraser observed that if F(x, theta) is any regular stochastically increasing family of distributions and theta sub 1 any fixed parameter value, a transformation S(./theta sub 1) exists such that the transformed random variable has approximately a location parameter distribution for theta near theta sub 1. One can therefore estimate theta by using an inefficient but consistent estimator theta prime sub n, applying the transformation S(./theta prime sub n) to the observations and using the A(E sup n) estimator for the approximating location parameter family. It is shown that this procedure is asymptotically efficient and an example of its use is given. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, DECISION THEORY), APPROXIMATION(MATHEMATICS), STATISTICAL DISTRIBUTIONS, PROBABILITY DENSITY FUNCTIONS, SAMPLING, THEOREMS, DISTRIBUTION FUNCTIONS, STOCHASTIC PROCESSES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE