Accession Number : AD0712028

Title :   LIMITING PROPERTIES OF LIKELIHOODS AND INFERENCE.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Hajek,Jaroslav

Report Date : JAN 1970

Pagination or Media Count : 37

Abstract : The paper supports to some extent the idea that the likelihood principle is applicable within a wide area. The sphere of applicability does not depend on the form of the sample space but on the form of likelihood functions (likelihoods, for short). If the likelihoods are exactly normal, then being given a likelihood function we may draw inference ignoring the statistical model in the background. The main purpose of the paper is to investigate how far the background model may be ignored, if the likelihoods are only approximately normal. The investigation will be done in the framework of asymptotic theory, whose basic features the paper discusses. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, ASYMPTOTIC SERIES), DISTRIBUTION THEORY, PROBABILITY, RANDOM VARIABLES, PROBABILITY DENSITY FUNCTIONS, DECISION THEORY, SEQUENCES(MATHEMATICS), THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE