The Annals of Statistics

Maximum Likelihood and Decision Theory

Bradley Efron

Source: Ann. Statist. Volume 10, Number 2 (1982), 340-356.

Abstract

This paper discusses five questions concerning maximum likelihood estimation: What kind of theory is maximum likelihood? How is maximum likelihood used in practice? To what extent can this theory and practice be justified from a decision-theoretic viewpoint? What are maximum likelihood's principal virtues and defects? What improvements have been suggested by decision theory?

Primary Subjects: 62A10
Secondary Subjects: 62B10
Keywords: Maximum likelihood estimate; summary; Fisher information; Stein estimation

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aos/1176345778
JSTOR: links.jstor.org
Digital Object Identifier: doi:10.1214/aos/1176345778
Mathematical Reviews number (MathSciNet): MR653516
Zentralblatt MATH identifier: 0494.62004


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