A new class of improved estimators of a multinormal precision matrix

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Stein and Haff's technique is used to obtain improved estimators of the multinormal precision matrix under a loss introduced by Efron and Morris (1976). The technique is to obtain solutions to a certain differential inequality involving the eigenvalues of the sample covariance matrix. A new class of improved estimators are obtained by solving the differential inequality.

Original languageEnglish
Pages (from-to)141-152
Number of pages12
JournalStatistics and Risk Modeling
Volume8
Issue number2
DOIs
StatePublished - Feb 1990

Bibliographical note

Funding Information:
by AF0SR Grant Number 89-0225 supported by the NSF Grant Number by NSF EPSC0R Grant, RI1-8610671

Funding

by AF0SR Grant Number 89-0225 supported by the NSF Grant Number by NSF EPSC0R Grant, RI1-8610671

FundersFunder number
NSF EPSC0RRI1-8610671
National Science Foundation (NSF)

    Keywords

    • Wishart distribution
    • empirical Bayes estimators
    • matrix means
    • minimax estimators
    • precision matrix

    ASJC Scopus subject areas

    • Statistics and Probability
    • Modeling and Simulation
    • Statistics, Probability and Uncertainty

    Fingerprint

    Dive into the research topics of 'A new class of improved estimators of a multinormal precision matrix'. Together they form a unique fingerprint.

    Cite this