Relation between the covariance and Fisher information matrices

Abram Kagan; Zinoviy Landsman

doi:10.1016/s0167-7152(98)00178-3

Relation between the covariance and Fisher information matrices

Abram Kagan
, Zinoviy Landsman

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that for any two positive definite Hermitian m×m matrices I and V subject to I≥V^-1there exists an m-variate random vector X with V as its covariance matrix and I its matrix of Fisher information.

Original language	English
Pages (from-to)	7-13
Number of pages	7
Journal	Statistics and Probability Letters
Volume	42
Issue number	1
DOIs	https://doi.org/10.1016/s0167-7152(98)00178-3
State	Published - 15 Mar 1999

Keywords

Covariance
Fisher information matrix
Primary 62810

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/s0167-7152(98)00178-3

Cite this

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title = "Relation between the covariance and Fisher information matrices",

abstract = "It is proved that for any two positive definite Hermitian m{\texttimes}m matrices I and V subject to I≥V-1there exists an m-variate random vector X with V as its covariance matrix and I its matrix of Fisher information.",

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AU - Landsman, Zinoviy

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AB - It is proved that for any two positive definite Hermitian m×m matrices I and V subject to I≥V-1there exists an m-variate random vector X with V as its covariance matrix and I its matrix of Fisher information.

KW - Covariance

KW - Fisher information matrix

KW - Primary 62810

UR - https://www.scopus.com/pages/publications/0038128273

U2 - 10.1016/s0167-7152(98)00178-3

DO - 10.1016/s0167-7152(98)00178-3

M3 - Article

AN - SCOPUS:0038128273

SN - 0167-7152

VL - 42

SP - 7

EP - 13

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 1

ER -

Relation between the covariance and Fisher information matrices

Abstract

Keywords

ASJC Scopus subject areas

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