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Nonnegative Definiteness of the Sample Autocovariance Function

Authors :
A. Ian McLeod
Carlos Maté Jiménez
Source :
The American Statistician. 38:297-298
Publication Year :
1984
Publisher :
Informa UK Limited, 1984.

Abstract

Various textbooks on time series analysis assert that the usual version of the sample autocovariance function (1) is nonnegative definite. Two simple proofs of this result are presented.

Details

ISSN :
15372731 and 00031305
Volume :
38
Database :
OpenAIRE
Journal :
The American Statistician
Accession number :
edsair.doi.dedup.....b7dfea7d8e51a7e628c0daaa7afdaab0
Full Text :
https://doi.org/10.1080/00031305.1984.10483233