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Econometrica Vol. 58 No. 5 1990

Asymptotic Likelihood-Based Prediction Functions

Thomas F. Cooley; William R. Parke

Abstract

This paper develops asymptotic prediction functions that approximate the shape of the density of future observations and correct for parameter uncertainty. The functions are based on extensions to a definition of predictive likelihood originally suggested by Lauritzen and Hinkley. The prediction function is shown to possess efficiency properties based on the Kullback-Leibler measure of information loss. Examples of the application of the prediction function and the derivation of relative efficiency are shown for linearnormal models, nonnormal models, and ARCH models.

DOI
10.2307/2938307
Volume
58
Issue
5
Pages
1215
Sources
bibtex:phds-export.bib crossref openalex

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