Finite sample properties of the partially restricted reduced form estimator

The paper considers the exact density of a linear function of the PRRF estimator under the same set of assumptions as in Nagar and Sahay (l978). We obtain the general expression for the exact moments of such a linear function, which can be used to obtain expressions for moments of arbitrary order. U...

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Autor principal: Hassan Arvin-Rad
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PT
Publicado: Universidade de São Paulo 1998
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Acceso en línea:https://doaj.org/article/f9f3ef245d21488bab3a5c18d0e624a8
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spelling oai:doaj.org-article:f9f3ef245d21488bab3a5c18d0e624a82021-11-24T16:08:24ZFinite sample properties of the partially restricted reduced form estimator0101-41611980-5357https://doaj.org/article/f9f3ef245d21488bab3a5c18d0e624a81998-06-01T00:00:00Zhttps://www.revistas.usp.br/ee/article/view/117057https://doaj.org/toc/0101-4161https://doaj.org/toc/1980-5357The paper considers the exact density of a linear function of the PRRF estimator under the same set of assumptions as in Nagar and Sahay (l978). We obtain the general expression for the exact moments of such a linear function, which can be used to obtain expressions for moments of arbitrary order. Using this result the explicit formulae for the first four integer moments are given. We will then extend the results to the case where the matrix of exogenous variables is only assumed to have full column rank, and the covariance matrix of the endogenous variables has to be only positive definite. The analytical tool used to work out these results is the technique of fractional calculus first applied to econometrics by Phillips (l984). Hassan Arvin-RadUniversidade de São Pauloarticlepartially restricted reduced form estimatorexact densityexact momentsmean squared prediction errorfractional calculusEconomics as a scienceHB71-74ENPTEstudos Econômicos, Vol 28, Iss 2 (1998)
institution DOAJ
collection DOAJ
language EN
PT
topic partially restricted reduced form estimator
exact density
exact moments
mean squared prediction error
fractional calculus
Economics as a science
HB71-74
spellingShingle partially restricted reduced form estimator
exact density
exact moments
mean squared prediction error
fractional calculus
Economics as a science
HB71-74
Hassan Arvin-Rad
Finite sample properties of the partially restricted reduced form estimator
description The paper considers the exact density of a linear function of the PRRF estimator under the same set of assumptions as in Nagar and Sahay (l978). We obtain the general expression for the exact moments of such a linear function, which can be used to obtain expressions for moments of arbitrary order. Using this result the explicit formulae for the first four integer moments are given. We will then extend the results to the case where the matrix of exogenous variables is only assumed to have full column rank, and the covariance matrix of the endogenous variables has to be only positive definite. The analytical tool used to work out these results is the technique of fractional calculus first applied to econometrics by Phillips (l984).
format article
author Hassan Arvin-Rad
author_facet Hassan Arvin-Rad
author_sort Hassan Arvin-Rad
title Finite sample properties of the partially restricted reduced form estimator
title_short Finite sample properties of the partially restricted reduced form estimator
title_full Finite sample properties of the partially restricted reduced form estimator
title_fullStr Finite sample properties of the partially restricted reduced form estimator
title_full_unstemmed Finite sample properties of the partially restricted reduced form estimator
title_sort finite sample properties of the partially restricted reduced form estimator
publisher Universidade de São Paulo
publishDate 1998
url https://doaj.org/article/f9f3ef245d21488bab3a5c18d0e624a8
work_keys_str_mv AT hassanarvinrad finitesamplepropertiesofthepartiallyrestrictedreducedformestimator
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