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Bartlett identities tests

Andrew Chesher, Geert Dhaene, Christian Gourieroux and Olivier Scaillet

No 1999039, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: In this note we propose a general testing procedure for parametric models based on Bartlett Identities. A well-known example is the Information Matrix test, which is based on the Bartlett Identity of order 1. The Identities are shown to induce a sequenceof testable restrictions on the data generating process. When all the restrictions are considered jointly, they are often complete, in the sense that they are satisfied if and only if the model is correctly specified. We show that this is the case for normal, exponential and Poisson models. A test of the joint validity of an arbitrarily chosen subset of restrictions is proposed, and its first order asymptotic properties are presented. An interpretation of the test as a score test for neglected parameter heterogeneity is also given.

Keywords: Bartlett Identities; information matrix test; specification test (search for similar items in EconPapers)
JEL-codes: C12 C52 (search for similar items in EconPapers)
Date: 1999-06-01
References: Add references at CitEc
Citations: View citations in EconPapers (4)

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Working Paper: Bartlett Identities Tests (1999) Downloads
Working Paper: Bartlett Identities Tests (1999) Downloads
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