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A GOODNESS OF FIT TEST FOR ERGODIC MARKOV PROCESSES

Vance Martin, Yoshihiko Nishiyama and John Stachurski
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John Stachurski: Research School of Economics, Australian National University

No 787, KIER Working Papers from Kyoto University, Institute of Economic Research

Abstract: We introduce a goodness of fit test for ergodic Markov processes. Our test compares the data against the set of stationary densities implied by the class of models specified in the null hypothesis, and rejects if no model in the class yields a stationary density that matches with the data. No alternative needs to be specified in order to implement the test. Although our test compares densities it involves no smoothing parameters, and is powerful against 1√n local alternatives.

Keywords: Specification test; goodness of fit; Markov processes. (search for similar items in EconPapers)
Date: 2011-10
New Economics Papers: this item is included in nep-cis and nep-ecm
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http://www.kier.kyoto-u.ac.jp/DP/DP787.pdf (application/pdf)

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Working Paper: A Goodness of Fit Test for Ergodic Markov Processes (2011) Downloads
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