Closed-Form Likelihood Expansions for Multivariate Diffusions

Yacine Ait-Sahalia

No 8956, NBER Working Papers from National Bureau of Economic Research, Inc

Abstract: This paper provides closed-form expansions for the transition density and likelihood function of arbitrary multivariate diffusions. The expansions are based on a Hermite series, whose coefficients are calculated explicitly by exploiting the special structure afforded by the diffusion hypothesis. Because the transition function for most diffusion models is not known explicitly, the expansions of this paper can help make maximum-likelihood a practical estimation method for discretely sampled multivariate diffusions. Examples of interest in financial econometrics are included.

JEL-codes: C32 G12 (search for similar items in EconPapers)
Date: 2002-05
New Economics Papers: this item is included in nep-ecm and nep-ets
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Published as Ait-Sahalia, Yacine. "Closed-Form Likelihood Expansions for Multivariate Diffusions," Annals of Statistics, 2008, 36, 906-937. (1,Jan), 223-262.

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