On a family of test statistics for discretely observed diffusion processes

A. De Gregorio and Stefano Iacus ()

Journal of Multivariate Analysis, 2013, vol. 122, issue C, 292-316

Abstract: We consider parametric hypotheses testing for multidimensional ergodic diffusion processes observed at discrete time. We propose a family of test statistics related to the so called ϕ-divergence measures. It is proved that the test statistics in this family are all asymptotically distribution free and converge to the chi squared distribution. In the case of contiguous alternatives, it is also possible to study in detail the power function of the tests.

Keywords: Discrete observations; Distribution free tests; Divergence measures; Generalized likelihood ratio tests; Parametric hypotheses testing; Quasi-likelihood functions; Stochastic differential equations (search for similar items in EconPapers)
Date: 2013
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Related works:
Working Paper: On a family of test statistics for discretely observed diffusion processes (2011)
Working Paper: On a family of test statistics for discretely observed diffusion processes (2011)
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DOI: 10.1016/j.jmva.2013.08.002

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