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A flexible approach to inference in semiparametric regression models with correlated errors using Gaussian processes

Heping He and Thomas A. Severini

Computational Statistics & Data Analysis, 2016, vol. 103, issue C, 316-329

Abstract: Consider a semiparametric regression model in which the mean function depends on a finite-dimensional regression parameter as the parameter of interest and an unknown function as a nuisance parameter. A method of inference in such models is proposed, using a type of integrated likelihood in which the unknown function is eliminated by averaging with respect to a given distribution, which we take to be a Gaussian process with a covariance function chosen to reflect the assumptions about the function. This approach is easily implemented and can be applied to a wide range of models using the same basic methodology. The consistency and asymptotic normality of the estimator of the parameter of interest are established under mild conditions. The proposed method is illustrated on several examples.

Keywords: Semiparametric model; Gaussian process regression; Generalized least squares; Restricted maximum likelihood (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:103:y:2016:i:c:p:316-329

DOI: 10.1016/j.csda.2016.05.010

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