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Semiparametric distribution forecasting
Authors:Benjamin Kedem  Richard E Gagnon
Institution:Department of Mathematics, University of Maryland, College Park, MD 20742, USA
Abstract:Given m time series regression models, linear or not, with additive noise components, it is shown how to estimate semiparametrically the predictive probability distribution of one of the time series conditional on past random covariate data. This is done by assuming that the distributions of the residual components associated with the regression models are tilted versions of a reference distribution.
Keywords:Reference distribution  Exponential tilt  Empirical likelihood  Predictive distribution  Residual  Regression models
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