Many common statistical models can be specified as linear models with restrictions imposed on the parameters. A large amount of these models impose restrictions which do not allow for the analytical construction of the probability density function (pdf) of the parameters given the restrictions. This is often implicitly assumed which leads to an inconsistency as the pdf of the parameters of the linear specification under the imposed restrictions is then not tested within the assumed pdf of the unrestricted linear specification. The paper shows how these restirctions need to be incorporated by constructing the pdfs incorporating the restrictions and algorithms to sample from these pdfs.
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Paper provided by Erasmus University of Rotterdam - Econometric Institute in its series Papers with number
9662/a.
Find related papers by JEL classification: C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
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