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Equality Restricted Random Variables: Densities and Sampling Algorithms

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Author Info
Kleibergen, F.

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Abstract

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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Publisher Info
Paper provided by Erasmus University of Rotterdam - Econometric Institute in its series Papers with number 9662/a.

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Length: 27 pages
Date of creation: 1996
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Handle: RePEc:fth:erroem:9662/a

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Related research
Keywords: SAMPLING MODELS COINTEGRATION SIMULATION

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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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  1. Chuanming Gao & Kajal Lahiri, 2000. "A Comparison of Some Recent Bayesian and Classical Procedures for Simultaneous Equation Models with Weak Instruments," Econometric Society World Congress 2000 Contributed Papers 0230, Econometric Society. [Downloadable!]
  2. Kajal Lahiri & Chuanming Gao, . "A Comparison of Some Recent Bayesian and Classical Procedures for Simultaneous Equation Models with Weak Instruments," Discussion Papers 01-15, State University of New York at Albany, Department of Economics. [Downloadable!]
  3. Chua, C.L. & Griffiths, W.E. & O'Donnell, C.J., 2001. "Bayesian Model Averaging in Consumer Demand Systems with Inequality Constraints," Department of Economics - Working Papers Series 806, The University of Melbourne. [Downloadable!]
  4. Kleibergen, Frank & Dijk, Herman K. van, 1996. "Bayesian simultaneous equations analysis using reduced rank structures," Econometric Institute Report 47, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
    Other versions:
  5. Kleibergen, Frank & Paap, Richard, 1996. "Priors, posterior odds and Lagrange multiplier statistics in Bayesian analyses of cointegration," Econometric Institute Report 37, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
    Other versions:
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