Working Paper

Bayesian inference for linear models subject to linear inequality constraints


Abstract: The normal linear model, with sign or other linear inequality constraints on its coefficients, arises very commonly in many scientific applications. Given inequality constraints Bayesian inference is much simpler than classical inference, but standard Bayesian computational methods become impractical when the posterior probability of the inequality constraints (under a diffuse prior) is small. This paper shows how the Gibbs sampling algorithm can provide an alternative, attractive approach to inference subject to linear inequality constraints in this situation, and how the GHK probability simulator may be used to assess the posterior probability of the constraints.

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Bibliographic Information

Provider: Federal Reserve Bank of Minneapolis

Part of Series: Working Papers

Publication Date: 1995

Number: 552