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Maximum likelihood estimation for ordered expectations of correlated binary variables

Wojciech Gamrot ()

Statistical Papers, 2013, vol. 54, issue 3, 727-739

Abstract: A multivariate binary distribution that incorporates the correlation between individual variables is considered. The availability of auxiliary information taking the form of simple ordering constraints on their expected values is assumed. The problem of constructing constraint-preserving estimates for expectations is formulated as conditional maximization of convex likelihood function for corresponding multinomial distribution with suitably chosen restrictions. Starting values for convex optimization algorithms are proposed. The proposed estimator is consistent under mild assumptions. Copyright The Author(s) 2013

Keywords: Binomial parameter; Inequality constraints; Maximum likelihood; 62F30 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s00362-012-0458-x

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