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This paper derives a class of first order probability matching priors and a complete catalog of the reference priors for the general multivariate linear calibration problem. In an important special case, a complete characterization of first order probability matching priors is given, and a...
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Non-informative priors play crucial role in objective Bayesian analysis. Most popular ways of construction of non-informative … construction of non-informative priors is suggested based on the concept of Hellinger information related to Hellinger distance … in non-regular situations, when Fisher information does not exist. Non-informative priors based on Hellinger information …
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We study the problems of hypothesis testing and point estimation for the correlation coefficient between the disturbances in the system of two seemingly unrelated regression equations. An objective Bayesian solution to each problem is proposed based on combined use of the invariant loss function...
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