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math.ST2008
The "north pole problem" and random orthogonal matrices
Morris L. Eaton, Robb J. Muirhead
This paper is motivated by the following observation. Take a 3 x 3 random (Haar distributed) orthogonal matrix , and use it to "rotate" the north pole, say, on the unit sp…
math.ST2008★ 2 cited
A decomposition result for the Haar distribution on the orthogonal group
Morris L. Eaton, Robb J. Muirhead
Let H be a Haar distributed random matrix on the group of pxp real orthogonal matrices. Partition H into four blocks: (1) the (1,1) element, (2)the rest of the first row, (3) the r…
math.ST2007★ 3 cited
Evaluation of Formal posterior distributions via Markov chain arguments
Morris L. Eaton, James P. Hobert, Galin L. Jones +1
We consider evaluation of proper posterior distributions obtained from improper prior distributions. Our context is estimating a bounded function of a parameter when the loss i…