New PDF release: A festschrift for Herman Rubin

By Dasgupta A. (ed.)

ISBN-10: 0940600617

ISBN-13: 9780940600614

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223– 243. Volume 36 in the IMS Lecture Note Series, Beachwood, Ohio. , Takeda, M. (1994). Dirichlet Forms and Symmetric Markov Processes. New York: de Gruyter. , Keane, M. and Roynette, B. (1977). March aleatoires sur les Groupes de Lie. Lecture Notes in Math 624, New York: Springer. MR517359 [13] Hobert, J. and Robert, C. (1999). Eaton’s Markov chain, its conjugate partner, and P -admissibility. Ann. Statist. 27, 361–373. MR1701115 [14] James, W. and Stein, C. (1961). Estimation with quadratic loss.

H. (1951). On the distribution of values of sums of random variables. Mem. Amer. Math. Soc. 6, 1–12. MR40610 [7] Diaconis, P. and Strook, D. (1991). Geometric bounds for eigenvalues of Markov chains. Am. Appl. Probab. 1, 36–61. MR1097463 [8] Eaton, M. L. (1982). A method for evaluating improper prior distributions. In Statistics Decision Theory and Related Topics III (S. S. Gupta and J. O. ) 1, 329–352. New York:Academic Press. 20 M. L. Eaton [9] Eaton, M. L. (1992). A statistical diptych: Admissible inferences- Recurrence of symmetric Markov chains.

The first claim is that each Ci is locally-λrecurrent. To see this, let N be the λ-null set where S(TB0 < +∞|w) < 1. 1 after time 0 when W0 = w. 1 after time 0 when W0 = w. Therefore the set Ci = B0 ∪ Bi is locally-λ-recurrent. 2, W is locally-λ-recurrent. The application of the above results to the strong-admissibility problem is straightforward. 1) is σ-finite. 22) that is ν-symmetric. Therefore the above theory applies to the Markov chain W = (W0 , W1 , W2 , . ) on Θ∞ defined by R(dθ|η). 1” stated in the introductory section of this paper.

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A festschrift for Herman Rubin by Dasgupta A. (ed.)

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