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A conversation with Jayaram Sethuraman. (English) Zbl 1327.01042
MSC:
01A70 Biographies, obituaries, personalia, bibliographies
62-03 History of statistics
Biographic References:
Sethuraman, Jayaram
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[1] Athreya, K. B., Doss, H. and Sethuraman, J. (1996). On the convergence of the Markov chain simulation method. Ann. Statist. 24 69-100. · Zbl 0860.60057
[2] Block, H., Borges, W. and Savits, T. (1985). Age-dependent minimal repair. J. Appl. Probab. 22 370-385. JSTOR: · Zbl 0564.60084
[3] Brown, M. and Proschan, F. (1983). Imperfect repair. J. Appl. Probab. 20 851-859. JSTOR: · Zbl 0526.60080
[4] Chaganty, N. R. and Sethuraman, J. (1993). Strong large deviation and local limit theorems. Ann. Probab. 21 1671-1690. · Zbl 0786.60026
[5] Dorado, C. A., Hollander, M. and Sethuraman, J. (1997). Nonparametric estimation for a general repair model. Ann. Statist. 25 1140-1160. · Zbl 0937.62103
[6] Doss, H. (1994). Bayesian nonparametric estimation for incomplete data via successive substitution sampling. Ann. Statist. 22 1763-1786. · Zbl 0824.62027
[7] El-Neweihi, E., Proschan, F. and Sethuraman, J. (1978). A simple model with applications in structural reliability, extinction of species, inventory depletion and urn sampling. Adv. in Appl. Probab. 19 232-254. JSTOR: · Zbl 0385.90048
[8] El-Neweihi, E., Proschan, F. and Sethuraman, J. (1986). Optimal allocation of components in parallel-series and series-parallel systems. J. Appl. Probab. 23 770-777. JSTOR: · Zbl 0612.60074
[9] El-Neweihi, E. and Sethuraman, J. (1991). A study of the role of a module in the failure of a system. Probab. Eng. Inform. Sci. 5 215-227. · Zbl 1134.90358
[10] Ferguson, T. S. (1973). A Bayesian analysis of some nonparametric problems. Ann. Statist. 1 209-230. · Zbl 0255.62037
[11] Ghosh, J. K. and Ramamoorthi, R. V. (2003). Bayesian Nonparametrics . Springer, New York. · Zbl 1029.62004
[12] Grenander, U. and Sethuraman, J. (1994). Mixed limit theorems for pattern analysis. J. Multivariate Anal. 51 414-431. · Zbl 0855.62010
[13] Hollander, M., Proschan, F. and Sethuraman, J. (1977). Functions decreasing in transposition and their applications in ranking problems. Ann. Statist. 5 722-733. · Zbl 0356.62043
[14] Hollander, M., Presnell, B. and Sethuraman, J. (1992). Nonparametric methods for imperfect repair models. Ann. Statist. 20 879-896. · Zbl 0756.62035
[15] Kurien, T. V. and Sethuraman, J. (1993a). Singularity in Gaussian random fields. J. Theor. Probab. 6 89-99. · Zbl 0764.60051
[16] Kurien, T. V. and Sethuraman, J. (1993b). A mixed limit theorem for stable random fields. J. Multivariate Anal. 47 152-162. · Zbl 0780.60022
[17] Lynch, J. D. and Sethuraman, J. (1987). Large deviations for processes with stationary independent increments. Ann. Probab. 15 610-627. · Zbl 0624.60045
[18] Nevius, S. E., Proschan, F. and Sethuraman, J. (1977). Schur functions in statistics. II. Stochastic majorization. Ann. Statist. 5 263-273. · Zbl 0383.62039
[19] Proschan, F. and Sethuraman, J. (1977). Schur functions in statistics I. The preservation theorem. Ann. Statist. 5 256-262. · Zbl 0361.62055
[20] Rubin, H. and Sethuraman, J. (1965). Bayes risk efficiency. Sankhyā Ser. A 27 347-356. · Zbl 0192.25608
[21] Savage, I. R. and Sethuraman, J. (1966). Stopping time of a rank-order sequential probability ratio test for Lehmann alternatives. Ann. Math. Statist. 37 1154-1160. · Zbl 0152.36503
[22] Savage, I. R. and Sethuraman, J. (1972). Asymptotic distribution of log-likelihood ratio based on ranks in the two-sample problem. Proc. Sixth Berkeley Symp. Math. Statist. Probab. 1 437-453. Univ. California Press, Berkeley. · Zbl 0246.62058
[23] Sethuraman, J. (1961a). Some limit theorems connected with fractile graphical analysis. Sankhyā Ser. A 23 79-90. · Zbl 0097.35001
[24] Sethuraman, J. (1961b). Some limit theorems for joint distributions. Sankhyā Ser. A 23 379-385. · Zbl 0101.13002
[25] Sethuraman, J. (1963). Some limit theorems concerned with fixed interval analysis. Sankhyā Ser. A 25 395-398. · Zbl 0213.21004
[26] Sethuraman, J. (1994). A constructive definition of the Dirichlet process. Statist. Sinica 4 639-650. · Zbl 0823.62007
[27] Sethuraman, J. and Hollander, M. (2008). Nonparametric Bayes estimation in repair models. J. Statist. Plann. Inference . · Zbl 1284.62627
[28] Sethuraman, J. and Singpurwalla, N. D. (1981). Large sample estimates and uniform confidence bands for the failure rate functions based on a naive estimator. Ann. Statist. 9 628-632. · Zbl 0484.62058
[29] Sethuraman, J. and Singpurwalla, J. (1982). Testing of hypothesis for distributions in accelerated life tests. J. Amer. Statist. Assoc. 77 204-208. JSTOR:
[30] Sethuraman, J. and Sukhatme, B. V. (1959). Joint asymptotic distributions of U -statistics and order statistics. Sankhyā Ser. A 21 289-298. · Zbl 0117.14604
[31] Sethuraman, J. and Tiwari, R. C. (1982). Convergence of Dirichlet measures and the interpretation of their parameters. In Statistical Decision Theory and Related Topics III ( 2 ) (S. S. Gupta and J. O. Berger, eds.) 305-315. Academic Press, New York. · Zbl 0574.62006
[32] Whitaker, L. and Samaniego, F. (1989). Estimating the reliability of systems subject to imperfect repair. J. Amer. Statist. Assoc. 84 301-309. JSTOR: · Zbl 0698.62099
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