Advances in Statistics: Proceedings of the Conference in by Zehua Chen, Jin-ting Zhang, Feifang Hu

By Zehua Chen, Jin-ting Zhang, Feifang Hu

This e-book, that's break up into components, is ready Prof. Zhidong Bai's existence and his contributions to statistical data and likelihood. the 1st half comprises an interview with Zhidong Bai performed through Dr Atanu Biswas from the Indian Statistical Institute, and 7 brief articles detailing Bai's contributions. the second one half is a set of his chosen seminal papers within the parts of random matrix concept, Edgeworth enlargement, M-estimation, version choice, adaptive layout in medical trials, utilized chance in algorithms, small region estimation, and time sequence, between others. This e-book offers a simple entry to Zhidong Bai's vital works, and serves as an invaluable reference for researchers who're operating within the proper parts.

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Extra resources for Advances in Statistics: Proceedings of the Conference in Honor of Professor Zhidong Bai on His 65th Birthday, National University of Singapore, 20 July 2008

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N. The parameters Q(i)are different for different patient. To discuss the properties of randomized urn model, one needs the following assumption: IlO(i) - 0112 i=l < 03, 4 for some fixed parameter 8. Here 1 ( . ( ( 2is the La-norm of a vector. After Bai and Hu (1999),this heterogeneity model is used in other response-adaptive designs (Zhang, Chan, Cheung and Hu, 2007). Based on the results of Bai and Hu (1999), Hu and Rosenberger (2000) can then apply weighted likelihood techniques for statistical inference.

14) Let vnj and yjv respectively denotte the conditional charaoteristic function and v-th cumulant of Uj given Wj. Define Avn = n(a-8)lag--p n n ~ j v , 9-1 51 260 GWTTf JOOESa BABD AND Z. D. BAhf and where 8’ denotoa the ~ u m over all nomegatrive integers 0 0 kf=8and t =l z ih =v. i-1 Ueing the arguments of Hall (1982, p a p 42), wo get that for It1 fi Ivflr(W,) I < exp (-6q24). Ll < AB,,, ... /@ I m-l-l- 1 1 m-9, ... 96) I Q 01I z i i I -t4% I 17I8+n-1/a1ogsn], ... 27) 1 hold uniformly for 5 6 C,.

December 1991 ; revised January 1993. A M 8 (lQ80)Bubjeat d&eaifioatwns. 60F06, 62F20. lreywords und phraem. Aaymptotic expansions, Cramer’e condition, Edgeworth e x p e o n , 8tudent’s C-statietio. *Research supported in part by NSA Grant NDA-904-90-H-1001and by NSF Grants DMS-9007717 and DMS-9206068. S. 89-E-0189. 46 24s EDOBWOR'l3 BIW&XEtXW! situations, like ratio statistic and in survivsl analysis, only few of the components of Zlsatisfy Cramer's conditiQn and the others do not. Babu and singh (1989) considered the case of bivariab random variables witb one component continuous and the other lattice.

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