By Noel Cressie (auth.), H. N. Nagaraja, Pranab Kumar Sen, Donald F. Morrison (eds.)
Professor Herbert A. David of Iowa nation college could be turning 70 on December 19, 1995. he's attaining this milestone in existence with a truly special profession as a statistician, educator and administrator. we're bringing out this quantity in his honor to rejoice this celebration and to acknowledge his contributions to reserve statistics, biostatistics and layout of experiments, between others; and to the statistical occupation quite often. With nice admiration, recognize and enjoyment we commit this festschrift to Professor Herbert A. David, often referred to as Herb and H.A. between his pals, colleagues and scholars. once we all started this undertaking in Autumn 1993 and contacted strength members from the above workforce, the enthu siasm used to be out of the ordinary. The fruits of this collective exercise is that this quantity that's being devoted to him to have fun his upcoming birthday. numerous participants have contributed in quite a few capacities to the good fortune ful of entirety of this venture. We in actual fact thank the authors of the papers showing right here. with out their devoted paintings, we might simply have this pref ace! a lot of them have served as (anonymous) referees to boot. additionally, we're grateful to the subsequent colleagues for his or her time and recommendation: John Bunge (Cornell), Z. Govindarajulu (Kentucky), John Klein (Medical U.
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Algorithm AS 251, Applied Statistics, 38, 564-579. Correction Note, Applied Statistics, 42, 709. Dunnett, C. ,and Sobel, M. {1954}. A bivariate generalization of Student's t-distribution, with tables for some special cases. Biometrika, 41, 153-169. Dunnett, C. , and Sobel, M. {1955}. Approximations to the probability integral and certain percentage points of a multivariate analogue of Student's t -distribution. Biometrika, 42, 258- 260. Dunnett, C. , and Tamhane, A. C. {1991}. Step-down multiple tests for comparing treatments with a control in unbalanced one-way layouts.
A bivariate generalization of Student's t-distribution, with tables for some special cases. Biometrika, 41, 153-169. Dunnett, C. , and Sobel, M. {1955}. Approximations to the probability integral and certain percentage points of a multivariate analogue of Student's t -distribution. Biometrika, 42, 258- 260. Dunnett, C. , and Tamhane, A. C. {1991}. Step-down multiple tests for comparing treatments with a control in unbalanced one-way layouts. Statistics in Medicine, 10, 939-947. Dunnett, C. , and Tamhane, A.
1) To prove (i), note that F is continuous and - d Xn=XI which together imply F(Xn) is uniformly distributed over (0,1) . 1). On the Proportion above Sample Mean for Symmetric Stable Laws For (ii), observe that n -1-1. X n Q. 2) implies that, for any K > 0, - - P{Xn > K} = P{Xn < -K} -+ 1 2' This means that F{X n) is asymptotically uniformly distributed over (O, 1). 1). For (iii), we begin with F{X) - F{O) = -X{F'{O) + op{l». 4) which proves (iii) . Finally, as remarked earlier, (iv) follows from the discussion in the introduction.