Collected Papers II: Statistical Inference and Probability (1964 - 1984)

ISBN-13: 9781493934997 / Angielski / Miękka / 2015 / 590 str.

Jack Carl Kiefer; Lawrence Brown; Ingram Olkin

Opis

Three lectures were presented there at a Memorial Session - by Jerry Sacks dealing with Jack's personal life, by Larry Brown dealing with Jack's contributions in statistics and probability, and by Henry Wynn dealing with Jack's contributions to the design of experiments.

Spis treści

[38] Local and Asymptotic Minimax Properties of Multivariate Tests.- [39] Minimax Character of the R2-Test in the Simplest Case.- [42] Admissible Bayes Character of T2-, R2-, and Other Fully Invariant Tests for Classical Multivariate Normal Problems.- [42a] Correction to “Admissible Bayes Character of T2-, R2-, and Other Fully Invariant Tests for Classical Multivariate Normal Problems”.- [45] Multivariate Optimality Results.- [47] On Bahadur’s Representation of Sample Quantiles.- [48] Statistical Inference.- [49] Statistical Inference.- [50] On the Deviations in the Skorokhod-Strassen Approximation Scheme.- [51] Old and New Methods for Studying Order Statistics and Sample Quantiles.- [52] Deviations Between the Sample Quantile Process and the Sample D.F.- [54] Iterated Logarithm Analogues for Sample Quantiles When Pn ?0.- [56] Skorohod Embedding of Multivariate RV’s and the Sample DF.- [62] Review of the paper “Bayesian Analysis of Generic Relations in Agaricales”.- [65] Asymptotically Minimax Estimation of Concave and Convex Distribution Functions.- [66] Large Sample Comparison of Tests and Empirical Bayes Procedures.- [67] Admissibility of Conditional Confidence Procedures.- [68] Asymptotically Minimax Estimation of Concave and Convex Distribution Functions. II.- [69] Conditional Confidence Statements and Confidence Estimators.- [70] The Ideas of Conditional Confidence in the Simplest Setting.- [71] Conditional Confidence and Estimated Confidence in Multidecision Problems (with Applications to Selection and Ranking).- [73] The Foundations of Statistics—Are There Any?.- [81] Sequential Statistical Methods.- [82] Comments on Taxonomy, Independence, and Mathematical Models (with Reference to a Methodology of Machol and Singer).- [91] Optimum Rates for Non-Parametric Density and Regression Estimates, Under Order Restrictions.- [93] Eight Lectures on Mathematical Statistics.- [94] Conditional Inference.- [99] Book Review of The Advanced Theory of Statistics, Volume 2, “Inference and Relationship”.- [100] Book Review of The Savory Wild Mushroom.- [101] Book Review of A Field Guide to Western Mushrooms.- [107] Note on Asymptotic Efficiency of M. L. Estimators in Nonparametric Problems.- [108] Math 371 Final Exam.- Commentary on Papers [36], [38], [39].- Commentary on Paper [45].- Commentary on Paper [4].

Blurb

​From the Preface: "Jack Kiefer's sudden and unexpected death in August, 1981, stunned his family, friends, and colleagues. Memorial services in Cincinnati, Ohio, Berkeley, California, and Ithaca, New York, shortly after his death, brought forth tributes from so many who shared in his life. But it was only with the passing of time that those who were close to him or to his work were able to begin assessing Jack's impact as a person and intellect. About one year after his death, an expression of what Jack meant to all of us took place at the 1982 annual meeting of the Institute of Mathematical Statistics and the American Statistical Association. Jack had been intimately involved in the affairs of the IMS as a Fellow since 1957, as a member of the Council, as President in 1970, as Wald lecturer in 1962, and as a frequent author in its journals. It was doubly fitting that the site of this meeting was Cincinnati, the place of his birth and residence of his mother, other family, and friends. Three lectures were presented there at a Memorial Session - by Jerry Sacks dealing with Jack's personal life, by Larry Brown dealing with Jack's contributions in statistics and probability, and by Henry Wynn dealing with Jack's contributions to the design of experiments. These three papers, together with Jack's bibliography, were published in the Annals of Statistics and are included as an introduction to these volumes."