Optimality: The Third Erich L. Lehmann Symposium
Editor: Javier Rojo
Lecture Notes--Monograph Series, Volume 57
Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2009.
The venue for the 3rd Lehmann Symposium was the School of Engineering at Rice University from May 16th through May 19th, 2007. The collection of refereed papers included in this volume represents a selection of the papers submitted for publication. Most of the work was presented at the Symposium but there are some contributions that were submitted by participants who did not present their work during the conference.
All activities of the Symposium, except for a banquet held at the student center, were held in Duncan Hall – home of the Statistics Department. Duncan Hall’s floor plan, with its open atrium, its main auditorium, and several conveniently located meeting rooms, allows for, and facilitates, interaction among the participants.
As it has been the tradition of the Symposia, the event opens with a session for young investigators. The purpose of initiating the Symposia in this way is to free the young investigators from this activity, and introduce them to other more senior investigators with the goal that the young investigators may more easily mingle with the group. For the third Lehmann Symposium the four young investigators were Yolanda Muñoz Maldonado, Brisa Sánchez, Farinaz Koushanfar, and José Enrique Figueroa-López. At the end, due to unforeseen circumstances, José Enrique was moved to the probability session. All four young investigators provided motivating talks and three of them submitted their work for this volume. All four have a bright future ahead of them.
It is also the tradition of the Symposia that the young investigators session is immediately followed by the first Plenary session and this spot has always been filled by Erich L. Lehmann. Erich provided a great lecture on the history of optimality. The rest of the program, I hope that the reader will agree with me, was excellent.
The papers presented here cover several areas: some of the works consider classical aspects of the discipline and others deal with contemporary aspects of the theory and applications of statistics. Thus, the reader will find a fascinating section dedicated to the subject of optimality. Lehmann, Bahadur and Bickel, and Huber provide excellent discussions on various aspects of optimality. Semi-parametric and non-parametric inference, bootstrap tests of hypotheses, functional data analysis, asymptotic theory, ad-hoc networks, and finance are some of the areas represented in the volume. Intentionally, I left probability to the end. It has been a goal of the Symposium to have a probability component. It is felt that the perceived distancing of probability and statistics, even at the level of Ph.D. programs, cannot be healthy. Future Lehmann Symposia will continue to encourage a closer relationship between the two subjects.
The Symposium could not occur without the financial support of several generous contributors. Several institutions have provided support for the series of Symposia. I want, however, to acknowledge the explicit support and work of the individuals within those institutions responsible for securing the funding. Demissie Alemayehu of Pfizer has been a constant and faithful supporter of the Symposia and has been responsible for Pfizer’s generous contributions to the 2nd and 3rd Lehmann Symposia. I also want to acknowledge the support of the National Science Foundation. Shulamith Gross, Grace Yang, and Gábor Székely have been instrumental in supporting the 2nd and 3rd Lehmann Symposia. Gary Rosner, from the U.T. MD Anderson Cancer Center, has worked to obtain MD Anderson Cancer support for the last two Symposia. Kathleen O’Hara at the Mathematical Sciences Research Institute (MSRI) and James O. Berger at the Statistics and Applied Mathematics Sciences Institute (SAMSI) provided financial support for the 3rd Symposium. MSRI supported a proposal to hold the event at their facilities but plans changed. You can read the details in the first article of the volume. The efforts of Robert Hardy of the University of Texas School of Public Health, and Rudy Guerra of the Gulf Coast Consortia, are also gratefully acknowledged. Victor Pérez-Abreu, of the Centro de Investigación en Matemáticas (CIMAT) provided support for the 1st and 2nd Symposia.
I also want to give special recognition to my student Tuan S. Nguyen for his indefatigable efforts and continued help in the preparation of this volume.
Last, but not least, I want to acknowledge the support of Rice University through the School of Engineering and its Department of Statistics for allowing me to engage in these activities.
Copyright © 2009, Institute of Mathematical Statistics.
Erich L. Lehmann, The Lehmann Symposia, and November 20th 1917
Javier Rojo; 1-7
An Optimality Property of Bayes’ Test Statistics
Raghu Raj Bahadur, and Peter J. Bickel; 18-30
On the Non-Optimality of Optimal Procedures
Peter J. Huber; 31-46
Proportional Hazards Regression with Unknown Link Function
Wei Wang, Jane-Ling Wang, and Qihua Wang; 47-66
Semiparametric Models and Likelihood - The Power of Ranks
Kjell Doksum, and Akichika Ozeki; 67-92
On Bootstrap Tests of Hypotheses
Wei-Yin Loh, and Wei Zheng; 93-116
Nonparametric Estimation for Lévy Models Based on Discrete-Sampling
José E. Figueroa-López; 117-146
On the Estimation of Symmetric Distributions under Peakedness Order Constraints
Javier Rojo, and José Batún-Cutz; 147-172
A Functional Generalized Linear Model with Curve Selection in Cervical Pre-cancer Diagnosis Using Fluorescence Spectroscopy
Hongxiao Zhu, and Dennis D. Cox; 173-189
Nonparametric Estimation of Hemodynamic Response Function: A Frequency Domain Approach
Ping Bai, Young Truong, and Xuemei Huang; 190-215
Mixed Models, Posterior Means and Penalized Least-Squares
Yolanda Muñoz Maldonado; 216-236
From Charged Polymers to Random Walk in Random Scenery
Xia Chen, and Davar Khoshnevisan; 237-251
Recovery of Distributions via Moments
Robert M. Mnatsakanov, and Artak S. Hakobyan; 252-265
Asymptotic Efficiency of Simple Decisions for the Compound Decision Problem
Eitan Greenshtein, and Ya’acov Ritov; 266-275
Large Sample Statistical Inference for Skew-Symmetric Families on the Real Line
Rolando Cavazos–Cadena, and Graciela González–Farías; 276-303
Parametric Mixture Models for Estimating the Proportion of True Null Hypotheses and Adaptive Control of FDR
Ajit C. Tamhane, and Jiaxiao Shi; 304-325
Bayesian Decision Theory for Multiple Comparisons
Charles Lewis, and Dorothy T. Thayer; 326-332
The Challenges of Model Objective Selection and Estimation for Ad-hoc Network Data Sets
Farinaz Koushanfar, and Davood Shamsi; 333-347