Foundations Of Statistical Inference: Proceedings Of The Shoresh Conference 2000 (contributions To Statistics)

this Volume Is A Compressed Survey Containing Recent Results On Statistics Of Stochastic Processes And On Identification With Incomplete Observations. It Comprises A Collection Of Papers Presented At The Shoresh Conference 2000 On The Foundation Of Statistical Inference. The Papers Cover The Following Areas With High Research Activity: - Identification With Incomplete Observations, Data Mining, - Bayesian Methods And Modelling, - Testing, Goodness Of Fit And Randomness, - Statistics Of Stationary Processes. Front Matter....Pages I-XI Front Matter....Pages 1-1 Bounding Entries in Multi-way Contingency Tables Given a Set of Marginal Totals....Pages 3-16 Identification and Estimation with Incomplete Data....Pages 17-29 Computational Information Retrieval....Pages 31-42 Studying Treatment Response to Inform Treatment Choice....Pages 43-55 Front Matter....Pages 57-57 Some Interactive Decision Problems Emerging in Statistical Games....Pages 59-68 Probabilistic Modelling: An Historical and Philosophical Digression....Pages 69-76 A Bayesian View on Sampling the 2 X 2 Table....Pages 77-87 Bayesian Designs for Binomial Experiments....Pages 89-97 On the Second Order Minimax Improvement of the Sample Mean in the Estimation of a Mean Value of the Exponential Dispersion Family....Pages 99-105 Bayesian Analysis of Cell Migration — Linking Experimental Data and Theoretical Models....Pages 107-114 Front Matter....Pages 115-115 Sequential Bayes Detection of Trend Changes....Pages 117-130 Box—Cox Transformation for Semiparametric Comparison of Two Samples....Pages 131-139 Minimax Nonparametric Goodness-of-Fit Testing....Pages 141-152 Testing Randomness on the Basis of the Number of Different Patterns....Pages 153-165 The π* Index as a New Alternative for Assessing Goodness of Fit of Logistic Regression....Pages 167-177 Front Matter....Pages 179-179 Consistent Estimation of Early and Frequent Change Points....Pages 181-193 Asymptotic Behaviour of Estimators of the Parameters of Nearly Unstable INAR(1) Models....Pages 195-206 Guessing the Output of a Stationary Binary Time Series....Pages 207-215 Asymptotic Expansions for Long-Memory Stationary Gaussian Processes....Pages 217-227 Back Matter....Pages 229-230 This volume is a collection of papers presented at a conference held in Shoresh Holiday Resort near Jerusalem, Israel, in December 2000 organized by the Israeli Ministry of Science, Culture and Sport. The theme of the conference was "Foundation of Statistical Inference: Applications in the Medical and Social Sciences and in Industry and the Interface of Computer Sciences". The following is a quotation from the Program and Abstract booklet of the conference. "Over the past several decades, the field of statistics has seen tremendous growth and development in theory and methodology. At the same time, the advent of computers has facilitated the use of modern statistics in all branches of science, making statistics even more interdisciplinary than in the past; statistics, thus, has become strongly rooted in all empirical research in the medical, social, and engineering sciences. The abundance of computer programs and the variety of methods available to users brought to light the critical issues of choosing models and, given a data set, the methods most suitable for its analysis. Mathematical statisticians have devoted a great deal of effort to studying the appropriateness of models for various types of data, and defining the conditions under which a particular method work. " In 1985 an international conference with a similar title* was held in Is­ rael. It provided a platform for a formal debate between the two main schools of thought in Statistics, the Bayesian, and the Frequentists.