Contributions to Probability and Statistics: Applications and Challenges: Proceedings of the International Statistics Workshop

by Brown, Peter; Liu, Shuangzhe; Sharma, Dharmendra

• ISBN13: 9789812703910
• ISBN10: 9812703918
• eBook ISBN(s): 9789812772466
• Format: Hardcover
• Copyright: 2006-10-31
• Publisher: World Scientific Pub Co Inc

Summary

Contributed by world renowned researchers, the book features a wide range of important topics in modern statistical theory and methodology, economics and finance, ecology, education, health and sports studies, and computer and IT-data mining. It is accessible to students and of interest to experts. Many of the contributions are concerned with theoretical innovations, but all have applications in view, and some contain illustrations of the applied methods or photos of historic mathematicians. A few of the notable contributors are Ejaz Ahmed (Windsor), Joe Gani (ANU), Roger Gay (Monash), Atsuhiro Hayashi (NCUEE, Tokyo), Markus Hegland (ANU), Chris Heyde (ANU/Columbia), Jeff Hunter (Massey), Phil Lewis (Canberra), Heinz Neudecker (Amsterdam), Graham Pollard (Canberra), Simo Puntanen (Tampere), George Styan (McGill), and Goetz Trenkler (Dortmund).

Table of Contents

Preface	p. v
Mathematics and Statistics in Society	p. 1
Estimating Internet Access for Welfare Recipients in Australia	p. 3
Two Classification Methods of Individuals for Educational Data and an Application	p. 11
Measurement of Skill and Skill Change	p. 17
Some Comments about Issai Schur (1875-1941) and the Early History of Schur Complements	p. 28
Applications of Statistics	p. 67
Estimating the Number of SARS Cases in Mainland China in 2002-3	p. 69
Using Statistics to Determine the Effectiveness of Prescribed Burning	p. 73
A Fair Tennis Scoring System for Doubles in the Presence of Sun and Wind Effects - An Application of Probability	p. 89
Theoretical Issues in Probability and Statistics	p. 97
Perturbed Markov Chains	p. 99
Matrix Tricks for Linear Statistical Models: A Short Review of our Personal Top Fourteen	p. 113
On Influence Diagnostics in Multivariate Regression Models under Elliptical Distributions	p. 129
A Necessary Condition for Admissibility of Nonnegative Quadratic Estimators of Variance Components when the Moments are not Necessarily as under Normality	p. 142
Small-Sample Performance of Robust Methods in Logistic Regression	p. 152
On the Asymptotic Distribution of the 'Natural' Estimator of Cronbach's Alpha with Standardised Variates under Non-normality, Ellipticity and Normality	p. 167
On the Approximate Variance of a Nonlinear Function of Random Variables	p. 172
On Oblique and Orthogonal Projectors	p. 178
Fiducial Inference of Means and Variances from Normal Populations under Order Restrictions	p. 192
Probabilistic Models in Economics and Finance	p. 209
When Large Claims are Extremes	p. 211
Shrinkage Estimation of Gini Index	p. 234
On the Problem of Discriminating between the Tails of Distributions	p. 246
Numerical Methods	p. 259
An Approximate Maximum a Posteriori Method with Gaussian Process Priors	p. 261
Data Extraction for Improved Prediction Outcomes in Organ Transplantation - A Hybrid Approach	p. 276
Mining Multiple Models	p. 289
Abstracts without Papers	p. 297
Ranked Set Sampling: A Simple Idea of Great Use	p. 299
Properties of Nearest-neighbour Classifiers	p. 300
Large Covariance Matrices: Estimation and Inference in High Dimensions	p. 301
Bootstrapping in Clustered Populations	p. 302
On the Linear Aggregation Problem in the General Gauss-Markov Model	p. 303
Author Index	p. 305
Subject Index	p. 307
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