Contributions to probability and statistics : applications and challenges : proceedings of the International Statistics Workshop, University of Canberra, 4-5 April 2005 / Peter Brown, Shuangzhe Liu, Dharmendra Sharma.

Includes bibliographical references and indexes.

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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).

Preface -- pt. A. Mathematics and statistics in society. Estimating internet access for welfare recipients in Australia / A. Daly & R. Lloyd. Two classification methods of individuals for educational data and an application / A. Hayashi. Measurement of skill and skill change / R. Kelly & P.E.T. Lewis. Some comments about Issai Schur (1875-1941) and the early history of Schur complements / S. Puntanen & G.P.H. Styan -- pt. B. Applications of statistics. Estimating the number of SARS cases in mainland China in 2002-3 / J. Gani. Using statistics to determine the effectiveness of prescribed burning / K.J. King & J. Chapman. A fair tennis scoring system for doubles in the presence of sun and wind effects -- an application of probability / G. Pollard -- Theoretical issues in probability and statistics. Perturbed Markov chains / J.J. Hunter. Matrix tricks for linear statistical models: a short review of our personal top fourteen / J. Isotalo, S. Puntanen & G.P.H. Styan. On influence diagnostics in multivariate regression models under elliptical distributions / S. Liu. A necessary condition for admissibility of nonnegative quadratic estimators of variance components when the moments are not necessarily as under normality / C.-Y. Lu, Y. Gao & B. Zhang. Small-sample performance of robust methods in logistic regression / S. Nargis & A. Richardson. On the asymptotic distribution of the 'natural' estimator of Cronbach's alpha with standardised variates under non-normality, ellipticity and normality / H. Neudecker. On the approximate variance of a nonlinear function of random variables / H. Neudecker & G. Trenkler. On oblique and orthogonal projectors / G. Trenkler. Fiducial inference of means and variances from normal populations under order restrictions / B.X. Zhang, X.Z. Xu & X. Li -- pt. Probabilistic models in economics and finance. When large claims are extremes / R. Gay. Shrinkage estimation of Gini index / R. Ghori, S.E. Ahmed & A.A. Hussein. On the problem of discriminating between the tails of distributions / C.C. Heyde & K. Au -- pt. E. Numerical methods. An approximate maximum a Posteriori method with Gaussian process priors / M. Hegland. Data extraction for improved prediction outcomes in organ transplantation -- a hybrid approach / F. Shadabi et al. Mining multiple models / G.J. Williams -- pt. F. Abstracts with papers. Ranked set sampling: a simple idea of great use / Z. Chen. Properties of nearest-neighbour classifiers / P. Hall. Large covariance matrices: estimation and inference in high dimensions / I.M. Johnstone. Bootstrapping in clustered populations / A.H. Welsh. On the linear aggregation problem in the general Gauss-Markov model / H.J. Werner.

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