Marcello D'Orazio, Marco Di Zio, Mauro Scanu

Statistical Matching: Theory and Practice

ISBN: 0-470-02353-8
Hardcover
272 pages
May 2006

Description

Given the increasing amount of data arising in modern society, there is a growing interest in statistical matching methods. This is driven by the need to combine data from different sources in order to gain more information about the source. There is a real need for a good up-to-date book on statistical matching methods, that also provides guidance to the practitioner on how to apply the methods to their own problems. This book presents an overview of the best available methods, in a consistent framework, and provides a critical assessment of each. It includes a large number of examples and applications, that enable the reader to apply the methods in their own work.

Table of Contents

Preface.
1 The Statistical Matching Problem.
2 The Conditional Independence Assumption.
3 Auxiliary Information.
4 Uncertainty in Statistical Matching.
5 Statistical Matching and Finite Populations.
6 Some Preliminary Issues for Statistical Matching.
7 Applications.
A Statistical Methods for Partially Observed Data.
B Loglinear Models.
C Distance Functions.
D Finite Population Sampling.
E R code.
Bibliography.


David C. Hoaglin, Frederick Mosteller, John W. Tukey (Eds)

Exploring Data Tables, Trends, and Shapes

ISBN: 0-470-04005-X
Paperback
560 pages
March 2006

Description

Presents major advances in exploratory data analysis and robust regression methods not generally available, and explains the techniques, relating them to classical methods. Covers the role of exploratory and robust techniques in the overall data-analytic enterprise, and new methods such as fitting by organized comparisons using the square combining table, resistant nonadditive fits for two-way tables, identifying extreme cells in a sizable contingency table with probabilistic and exploratory approaches. Features a chapter on using robust regression in less technical language than available elsewhere. Offers conceptual support for each technique.

Table of Contents

Partial table of contents:
Theories of Data Analysis: From Magical Thinking Through Classical Statistics (P. Diaconis).
Fitting by Organized Comparisons: The Square Combining Table (K. Godfrey).
Resistant Nonadditive Fits for Two-Way Tables (J. Emerson & G. Wong).
Three-Way Analysis (N. Cook).
Identifying Extreme Cells in a Sizable Contingency Table: Probabilistic and Exploratory Approaches (F. Mosteller & A. Parunak).
Fitting Straight Lines By Eye (F. Mosteller, et al.).
Resistant Multiple Regression, One Variable at a Time (J. Emerson & D. Hoaglin).
Robust Regression (G. Li).
Checking the Shape of Discrete Distributions (D. Hoaglin & J. Tukey).
Using Quantiles to Study Shape (D. Hoaglin).
Index.

Ricardo Maronna, Doug Martin, Victor Yohai

Robust Statistics: Theory and Methods

ISBN: 0-470-01092-4
Hardcover
408 pages
May 2006

Description

Research in robust statistics is flourishing, with new methods being developed, and different applications considered. However, there are relatively few books covering robust statistics, and even less that cover the subject in a comprehensive and definitive manner. These books in themselves are either out-of-date, very theoretical in nature, or have little coverage of computing. This book will fulfil the need for a good up-to-date that presents a broad overview of the theory of robust statistics, integrated with applications and computing. It will feature in-depth coverage of the key methodology, including regression, multivariate analysis, and time series. It will be illustrated throughout by a range of examples and applications, and is backed up by S-Plus programs for implementing the methods described. It is supported by a Website featuring an S-Plus student edition download, S-Plus programs, and data sets.


Marc Paolella

Fundamental Probability: A Computational Approach

ISBN: 0-470-02594-8
Hardcover
482 pages
April 2006

Probability is a vital measure in numerous disciplines, from bioinformatics and econometrics to finance/insurance and computer science. Developed from a successful course, Fundamental Probability: A Computational Approach provides an engaging and hands-on introduction to this important topic. Whilst the theory is explored in detail, this book also emphasises practical applications, with the presentation of a large variety of examples and exercises, along with generous use of computational tools.
Based on international teaching experience with students of statistics, mathematics, finance and econometrics, the book:

Presents new, innovative material alongside the classic theory.
Goes beyond standard presentations by carefully introducing and discussing more complex subject matter, including a richer use of combinatorics, runs and occupancy distributions, various multivariate sampling schemes, fat-tailed distributions, and several basic concepts used in finance.
Emphasises computational matters and programming methods via generous use of examples in MATLAB.
Includes a large, self-contained Calculus/Analysis appendix with derivations of all required tools, such as Leibnizf rule, exchange of derivative and integral, Fubinifs theorem, and univariate and multivariate Taylor series.
Presents over 150 end-of-chapter exercises, graded in terms of their difficulty, and accompanied by a full set of solutions online.
This book is intended as an introduction to the theory of probability for students in biology, mathematics, statistics, economics, engineering, finance, and computer science who possess the prerequisite knowledge of basic calculus and linear algebra.

Table of Contents


Brian D. Ripley

Stochastic Simulation

ISBN: 0-470-00960-8
Paperback
264 pages
March 2006

Description

A comprehensive guide to simulation methods with explicit recommendations of methods and algorithms. Covers both the technical aspects of the subject, such as the generation of random numbers, non-uniform random variates and stochastic processes, and the use of simulation. Supported by the relevant mathematical theory, the text contains a great deal of unpublished research material, including coverage of the analysis of shift-register generators, sensitivity analysis of normal variate generators, analysis of simulation output, and more. Includes a selection of computer programs.

Table of Contents

Aims of Simulation.
Pseudo-Random Numbers.
Random Variables.
Stochastic Models.
Variance Reduction.
Output Analysis.
Uses of Simulation.
Appendixes.
Index.