Publisher:

Chapman & Hall/CRC

Number of Pages:

409

Price:

89.95

ISBN:

9781420099652

Date Received:

Tuesday, July 5, 2011

Reviewable:

No

Reviewer Email Address:

Series:

Monographs on Statistics and Applied Probability 120

Publication Date:

2011

Format:

Hardcover

Audience:

Category:

Monograph

**Introduction**General Notation

Illustrative Examples

Some Background and Relevant Definitions

Parametric Inference based on the Maximum Likelihood Method

1.Hypothesis Testing by Likelihood Methods

Statistical Functionals and Influence Function

Outline of the Book

Distances Based on Distribution Functions

Density-Based Distances

Minimum Hellinger Distance Estimation: Discrete Models

Minimum Distance Estimation Based on Disparities: Discrete Models

Some Examples

Minimum Hellinger Distance Estimation

Estimation of Multivariate Location and Covariance

A General Structure

The Basu-Lindsay Approach for Continuous Data

Examples

The Graphical Interpretation of Robustness

The Generalized Hellinger Distance

Higher Order Influence Analysis

Higher Order Influence Analysis: Continuous Models

Asymptotic Breakdown Properties

The α-Influence Function

Outlier Stability of Minimum Distance Estimators

Contamination Envelopes

The Iteratively Reweighted Least Squares (IRLS)

Disparity Difference Tests in Discrete Models

Disparity Difference Tests: The Continuous Case

Power Breakdown of Disparity Difference Tests

Outlier Stability of Hypothesis Tests

The Two Sample Problem

Penalized Distances

Combined Distances

ǫ-Combined Distances

Coupled Distances

The Inlier-Shrunk Distances

Numerical Simulations and Examples

The Continuous Case

Examples

Hypothesis Testing

Further Reading

Asymptotic Distribution of the Goodness-of-Fit Statistics

Exact Power Comparisons in Small Samples

Choosing a Disparity to Minimize the Correction Terms

Small Sample Comparisons of the Test Statistics

Inlier Modified Statistics

An Application: Kappa Statistics

The Minimum Density Power Divergence Estimator

A Related Divergence Measure

The Censored Survival Data Problem

The Normal Mixture Model Problem

Selection of Tuning Parameters

Other Applications of the Density Power Divergence

Minimum Hellinger Distance Methods in Mixture Models

Minimum Distance Estimation Based on Grouped Data

Semiparametric Problems

Other Miscellaneous Topics

Entropies and Divergences

Csiszar’s f-Divergence

The Bregman Divergence

Extended f-Divergences

Additional Remarks

Preliminaries for Other Models

Neural Networks

Fuzzy Theory

Phase Retrieval

Summary

Publish Book:

Modify Date:

Tuesday, January 17, 2012

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