Goodness-Of-Fit Tests and Model Validity
by Huber-Carol, C.; Balakrishnan, N.; Nikulin, M. S.; Mesbah, M.Format: Hardcover
Pub. Date: 2002-03-01
Publisher(s): Birkhauser
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Summary
The 37 expository articles in this volume provide broad coverage of important topics relating to the theory, methods, and applications of goodness-of-fit tests and model validity. The book is divided into eight parts, each of which presents topics written by expert researchers in their areas. Key features include: * state-of-the-art exposition of modern model validity methods, graphical techniques, and computer-intensive methods * systematic presentation with sufficient history and coverage of the fundamentals of the subject * exposure to recent research and a variety of open problems * many interesting real-life examples for practitioners * extensive bibliography, with special emphasis on recent literature * subject index This comprehensive reference work will serve the statistical and applied mathematics communities as well as practitioners in the field.
Table of Contents
| Preface | |
| Contributors | |
| List of Tables | |
| List of Figures | |
| History and Fundamentals Karl Pearson and the Chi-Squared Test | |
| The Dawn of Statistical Inference | |
| Approximate Models | |
| Chi-Squared Test Partitioning the Pearson-Fisher Chi-Squared Goodness-of-Fit Statistic | |
| Statistical Tests for Normal Family in Presence of Outlying Observations | |
| Chi-Squared Test for the Law of Annual Death Rates: Case with Censure for Life Insurance Files | |
| Goodness-of-Fit Tests for Parametric Distributions Shapiro-Wilk Type Goodness-of-Fit Tests for Normality: Asymptotics Revisited | |
| A Test for Exponentiality Based on Spacings for Progressively Type II Censored Data | |
| Goodness-of- Fit Statistics for the Exponential Distribution When the Data are Grouped | |
| Characterization Theorems and Goodness-of-Fit Tests | |
| Goodness-of-Fit Tests Based on Record Data and Generalized Ranked Set Data | |
| Regression and Goodness-of-Fit Tests | |
| Gibbs Regression and a Test of Goodness-of-Fit | |
| A CLT for the L_2 Norm of the Regression Estimators Under alpha-Mixing: Application to G-O-F Tests | |
| Testing the Goodness-of-Fit of a Linear Model in Nonparametric Regression | |
| A New Test of Linear Hypothesis in Regression | |
| Goodness-of-Fit Tests in Survival Analysis and Reliability | |
| Inference in Extensions of the Cox Model for Heterogeneous Populations | |
| Assumptions of a Latent Survival Model | |
| Goodness-of-Fit Testing of the Cox Proportional Hazards Model | |
| A New Family of Multivariate Distributions for Survival Data | |
| Discrimination Index, the Area Under to ROC Curve | |
| Goodness-of-Fit Tests for Accelerated Life Models | |
| Graphic Methods and General Goodness-of-Fit Tests | |
| Two Nonstandard Examples of the Classical Stratification Approach to Graphically Assessing Proportionality of Hazards | |
| Association in Contingency Tables, Correspondence Analysis, and (Modified) Andrews Plots | |
| Orthogonal Expansions and Distinction Between Logistic and Normal | |
| Functional Tests of Fit | |
| Quasi Most Powerful Invariant Tests of Goodness-of-Fit | |
| Model Validity in Quality of Life | |
| Test of Monotonicity for the Rasch Model | |
| Validation of Model Assumptions in Quality of Life Measurements | |
| Tests of Hypotheses and Estimation with Applications | |
| One-Sided Hypotheses in a Multinomial Model | |
| A Depth Test for Symmetry | |
| Adaptive Combination of Tests | |
| Partially Parametric Testing | |
| Exact Nonparametric Two-Sample Homogeneity Tests | |
| Power Comparisons of Some Nonparametric Tests for Lattice Ordered Alternatives in Two-Factor Experiments | |
| Tests of Independence with Exponential Marginals | |
| Testing Problem for Increasing Function in a Model with Infinite Dimensional Nuisance Parameter | |
| The Concept of Generalized Asymptotic Deficie | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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