Goodness-of-Fit Tests and Model Validity
(Sprache: Englisch)
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...
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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.
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.
Inhaltsverzeichnis zu „Goodness-of-Fit Tests and Model Validity “
Preface- Contributors
- List of Tables
- List of Figures
Part I. History and Fundamentals
1. Karl Pearson and the Chi-Squared Test (D.R. Cox)
2. Karl Pearson Chi-Square Test---The Dawn of Statistical Inference (C.R. Rao)
3. Approximate Models (P.J. Huber)
Part II. Chi-Squared Test
4. Partitioning the Pearson-Fisher Chi-Squared Goodness-of-Fit Statistic (G.D. Rayner)
5. Statistical Tests for Normal Family in Presence of Outlying Observations (A. Zerbet)
6. Chi-Squared Test for the Law of Annual Death Rates: Case with Censure for Life Insurance Files (L. Gerville-Reache)
Part III. Goodness-of-Fit Tests for Parametric Distributions
7. Shapiro-Wilk Type Goodness-of-Fit Tests for Normality: Asymptotics Revisited (P. Kumar Sen)
8. A Test for Exponentiality Based on Spacings for Progressively Type II Censored Data (N. Balakrishnan/H.K.T. Ng/N. Kannan)
9. Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped (S. Gulati/J. Neus)
10. Characterization Theorems and Goodness-of-Fit Tests (C.E. Marchetti/G.S. Mudholkar)
11. Goodness of Fit Tests Based on Record Data and Generalized Ranked Set Data (B.C. Arnold/R.J. Beaver/E. Castillo/J.M. Sarabia)Part IV. Regression and Goodness- of-Fit Tests
12. Gibbs Regression and a Test of Goodness of Fit (L. Seymour)
13. A CLT for the L_2 of the Regression Under a-Mixing: Application of G-O-F Tests (C.A.T. Diack)
14. Testing the Goodness of Fit of a Linear Model in Nonparametric Regression (Z. Mohdeb/A. Mokkadem)
15. A New Test of Linear Hypothesis in Regression (Y. Baraud/S. Huet/B. Laurent)Part V. Goodness-of-Fit Tests in Survival Analysis and Reliability
16. Inference in Extensions of the Cox Model for Heterogeneous Populations (O. Pons)
17. Assumptions of a Latent Survival Model (M.-L. Lee/A. Whitmore)
18. Goodness of Fit Testing for the Cox Proportional Hazards Model (K. Devarajan/N. Ebrahimi)
19. A New Family of Multivariate Distributions for Survival Da.
Bibliographische Angaben
- 2002, 507 Seiten, Maße: 25,4 cm, Gebunden, Englisch
- Ed. by Catherine Huber-Carol, Narayanaswamy Balakrishnan, M. S. Nikulin et al.
- Verlag: Springer
- ISBN-10: 0817642099
- ISBN-13: 9780817642099
Sprache:
Englisch
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