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.

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 StatisticalInference (C.R. Rao) * 3. Approximate Models (P.J. Huber) * Part II.Chi-Squared Test * 4. Partitioning the Pearson-Fisher Chi-SquaredGoodness-of-Fit Statistic (G.D. Rayner) * 5. Statistical Tests forNormal Family in Presence of Outlying Observations (A. Zerbet) * 6.Chi-Squared Test for the Law of Annual Death Rates: Case with Censurefor 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 IICensored Data (N. Balakrishnan/H.K.T. Ng/N. Kannan) * 9. Goodness ofFit Statistics for theExponential 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 RecordData and Generalized Ranked Set Data (B.C. Arnold/R.J. Beaver/E.