Goodness-of-Fit Tests and Model Validity / edited by C. Huber-Carol, N. Balakrishnan, M. S. Nikulin, M. Mesbah
(Statistics for Industry and Technology)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
| 出版年 | 2002 |
| 本文言語 | 英語 |
| 大きさ | XXXV, 507 p : online resource |
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| 内容注記 | I: History and Fundamentals 1 Karl Pearson and the Chi-Squared Test 2 Karl Pearson Chi-Square Test—The Dawn of Statistical Inference 3 Approximate Models II: Chi-Squared Test 4 Partitioning the Pearson-Fisher Chi-Squared Goodness-of-Fit Statistic 5 Statistical Tests for Normal Family in Presence of Outlying Observations 6 Chi-Squared Test for the Law of Annual Death Rates: Case with Censure for Life Insurance Files III: Goodness-of-Fit Tests for Parametric Distributions 7 Shapiro-Wilk Type Goodness-of-Fit Tests for Normality: Asymptotics Revisited 8 A Test for Exponentiality Based on Spacings for Progressively Type-II Censored Data 9 Goodness-of-Fit Statistics for the Exponential Distribution When the Data are Grouped 10 Characterization Theorems and Goodness-of-Fit Tests 11 Goodness-of-Fit Tests Based on Record Data and Generalized Ranked Set Data IV: Regression and Goodness-of-Fit Tests 12 Gibbs Regression and a Test of Goodness-of-Fit 13 A CLT for the L_2 Norm of the Regression Estimators Under ?-Mixing: Application to G-O-F Tests 14 Testing the Goodness-of-Fit of a Linear Model in Nonparametric Regression 15 A New Test of Linear Hypothesis in Regression V: Goodness-of-Fit Tests in Survival Analysis and Relability 16 Inference in Extensions of the Cox Model for Heterogeneous Populations 17 Assumptions of a Latent Survival Model 18 Goodness-of-Fit Testing for the Cox Proportional Hazards Model 19 A New Family of Multivariate Distributions for Survival Data 20 Discrimination Index, the Area Under the ROC Curve 21 Goodness-of-Fit Tests for Accelerated Life Models VI: Graphical Methods and General Goodness-of-Fit Tests 22 Two Nonstandard Examples of the Classical Stratification Approach to Graphically Assessing Proportionality of Hazards 23 Association in Contingency Tables, Correspondence Analysis, and (Modified) Andrews Plot 24 Orthogonal Expansions and Distinction Between Logistic and Normal 25 Functional Tests of Fit 26 Quasi Most Powerful Invariant Tests of Goodness-of-Fit VII: Model Validity in Quality of Life 27 Test of Monotonicity for the Rasch Model 28 Validation of Model Assumptions in Quality of Life Measurements VIII: Tests of Hypotheses and Estimation with Applications 29 One-Sided Hypotheses in a Multinomial Model 30 A Depth Test for Symmetry Peter 31 Adaptive Combination of Tests 32 Partially Parametric Testing 33 Exact Nonparametric Two-Sample Homogeneity Tests 34 Power Comparisons of Some Nonparametric Tests for Lattice Ordered Alternatives in Two-Factor Experiments 35 Tests of Independence with Exponential Marginals 36 Testing Problem for Increasing Function in a Model with Infinite Dimensional Nuisance Parameter 37 The Concept of Generalized Asymptotic Deficiency and its Application to the Minimum Discrepancy Estimation |
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| 一般注記 | 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 |
| 著者標目 | Huber-Carol, C. editor Balakrishnan, N. editor Nikulin, M. S. editor Mesbah, M. editor SpringerLink (Online service) |
| 件 名 | LCSH:Statistics LCSH:Probabilities LCSH:Computational intelligence FREE:Statistics FREE:Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Probability Theory and Stochastic Processes FREE:Statistical Theory and Methods FREE:Computational Intelligence |
| 分 類 | DC23:519.5 |
| 巻冊次 | ISBN:9781461201038 
|
| ISBN | 9781461201038 |
| URL | http://dx.doi.org/10.1007/978-1-4612-0103-8 |
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