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Generalized linear models : with applications in engineering and the sciences / / Raymond H. Myers ... [et al.]
| Generalized linear models : with applications in engineering and the sciences / / Raymond H. Myers ... [et al.] |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2010 |
| Descrizione fisica | 1 online resource (521 p.) |
| Disciplina | 519.5/35 |
| Altri autori (Persone) | MyersRaymond H |
| Collana | Wiley series in probability and statistics |
| Soggetto topico | Linear models (Statistics) |
| ISBN |
9786613446022
9781283446020 1283446022 9780470556986 0470556986 9780470556979 0470556978 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Generalized Linear Models: With Applications in Engineering and the Sciences; Contents; Preface; 1. Introduction to Generalized Linear Models; 1.1 Linear Models; 1.2 Nonlinear Models; 1.3 The Generalized Linear Model; 2. Linear Regression Models; 2.1 The Linear Regression Model and Its Application; 2.2 Multiple Regression Models; 2.2.1 Parameter Estimation with Ordinary Least Squares; 2.2.2 Properties of the Least Squares Estimator and Estimation of σ2; 2.2.3 Hypothesis Testing in Multiple Regression; 2.2.4 Confidence Intervals in Multiple Regression
2.2.5 Prediction of New Response Observations2.2.6 Linear Regression Computer Output; 2.3 Parameter Estimation Using Maximum Likelihood; 2.3.1 Parameter Estimation Under the Normal-Theory Assumptions; 2.3.2 Properties of the Maximum Likelihood Estimators; 2.4 Model Adequacy Checking; 2.4.1 Residual Analysis; 2.4.2 Transformation of the Response Variable Using the Box-Cox Method; 2.4.3 Scaling Residuals; 2.4.4 Influence Diagnostics; 2.5 Using R to Perform Linear Regression Analysis; 2.6 Parameter Estimation by Weighted Least Squares; 2.6.1 The Constant Variance Assumption 2.6.2 Generalized and Weighted Least Squares2.6.3 Generalized Least Squares and Maximum Likelihood; 2.7 Designs for Regression Models; Exercises; 3. Nonlinear Regression Models; 3.1 Linear and Nonlinear Regression Models; 3.1.1 Linear Regression Models; 3.1.2 Nonlinear Regression Models; 3.1.3 Origins of Nonlinear Models; 3.2 Transforming to a Linear Model; 3.3 Parameter Estimation in a Nonlinear System; 3.3.1 Nonlinear Least Squares; 3.3.2 The Geometry of Linear and Nonlinear Least Squares; 3.3.3 Maximum Likelihood Estimation; 3.3.4 Linearization and the Gauss-Newton Method 3.3.5 Using R to Perform Nonlinear Regression Analysis3.3.6 Other Parameter Estimation Methods; 3.3.7 Starting Values; 3.4 Statistical Inference in Nonlinear Regression; 3.5 Weighted Nonlinear Regression; 3.6 Examples of Nonlinear Regression Models; 3.7 Designs for Nonlinear Regression Models; Exercises; 4. Logistic and Poisson Regression Models; 4.1 Regression Models Where the Variance Is a Function of the Mean; 4.2 Logistic Regression Models; 4.2.1 Models with a Binary Response Variable; 4.2.2 Estimating the Parameters in a Logistic Regression Model 4.2.3 Interpellation of the Parameters in a Logistic Regression Model4.2.4 Statistical Inference on Model Parameters; 4.2.5 Lack-of-Fit Tests in Logistic Regression; 4.2.6 Diagnostic Checking in Logistic Regression; 4.2.7 Classification and the Receiver Operating Characteristic Curve; 4.2.8 A Biological Example of Logistic Regression; 4.2.9 Other Models for Binary Response Data; 4.2.10 More than Two Categorical Outcomes; 4.3 Poisson Regression; 4.4 Overdispersion in Logistic and Poisson Regression; Exercises; 5. The Generalized Linear Model; 5.1 The Exponential Family of Distributions 5.2 Formal Structure for the Class of Generalized Linear Models |
| Record Nr. | UNINA-9910139730403321 |
| Hoboken, N.J., : Wiley, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Probability and Statistics for Engineers and Scientists: Pearson New International Edition
| Probability and Statistics for Engineers and Scientists: Pearson New International Edition |
| Autore | Walpole Ronald E |
| Edizione | [9th ed.] |
| Pubbl/distr/stampa | [Place of publication not identified], : Pearson Education Limited, 2013 |
| Descrizione fisica | 1 online resource (858 pages) |
| Soggetto topico |
Engineering - Statistical methods
Statistics |
| ISBN | 1-292-03703-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Table of Contents -- 1. Introduction to Statistics and Data Analysis -- 2. Probability -- 3. Random Variables and Probability Distributions -- 4. Mathematical Expectation -- 5. Some Discrete Probability Distributions -- 6. Some Continuous Probability Distributions -- 7. Functions of Random Variables -- 8. Fundamental Sampling Distributions and Data Descriptions -- 9. One- and Two-Sample Estimation Problems -- 10. One- and Two-Sample Tests of Hypotheses -- 11. Simple Linear Regression and Correlation -- 12. Multiple Linear Regression and Certain Nonlinear Regression Models -- 13. One-Factor Experiments: General -- 14. Factorial Experiments (Two or More Factors) -- 15. 2k Factorial Experiments and Fractions -- 16. Nonparametric Statistics -- 17. Statistical Quality Control -- Bibliography -- Appendix: Statistical Tables and Proofs -- Index. |
| Altri titoli varianti | Probability and Statistics for Engineers and Scientists |
| Record Nr. | UNINA-9910153118803321 |
Walpole Ronald E
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| [Place of publication not identified], : Pearson Education Limited, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||