Statistical Modeling and Computation

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This textbook on statistical modeling and statistical inference will assist advanced undergraduate and graduate students. Statistical Modeling and Computation provides a unique introduction to modern Statistics from both classical and Bayesian perspectives. It also offers an integrated treatment of Mathematical Statistics and modern statistical computation, emphasizing statistical modeling, computational techniques, and applications. Each of the three parts will cover topics essential to university courses. Part I covers the fundamentals of probability theory. In Part II, the authors introduce a wide variety of classical models that include, among others, linear regression and ANOVA models. In Part III, the authors address the statistical analysis and computation of various advanced models, such as generalized linear, state-space and Gaussian models. Particular attention is paid to fast Monte Carlo techniques for Bayesian inference on these models. Throughout the book the authors include a large number of illustrative examples and solved problems. The book also features a section with solutions, an appendix that serves as a MATLAB primer, and a mathematical supplement.​

Author(s): Dirk P. Kroese, Joshua C.C. Chan (auth.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 2014

Language: English
Pages: 400
Tags: Statistics and Computing/Statistics Programs; Statistics for Life Sciences, Medicine, Health Sciences; Statistical Theory and Methods

Front Matter....Pages i-xx
Front Matter....Pages 1-1
Probability Models....Pages 3-21
Random Variables and Probability Distributions....Pages 23-61
Joint Distributions....Pages 63-97
Front Matter....Pages 99-99
Common Statistical Models....Pages 101-120
Statistical Inference....Pages 121-159
Likelihood....Pages 161-194
Monte Carlo Sampling....Pages 195-226
Bayesian Inference....Pages 227-262
Front Matter....Pages 263-263
Generalized Linear Models....Pages 265-286
Dependent Data Models....Pages 287-322
State Space Models....Pages 323-348
Matlab Primer....Pages 349-366
Mathematical Supplement....Pages 367-372
Back Matter....Pages 373-400