05655cam a2200649Mu 4500 ocn827207941 OCoLC 20171112084143.0 m o d cr cnu---unuuu 130211s2012 enk o 000 0 eng d 9781118555286 (electronic bk.) 1118555287 (electronic bk.) 9781118555552 (electronic bk.) 1118555554 (electronic bk.) AU@ 000051629276 CHBIS 010026754 CHVBK 306230836 DEBSZ 431330956 GBVCP 79020648X NZ1 15915387 DEBBG BV043395376 (OCoLC)827207941 EBLCP eng pn EBLCP N$T OCLCQ OCLCO YDXCP DG1 OHI OCLCF UKDOC OCLCQ DEBSZ OCLCQ DEBBG MAIN QA276 .G384 2012 MAT 029000 bisacsh 519.50285 Givens, Geof H. Computational Statistics / [electronic resource] 2nd ed. Chicester : Wiley, 2012. 1 online resource (491 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier Wiley Series in Computational Statistics COMPUTATIONAL STATISTICS; CONTENTS; PREFACE; ACKNOWLEDGMENTS; 1 REVIEW; 1.1 Mathematical Notation; 1.2 Taylor's Theorem and Mathematical Limit Theory; 1.3 Statistical Notation and Probability Distributions; 1.4 Likelihood Inference; 1.5 Bayesian Inference; 1.6 Statistical Limit Theory; 1.7 Markov Chains; 1.8 Computing; PART I: OPTIMIZATION; 2 OPTIMIZATION AND SOLVING NONLINEAR EQUATIONS; 2.1 Univariate Problems; 2.1.1 Newton's Method; 2.1.1.1 Convergence Order; 2.1.2 Fisher Scoring; 2.1.3 Secant Method; 2.1.4 Fixed-Point Iteration; 2.1.4.1 Scaling; 2.2 Multivariate Problems. 2.2.1 Newton's Method and Fisher Scoring; 2.2.1.1 Iteratively Reweighted Least Squares; 2.2.2 Newton-Like Methods; 2.2.2.1 Ascent Algorithms; 2.2.2.2 Discrete Newton and Fixed-Point Methods; 2.2.2.3 Quasi-Newton Methods; 2.2.3 Gauss-Newton Method; 2.2.4 Nelder-Mead Algorithm; 2.2.5 Nonlinear Gauss-Seidel Iteration; Problems; 3 COMBINATORIAL OPTIMIZATION; 3.1 Hard Problems and NP-Completeness; 3.1.1 Examples; 3.1.2 Need for Heuristics; 3.2 Local Search; 3.3 Simulated Annealing; 3.3.1 Practical Issues; 3.3.1.1 Neighborhoods and Proposals; 3.3.1.2 Cooling Schedule and Convergence. 3.3.2 Enhancements; 3.4 Genetic Algorithms; 3.4.1 Definitions and the Canonical Algorithm; 3.4.1.1 Basic Definitions; 3.4.1.2 Selection Mechanisms and Genetic Operators; 3.4.1.3 Allele Alphabets and Genotypic Representation; 3.4.1.4 Initialization, Termination, and Parameter Values; 3.4.2 Variations; 3.4.2.1 Fitness; 3.4.2.2 Selection Mechanisms and Updating Generations; 3.4.2.3 Genetic Operators and Permutation Chromosomes; 3.4.3 Initialization and Parameter Values; 3.4.4 Convergence; 3.5 Tabu Algorithms; 3.5.1 Basic Definitions; 3.5.2 The Tabu List; 3.5.3 Aspiration Criteria. 3.5.4 Diversification; 3.5.5 Intensification; 3.5.6 Comprehensive Tabu Algorithm; Problems; 4 EM OPTIMIZATION METHODS; 4.1 Missing Data, Marginalization, and Notation; 4.2 The EM Algorithm; 4.2.1 Convergence; 4.2.2 Usage in Exponential Families; 4.2.3 Variance Estimation; 4.2.3.1 Louis's Method; 4.2.3.2 SEM Algorithm; 4.2.3.3 Bootstrapping; 4.2.3.4 Empirical Information; 4.2.3.5 Numerical Differentiation; 4.3 EM Variants; 4.3.1 Improving the E Step; 4.3.1.1 Monte Carlo EM; 4.3.2 Improving the M Step; 4.3.2.1 ECM Algorithm; 4.3.2.2 EM Gradient Algorithm; 4.3.3 Acceleration Methods. 4.3.3.1 Aitken Acceleration; 4.3.3.2 Quasi-Newton Acceleration; Problems; PART II: INTEGRATION AND SIMULATION; 5 NUMERICAL INTEGRATION; 5.1 Newton-Côtes Quadrature; 5.1.1 Riemann Rule; 5.1.2 Trapezoidal Rule; 5.1.3 Simpson's Rule; 5.1.4 General kth-Degree Rule; 5.2 Romberg Integration; 5.3 Gaussian Quadrature; 5.3.1 Orthogonal Polynomials; 5.3.2 The Gaussian Quadrature Rule; 5.4 Frequently Encountered Problems; 5.4.1 Range of Integration; 5.4.2 Integrands with Singularities or Other Extreme Behavior; 5.4.3 Multiple Integrals; 5.4.4 Adaptive Quadrature; 5.4.5 Software for Exact Integration Problems. This new edition continues to serve as a comprehensive guide to modern and classical methods of statistical computing. The book is comprised of four main parts spanning the field: Optimization, Integration and Simulation, Bootstrapping, Density Estimation and Smoothing. Within these sections, each chapter includes a comprehensive introduction and step-by-step implementation summaries to accompany the explanations of key methods. The new edition includes updated coverage and existing topics as well as new topics. Print version record. Mathematical statistics Data processing. Computational statistics. Probabilities Data processing. Statistics Data processing. MATHEMATICS Probability & Statistics General. bisacsh Mathematical statistics Data processing. fast (OCoLC)fst01012133 Electronic books. Hoeting, Jennifer A. (Jennifer Ann), 1966- Print version: Givens, Geof H. Computational Statistics. Chicester : Wiley, ©2012 9780470533314 Wiley series in computational statistics. http://onlinelibrary.wiley.com/book/10.1002/9781118555552 Wiley Online Library ddc BK 206420 206420