Statistical Decision Theory Estimation, Testing, and Selection
This monograph is written for advanced graduate students, Ph.D. students, and researchers in mathematical statistics and decision theory. All major topics are introduced on a fairly elementary level and then developed gradually to higher levels. The book
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Springer Series in Statistics Alho/Spencer: Statistical Demography and Forecasting Andersen/Borgan/Gill/Keiding: Statistical Models Based on Counting Processes Atkinson/Riani: Robust Diagnostic Regression Analysis Atkinson/Riani/Ceriloi: Exploring Multivariate Data with the Forward Search Berger: Statistical Decision Theory and Bayesian Analysis, 2nd edition Borg/Groenen: Modern Multidimensional Scaling: Theory and Applications, 2nd edition Brockwell/Davis: Time Series: Theory and Methods, 2nd edition Bucklew: Introduction to Rare Event Simulation Capp´e/Moulines/Ryd´en: Inference in Hidden Markov Models Chan/Tong: Chaos: A Statistical Perspective Chen/Shao/Ibrahim: Monte Carlo Methods in Bayesian Computation Coles: An Introduction to Statistical Modeling of Extreme Values Devroye/Lugosi: Combinatorial Methods in Density Estimation Diggle/Ribeiro: Model-based Geostatistics Dudoit/Van der Laan: Multiple Testing Procedures with Applications to Genomics Efromovich: Nonparametric Curve Estimation: Methods, Theory, and Applications Eggermont/LaRiccia: Maximum Penalized Likelihood Estimation, Volume I: Density Estimation Fahrmeir/Tutz: Multivariate Statistical Modeling Based on Generalized Linear Models, 2nd edition Fan/Yao: Nonlinear Time Series: Nonparametric and Parametric Methods Ferraty/Vieu: Nonparametric Functional Data Analysis: Theory and Practice Ferreira/Lee: Multiscale Modeling: A Bayesian Perspective Fienberg/Hoaglin: Selected Papers of Frederick Mosteller Fr¨uhwirth-Schnatter: Finite Mixture and Markov Switching Models Ghosh/Ramamoorthi: Bayesian Nonparametrics Glaz/Naus/Wallenstein: Scan Statistics Good: Permutation Tests: Parametric and Bootstrap Tests of Hypotheses, 3rd edition Gouri´eroux: ARCH Models and Financial Applications Gu: Smoothing Spline ANOVA Models Gy¨ofi/Kohler/Krzy´zak/Walk: A Distribution-Free Theory of Nonparametric Regression Haberman: Advanced Statistics, Volume I: Description of Populations Hall: The Bootstrap and Edgeworth Expansion H¨ardle: Smoothing Techniques: With Implementation in S Harrell: Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis Hart: Nonparametric Smoothing and Lack-of-Fit Tests Hastie/Tibshirani/Friedman: The Elements of Statistical Learning: Data Mining, Inference, and Prediction Hedayat/Sloane/Stufken: Orthogonal Arrays: Theory and Applications Heyde: Quasi-Likelihood and Its Application: A General Approach to Optimal Parameter Estimation Huet/Bouvier/Poursat/Jolivet: Statistical Tools for Nonlinear Regression: A Practical Guide with S-PLUS and R Examples, 2nd edition Iacus: Simulation and Inference for Stochastic Differential Equations (continued after index)
Friedrich Liese · Klaus-J. Miescke
Statistical Decision Theory Estimation, Testing, and Selection
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Friedrich Liese Universit¨at Rostock Institut f¨ur Mathematik Universit¨atsplatz 1 18051 Rostock Germany [email protected]
ISBN: 978-0-387-73193-3 DOI: 10.1007/978-0-387-73194-0
Klaus-J. Miescke Department of Math
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