MARC Record from harvard_bibliographic_metadata

LEADER: 03473cam a2200373Ia 4500
001 012837832-8
005 20140910154259.0
008 110311s2011 nyua e b 001 0 eng d
020 $a1441996338
020 $a9781441996336
035 0 $aocn706920643
040 $aYDXCP$cYDXCP$dIPL$dBWX
050 4 $aQA274$b.D38 2011
100 1 $aDasGupta, Anirban.
245 00 $aProbability for statistics and machine learning :$bfundamentals and advanced topics /$cAnirban DasGupta.
260 $aNew York :$bSpringer,$cc2011.
300 $axix, 782 p. :$bill. ;$c24 cm.
490 1 $aSpringer texts in statistics
504 $aIncludes bibliographical references and indexes.
505 0 $aChapter 1. Review of Univariate Probability -- Chapter 2. Multivariate Discrete Distributions -- Chapter 3. Multidimensional Densities -- Chapter 4. Advance Distribution Theory -- Chapter 5. Multivariate Normal and Related Distributions -- Chapter 6. Finite Sample Theory of Order Statistics and Extremes -- Chapter 7. Essential Asymptotics and Applications -- Chapter 8. Characteristic Functions and Applications -- Chapter 9. Asymptotics of Extremes and Order Statistics -- Chapter 10. Markov Chains and Applications -- Chapter 11. Random Walks -- Chapter 12. Brownian Motion and Gaussian Processes -- Chapter 13. Posson Processes and Applications -- Chapter 14. Discrete Time Martingales and Concentration Inequalities -- Chapter 15. Probability Metrics -- Chapter 16. Empirical Processes and VC Theory -- Chapter 17. Large Deviations -- Chapter 18. The Exponential Family and Statistical Applications -- Chapter 19. Simulation and Markov Chain Monte Carlo -- Chapter 20. Useful Tools for Statistics and Machine Learning -- Appendix A. Symbols, Useful Formulas, and Normal Table.
520 $aThis book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in an extremely accessible style, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in its unification of probability and statistics, its coverage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance. This book can be used as a text for a year long graduate course in statistics, computer science, or mathematics, for self-study, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory, asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processes, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayes estimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probability.
650 0 $aProbabilities.
650 0 $aStochastic processes.
650 0 $aMathematical statistics.
650 0 $aMachine learning.
650 0 $aBioinformatics.
650 0 $aComputer simulation.
650 0 $aDistribution (Probability theory).
650 0 $aStatistics.
830 0 $aSpringer texts in statistics.
899 $a415_565004
988 $a20110726
049 $aCLSL
906 $0OCLC