000 03795nam a2200409 a 4500
001 EBC807304
003 MiAaPQ
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006 m o d |
007 cr cn|||||||||
008 111005s2012 enk sb 001 0 eng d
010 _z 2011041741
020 _z9780521895446 (hardback)
020 _a9781139185691 (electronic bk.)
035 _a(MiAaPQ)EBC807304
035 _a(Au-PeEL)EBL807304
035 _a(CaPaEBR)ebr10520981
035 _a(CaONFJC)MIL338246
035 _a(OCoLC)782877024
040 _aMiAaPQ
_cMiAaPQ
_dMiAaPQ
050 4 _aQA274.2
_b.K63 2012
082 0 4 _a519.2/2
_223
100 1 _aKobayashi, Hisashi.
245 1 0 _aProbability, random processes, and statistical analysis
_h[electronic resource] /
_cHisashi Kobayashi, Brian L. Mark, William Turin.
260 _aCambridge ;
_aNew York :
_bCambridge University Press,
_c2012.
300 _axxxi, 780 p.
504 _aIncludes bibliographical references and index.
505 8 _aMachine generated contents note: 1. Introduction; Part I. Probability, Random Variables and Statistics: 2. Probability; 3. Discrete random variables; 4. Continuous random variables; 5. Functions of random variables and their distributions; 6. Fundamentals of statistical analysis; 7. Distributions derived from the normal distribution; Part II. Transform Methods, Bounds and Limits: 8. Moment generating function and characteristic function; 9. Generating function and Laplace transform; 10. Inequalities, bounds and large deviation approximation; 11. Convergence of a sequence of random variables, and the limit theorems; Part III. Random Processes: 12. Random process; 13. Spectral representation of random processes and time series; 14. Poisson process, birth-death process, and renewal process; 15. Discrete-time Markov chains; 16. Semi-Markov processes and continuous-time Markov chains; 17. Random walk, Brownian motion, diffusion and it's processes; Part IV. Statistical Inference: 18. Estimation and decision theory; 19. Estimation algorithms; Part V. Applications and Advanced Topics: 20. Hidden Markov models and applications; 21. Probabilistic models in machine learning; 22. Filtering and prediction of random processes; 23. Queuing and loss models.
520 _a"Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and It's process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum-Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a valuable reference for professionals"--
_cProvided by publisher.
533 _aElectronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
650 0 _aStochastic analysis.
655 4 _aElectronic books.
700 1 _aMark, Brian L.
_q(Brian Lai-bue),
_d1969-
700 1 _aTurin, William.
710 2 _aProQuest (Firm)
856 4 0 _uhttps://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=807304
_zClick to View
999 _c71310
_d71310