000840252 000__ 03697cam\a2200385\a\4500 000840252 001__ 840252 000840252 005__ 20210515151539.0 000840252 006__ m\\\\\o\\d\\\\\\\\ 000840252 007__ cr\cn\nnnunnun 000840252 008__ 111005s2012\\\\enk\\\\\ob\\\\001\0\eng\d 000840252 010__ $$z 2011041741 000840252 020__ $$z9780521895446 000840252 020__ $$z9781139185691$$q(electronic book) 000840252 035__ $$a(MiAaPQ)EBC807304 000840252 035__ $$a(Au-PeEL)EBL807304 000840252 035__ $$a(CaPaEBR)ebr10520981 000840252 035__ $$a(CaONFJC)MIL338246 000840252 035__ $$a(OCoLC)782877024 000840252 040__ $$aMiAaPQ$$cMiAaPQ$$dMiAaPQ 000840252 050_4 $$aQA274.2$$b.K63 2012 000840252 08204 $$a519.2/2$$223 000840252 1001_ $$aKobayashi, Hisashi. 000840252 24510 $$aProbability, random processes, and statistical analysis$$h[electronic resource] /$$cHisashi Kobayashi, Brian L. Mark, William Turin. 000840252 260__ $$aCambridge ;$$aNew York :$$bCambridge University Press,$$c2012. 000840252 300__ $$axxxi, 780 p. 000840252 504__ $$aIncludes bibliographical references and index. 000840252 5058_ $$aMachine generated contents note: 1. Introduction; Part I. Probability, Random Variables and Statistics: 2. Probability; 3. Discrete random variables; 4. Continuous random variables; 5. Functions of random variables and their distributions; 6. Fundamentals of statistical analysis; 7. Distributions derived from the normal distribution; Part II. Transform Methods, Bounds and Limits: 8. Moment generating function and characteristic function; 9. Generating function and Laplace transform; 10. Inequalities, bounds and large deviation approximation; 11. Convergence of a sequence of random variables, and the limit theorems; Part III. Random Processes: 12. Random process; 13. Spectral representation of random processes and time series; 14. Poisson process, birth-death process, and renewal process; 15. Discrete-time Markov chains; 16. Semi-Markov processes and continuous-time Markov chains; 17. Random walk, Brownian motion, diffusion and it's processes; Part IV. Statistical Inference: 18. Estimation and decision theory; 19. Estimation algorithms; Part V. Applications and Advanced Topics: 20. Hidden Markov models and applications; 21. Probabilistic models in machine learning; 22. Filtering and prediction of random processes; 23. Queuing and loss models. 000840252 506__ $$aAccess limited to authorized users. 000840252 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. 000840252 650_0 $$aStochastic analysis. 000840252 7001_ $$aMark, Brian L.$$q(Brian Lai-bue),$$d1969- 000840252 7001_ $$aTurin, William. 000840252 852__ $$bebk 000840252 85640 $$3ProQuest Ebook Central Academic Complete$$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=807304$$zOnline Access 000840252 909CO $$ooai:library.usi.edu:840252$$pGLOBAL_SET 000840252 980__ $$aEBOOK 000840252 980__ $$aBIB 000840252 982__ $$aEbook 000840252 983__ $$aOnline