Probability, random processes, and statistical analysis

Probability, random processes, and statistical analysis

by Kobayashi, Hisashi

Type Book
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Title Statements

  • Full title :Probability, random processes, and statistical analysis / Hisashi Kobayashi, Brian L. Mark, William Turin.

Edition Statements

  • Publication Date:2012.

Publication Statements

Notes

E-bok.

The Physical Object

  • Description:1 online resource (xxxi, 780 p. : : illustrations)

Edition Identifiers

  • ISBN:1139183389, 9781139183383, 1139185691, 9781139185691
  • oclc:ocn939749201
  • LC Classification:QA274.2
  • Dewey Decimal:519.2

Table of Contents

Machine 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 an…

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