An Introduction to Probabilistic Modeling de Pierre Bremaud

An Introduction to Probabilistic Modeling: Undergraduate Texts in Mathematics

Pierre Bremaud

Introduction to the basic concepts of probability theory: independence, expectation, convergence in law and almost-sure convergence. Short expositions of more advanced topics such as Markov Chains, Stochastic Processes, Bayesian Decision Theory and Information Theory.

Citește tot Restrânge

Toate formatele și edițiile

	Preț	Express
Paperback (1)	524^.00 lei 6-8 săpt.
Springer – 17 oct 2012	524^.00 lei 6-8 săpt.
Hardback (1)	529^.55 lei 6-8 săpt.
Springer – aug 1988	529^.55 lei 6-8 săpt.

Din seria Undergraduate Texts in Mathematics

17%

Preț: 362^.13 lei
17%

Preț: 365^.43 lei
Preț: 332^.02 lei
Preț: 440^.01 lei
Preț: 351^.54 lei
13%

Preț: 389^.61 lei
8%

Preț: 384^.89 lei
Preț: 290^.80 lei
Preț: 400^.43 lei
Preț: 449^.62 lei
Preț: 402^.35 lei
Preț: 372^.27 lei
17%

Preț: 367^.24 lei
Preț: 424^.14 lei
Preț: 398^.78 lei
Preț: 257^.71 lei
Preț: 306^.96 lei
Preț: 367^.41 lei
Preț: 380^.27 lei
Preț: 280^.65 lei
Preț: 298^.01 lei
Preț: 407^.96 lei
Preț: 359^.49 lei
Preț: 415^.95 lei
Preț: 400^.43 lei
Preț: 407^.63 lei
Preț: 358^.11 lei
17%

Preț: 368^.61 lei
Preț: 370^.78 lei
Preț: 395^.09 lei
Preț: 364^.41 lei
Preț: 339^.37 lei
Preț: 304^.91 lei
Preț: 433^.85 lei
15%

Preț: 417^.75 lei
17%

Preț: 362^.67 lei
20%

Preț: 466^.84 lei
19%

Preț: 400^.52 lei
17%

Preț: 373^.60 lei
17%

Preț: 395^.93 lei
Preț: 329^.95 lei
19%

Preț: 492^.83 lei
Preț: 396^.24 lei
Preț: 390^.08 lei

Cuprins

1 Basic Concepts and Elementary Models.- 1. The Vocabulary of Probability Theory.- 2. Events and Probability.- 3. Random Variables and Their Distributions.- 4. Conditional Probability and Independence.- 5. Solving Elementary Problems.- 6. Counting and Probability.- 7. Concrete Probability Spaces.- Illustration 1. A Simple Model in Genetics: Mendel’s Law and Hardy—Weinberg’s Theorem.- Illustration 2. The Art of Counting: The Ballot Problem and the Reflection Principle.- Illustration 3. Bertrand’s Paradox.- 2 Discrete Probability.- 1. Discrete Random Elements.- 2. Variance and Chebyshev’s Inequality.- 3. Generating Functions.- Illustration 4. An Introduction to Population Theory: Galton—Watson’s Branching Process.- Illustration 5. Shannon’s Source Coding Theorem: An Introduction to Information Theory.- 3 Probability Densities.- I. Expectation of Random Variables with a Density.- 2. Expectation of Functionals of Random Vectors.- 3. Independence.- 4. Random Variables That Are Not Discrete and Do Not Have a pd.- Illustration 6. Buffon’s Needle: A Problem in Random Geometry.- 4 Gauss and Poisson.- 1. Smooth Change of Variables.- 2. Gaussian Vectors.- 3. Poisson Processes.- 4. Gaussian Stochastic Processes.- Illustration 7. An Introduction to Bayesian Decision Theory: Tests of Gaussian Hypotheses.- 5 Convergences.- 1. Almost-Sure Convergence.- 2. Convergence in Law.- 3. The Hierarchy of Convergences.- Illustration 8. A Statistical Procedure: The Chi-Square Test.- Illustration 9. Introduction to Signal Theory: Filtering.- Additional Exercises.- Solutions to Additional Exercises.