Probability for Statistics and Machine Learning

Fundamentals and Advanced Topics

Authors:

ISBN: 978-1-4419-9633-6 (Print) 978-1-4419-9634-3 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xix

  2. No Access

    Book Chapter

    Pages 1-93

    Review of Univariate Probability

  3. No Access

    Book Chapter

    Pages 95-121

    Multivariate Discrete Distributions

  4. No Access

    Book Chapter

    Pages 123-165

    Multidimensional Densities

  5. No Access

    Book Chapter

    Pages 167-197

    Advanced Distribution Theory

  6. No Access

    Book Chapter

    Pages 199-219

    Multivariate Normal and Related Distributions

  7. No Access

    Book Chapter

    Pages 221-248

    Finite Sample Theory of Order Statistics and Extremes

  8. No Access

    Book Chapter

    Pages 249-292

    Essential Asymptotics and Applications

  9. No Access

    Book Chapter

    Pages 293-322

    Characteristic Functions and Applications

  10. No Access

    Book Chapter

    Pages 323-338

    Asymptotics of Extremes and Order Statistics

  11. No Access

    Book Chapter

    Pages 339-374

    Markov Chains and Applications

  12. No Access

    Book Chapter

    Pages 375-400

    Random Walks

  13. No Access

    Book Chapter

    Pages 401-436

    Brownian Motion and Gaussian Processes

  14. No Access

    Book Chapter

    Pages 437-462

    Poisson Processes and Applications

  15. No Access

    Book Chapter

    Pages 463-504

    Discrete Time Martingales and Concentration Inequalities

  16. No Access

    Book Chapter

    Pages 505-526

    Probability Metrics

  17. No Access

    Book Chapter

    Pages 527-558

    Empirical Processes and VC Theory

  18. No Access

    Book Chapter

    Pages 559-582

    Large Deviations

  19. No Access

    Book Chapter

    Pages 583-612

    The Exponential Family and Statistical Applications

  20. No Access

    Book Chapter

    Pages 613-687

    Simulation and Markov Chain Monte Carlo

  21. No Access

    Book Chapter

    Pages 689-746

    Useful Tools for Statistics and Machine Learning

  22. Back Matter

    Pages 747-782