Probability, Statistics, and Mathematics
eBook - PDF

Probability, Statistics, and Mathematics

Papers in Honor of Samuel Karlin

  1. 412 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Probability, Statistics, and Mathematics

Papers in Honor of Samuel Karlin

About this book

Probability, Statistics, and Mathematics: Papers in Honor of Samuel Karlin is a collection of papers dealing with probability, statistics, and mathematics. Conceived in honor of Polish-born mathematician Samuel Karlin, the book covers a wide array of topics, from the second-order moments of a stationary Markov chain to the exponentiality of the local time at hitting times for reflecting diffusions. Smoothed limit theorems for equilibrium processes are also discussed. Comprised of 24 chapters, this book begins with an introduction to the second-order moments of a stationary Markov chain, paying particular attention to the consequences of the autoregressive structure of the vector-valued process and how to estimate the stationary probabilities from a finite sequence of observations. Subsequent chapters focus on A. Selberg's second beta integral and an integral of mehta; a normal approximation for the number of local maxima of a random function on a graph; nonnegative polynomials on polyhedra; and the fundamental period of the queue with Markov-modulated arrivals. The rate of escape problem for a class of random walks is also considered. This monograph is intended for students and practitioners in the fields of statistics, mathematics, and economics.

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Yes, you can access Probability, Statistics, and Mathematics by T. W. Anderson,Krishna B. Athreya,Donald L. Iglehart in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780120584703
eBook ISBN
9781483216003
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Probability, Statistics, and Mathematics: Papers in Honor of Samuel Karlin
  3. Copyright Page
  4. Table of Contents
  5. LIST OF CONTRIBUTORS
  6. FOREWORD
  7. PUBLICATIONS OF SAMUEL KARLIN
  8. Chapter 1. Second-Order Moments of a Stationary Markov Chain and Some Applications
  9. Chapter 2. A "Dynamic" Proof of the Frobenius-Perron Theorem for Metzler Matrices
  10. Chapter 3. Selberg's Second Beta Integral and an Integral of Mehta
  11. Chapter 4. Exponentiality of the Local Time at Hitting Times for Reflecting Diffusions and an Application
  12. Chapter 5. A Normal Approximation for the Number of Local Maxima of a Random Function on a Graph
  13. Chapter 6. Operator Solution of Infinite Gδ Games of Imperfect Information
  14. Chapter 7. Smoothed Limit Theorems for Equilibrium Processes
  15. Chapter 8. Supercritical Branching Processes with Countably Many Types and the Size of Random Cantor Sets
  16. Chapter 9. Maxima of Random Quadratic Forms on a Simplex
  17. Chapter 10. Total Positivity and Renewal Theory
  18. Chapter 11. Some Remarks on Nonnegative Polynomials on Polyhedra
  19. Chapter 12. The Fundamental Period of the Queue with Markov-Modulated Arrivals
  20. Chapter 13. Some Remarks on a Limiting Diffusion for Decomposable Branching Processes
  21. Chapter 14. Some Results on Repeated Risktaking
  22. Chapter 15. The Rate of Escape Problem for a Class of Random Walks
  23. Chapter 16. Recent Advances on the Integrated Cauchy Functional Equation and Related Results in Applied Probability
  24. Chapter 17. A Note on Maximum Entropy
  25. Chapter 18. The Various Linear Fractional Lévy Motions
  26. Chapter 19. Bonferroni-Type Probability Bounds as an Application of the Theory of Tchebycheff Systems
  27. Chapter 20. The √N Law and Repeated Risktaking
  28. Chapter 21. A Theorem in Search of a Simple Proof
  29. Chapter 22. Grade of Membership Representations: Concepts and Problems
  30. Chapter 23. Uniform Error Bounds Involving Logspline Models
  31. Chapter 24. An Alternative to Cp Model Selection that Emphasizes the Quality of Coefficient Estimation