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Recent Advances in Applied Probability

  • Book
  • © 2005

Overview

Editors:
  1. Ricardo Baeza-Yates

    1. Universidad de Chile, Chile

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    You can also search for this editor in PubMed   Google Scholar

  2. Joseph Glaz

    1. University of Connecticut, USA

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  3. Henryk Gzyl

    1. Universidad Simón Bolívar, Venezuela

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  4. Jürgen Hüsler

    1. University of Bern, Switzerland

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  5. José Luis Palacios

    1. Universidad Simón Bolívar, Venezuela

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  • The unique feature of the articles in this volume is that they survey a broad spectrum of current research in the area of applied probability and statistics by active researchers in the areas of probability
  • Discusses applications and includes many references to related research
  • Discusses open problems that will encourage graduate students and researchers to start research projects
  • Includes supplementary material: sn.pub/extras

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Modeling Text Databases

    • Ricardo Baeza-Yates, Gonzalo Navarro
    Pages 1-25

  3. An Overview of Probabilistic and Time Series Models in Finance

    • Alejandro Balbás, Rosario Romera, Esther Ruiz
    Pages 27-63

  4. Stereological Estimation of the Rose of Directions from the Rose of Intersections

    • Viktor Beneš, Ivan Sax
    Pages 65-96

  5. Approximations for Multiple Scan Statistics

    • Jie Chen, Joseph Glaz
    Pages 97-114

  6. Krawtchouk Polynomials and Krawtchouk Matrices

    • Philip Feinsilver, Jerzy Kocik
    Pages 115-141

  7. An Elementary Rigorous Introduction to Exact Sampling

    • F. Friedrich, G. Winkler, O. Wittich, V. Liebscher
    Pages 143-161

  8. On the Different Extensions of the Ergodic Theorem of Information Theory

    • Valerie Girardin
    Pages 163-179

  9. Dynamic Stochastic Models for Indexes and Thesauri, Identification Clouds, and Information Retrieval and Storage

    • Michiel Hazewinkel
    Pages 181-204

  10. Stability and Optimal Control for Semi-Markov Jump Parameter Linear Systems

    • Kenneth J. Hochberg, Efraim Shmerling
    Pages 205-221

  11. Statistical Distances Based on Euclidean Graphs

    • R. Jiménez, J. E. Yukich
    Pages 223-239

  12. Implied Volatility: Statics, Dynamics, and Probabilistic Interpretation

    • Roger W. Lee
    Pages 241-268

  13. On the Increments of the Brownian Sheet

    • José R. León, Oscar Rondón
    Pages 269-278

  14. Compound Poisson Approximation with Drift for Stochastic Additive Functionals with Markov and Semi-Markov Switching

    • Vladimir S. Korolyuk, Nikolaos Limnios
    Pages 279-297

  15. Penalized Model Selection for Ill-Posed Linear Problems

    • Carenne Ludeña, Ricardo Ríos
    Pages 299-327

  16. The Arov-Grossman Model and Burg’s Entropy

    • J.G. Marcano, M.D. Morán
    Pages 329-349

  17. Recent Results in Geometric Analysis Involving Probability

    • Patrick McDonald
    Pages 351-395

  18. Dependence or Independence of the Sample Mean and Variance In Non-IID or Non-Normal Cases and the Role of Some Tests of Independence

    • Nitis Mukhopadhyay
    Pages 397-426

  19. Optimal Stopping Problems for Time-Homogeneous Diffusions: A Review

    • Jesper Lund Pedersen
    Pages 427-454

  20. Criticality in Epidemics: The Mathematics of Sandpiles Explains Uncertainty in Epidemic Outbreaks

    • Nico Stollenwerk
    Pages 455-494
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Keywords

About this book

Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area.

This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.

Editors and Affiliations

  • Universidad de Chile, Chile

    Ricardo Baeza-Yates

  • University of Connecticut, USA

    Joseph Glaz

  • Universidad Simón Bolívar, Venezuela

    Henryk Gzyl, José Luis Palacios

  • University of Bern, Switzerland

    Jürgen Hüsler

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