Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms
eBook - PDF

Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

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

Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms

About this book

This book illustrates a number of asymptotic and analytic approaches applied for the study of random evolutionary systems, and considers typical problems for specific examples. In this case, constructive mathematical models of natural processes are used, which more realistically describe the trajectories of diffusion-type processes, rather than those of the Wiener process.

We examine models where particles have some free distance between two consecutive collisions. At the same time, we investigate two cases: the Markov evolutionary system, where the time during which the particle moves towards some direction is distributed exponentially with intensity parameter ?; and the semi-Markov evolutionary system, with arbitrary distribution of the switching process. Thus, the models investigated here describe the motion of particles with a finite speed and the proposed random evolutionary process with characteristics of a natural physical process: free run and finite propagation speed. In the proposed models, the number of possible directions of evolution can be finite or infinite.

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Yes, you can access Asymptotic and Analytic Methods in Stochastic Evolutionary Symptoms by Dmitri Koroliouk,Igor Samoilenko in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley-ISTE
Year
2023
Print ISBN
9781786309112
eBook ISBN
9781394229468
Edition
1
Topic
Mathematics
Subtopic
Probability & Statistics
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Preface
  6. Introduction
  7. Chapter 1. Multidimensional Models of Kac Type
  8. Chapter 2. Symmetry of Markov Random Evolutionary Processes in Rn
  9. Chapter 3. Hyperparabolic Equations, Integral Equation and Distribution for Markov Random Evolutionary Processes
  10. Chapter 4. Fading Markov Random Evolutionary Process
  11. Chapter 5. Two Models of the Evolutionary Process
  12. Chapter 6. Diffusion Process with Evolution and Its Parameter Estimation
  13. Chapter 7. Filtration of Stationary Gaussian Statistical Experiments
  14. Chapter 8. Adapted Statistical Experiments with Random Change of Time
  15. Chapter 9. Filtering of Stationary Gaussian Statistical Experiments
  16. Chapter 10. Asymptotic Large Deviations for Markov Random Evolutionary Process
  17. Chapter 11. Asymptotic Large Deviations for Semi-Markov Random Evolutionary Processes
  18. Chapter 12. Heuristic Principles of Phase Merging in Reliability Analysis
  19. References
  20. Index
  21. EULA