Henry C. Tuckwell

Elementary Applications of Probability Theory (eBook, ePUB)

• Format: ePub

Produktbeschreibung

This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 308
• Erscheinungstermin: 6. Februar 2018
• Englisch
• ISBN-13: 9781351452953
• Artikelnr.: 54154915

Autorenporträt

Tuckwell\, Henry C.

Inhaltsangabe

Preface
A Review of Basic Probability Theory
Geometric Probability
Some Applications of the Hypergeometric and Poisson Distributions
Reliability Theory
Simulation and Random Numbers
Convergence of Sequences of Random Variables: The Central Limit Theorem and the Laws of Large Numbers
Simple Random Walks
Population Genetics and Markov Chains
Population Growth I: Birth and Death Processes
Population Growth II: Branching Processes
Stochastic Processes and an Introduction to Stochastic Differential Equations
Diffusion Processes, Stochastic Differential Equations and Applications
Appendix: Table of Critical Values of the X2-Distribution
Index

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1. A review of basic probability theory 2. Geometric probability 3. Some
applications of the hypergeometric and Poisson distributions 4. Reliability
theory 5. Simulation and random numbers 6. Convergence of sequences of
random variables: The central limit theorem and the laws of large numbers
7. Simple random walks 8. Population genetics and Markov chains 9.
Population growth I: Birth and death processes 10. Population Growth II:
Branching Processes 11. Stochastic Processes and an Introduction to
Stochastic Differential Equations 12. Diffusion processes, stochastic
differential equations and applications