Applied Probability

• Main Author: Lange, Kenneth (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: Second.
• Series: Springer Texts in Statistics,
• Subjects: Statistics.; Mathematical statistics.; Computer simulation.; Computer mathematics.; Probabilities.; Biomathematics.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.; Probability and Statistics in Computer Science.; Mathematical and Computational Biology.; Computational Mathematics and Numerical Analysis.; Simulation and Modeling.

Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. It can serve as a textbook for graduate students in applied mathematics, biostatistics, computational biology,...

Table of Contents:

• Basic Notions of Probability Theory
• Calculation of Expectations
• Convexity, Optimization, and Inequalities
• Combinatorics
• Combinatorial Optimization
• Poisson Processes
• Discrete-Time Markov Chains
• Continuous-Time Markov Chains
• Branching Processes
• Martingales
• Diffusion Processes
• Asymptotic Methods
• Numerical Methods
• Poisson Approximation
• Number Theory
• Appendix: Mathematical Review.