Applied probability / by Kenneth Lange
- 作者： Lange, Kenneth.
- 其他作者：
- 其他題名：
- Springer eBooks
- 出版： New York, NY : Springer Science+Business Media, LLC 2010
- 叢書名： Springer texts in statistics ,
- 主題： Probabilities , Statistics. , Statistical Theory and Methods. , Probability Theory and Stochastic Processes. , Probability and Statistics in Computer Science. , Mathematical Biology in General. , Computational Mathematics and Numerical Analysis. , Simulation and Modeling.
- 版本：2nd ed.
- ISBN： 9781441971654 (electronic bk.) 、 9781441971647 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005176258 | 機讀編目格式
館藏資訊
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, computer science, physics, and statistics. Readers should have a working knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. The second edition adds two new chapters on asymptotic and numerical methods and an appendix that separates some of the more delicate mathematical theory from the steady flow of examples in the main text. Besides the two new chapters, the second edition includes a more extensive list of exercises, many additions to the exposition of combinatorics, new material on rates of convergence to equilibrium in reversible Markov chains, a discussion of basic reproduction numbers in population modeling, and better coverage of Brownian motion. Because many chapters are nearly self-contained, mathematical scientists from a variety of backgrounds will find Applied Probability useful as a reference