Probability and statistical models : foundations for problems in reliability and financial mathematics

著者

書誌事項

Probability and statistical models : foundations for problems in reliability and financial mathematics

Arjun K. Gupta, Wei-Bin Zeng, Yanhong Wu

Birkhäuser , Springer Science+Business Media, c2010

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注記

Includes bibliographical references (p. 241-243) and index

内容説明・目次

内容説明

With an emphasis on models and techniques, this textbook introduces many of the fundamental concepts of stochastic modeling that are now a vital component of almost every scientific investigation. In particular, emphasis is placed on laying the foundation for solving problems in reliability, insurance, finance, and credit risk. The material has been carefully selected to cover the basic concepts and techniques on each topic, making this an ideal introductory gateway to more advanced learning. With exercises and solutions to selected problems accompanying each chapter, this textbook is for a wide audience including advanced undergraduate and beginning-level graduate students, researchers, and practitioners in mathematics, statistics, engineering, and economics.

目次

Preliminaries.- Exponential Distribution.- Poisson Process.- Parametric Families of Lifetime Distributions.- Lifetime Distribution Classes.- Multivariate Lifetime Distributions.- Association and Dependence.- Renewal Theory.- Risk Theory.- Asset Pricing Theory.- Credit Risk Modeling.

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