Probability and Statistical Models: Foundations for Problems in Reliability and Financial Mathematics

Arjun K. Gupta

ISBN 10: 0817649867 / ISBN 13: 9780817649869

Published by SPRINGER NATURE Sep 2010, 2010

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 267 pp. Englisch.

Seller Inventory # 9780817649869

Bibliographic Details

• Title: Probability and Statistical Models: Foundations for Problems in Reliability and Financial Mathematics
• Publisher: SPRINGER NATURE Sep 2010
• Publication Date: 2010
• Language: English
• ISBN 10: 0817649867
• ISBN 13: 9780817649869
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 165H x 23D millimeters 241 millimeters width by 165 millimeters height by 23 millimeters depth
• Weight: 562 grams

About this title

Synopsis

Probability models are now a vital componentof every scienti c investigation. This book is intended to introduce basic ideas in stochastic modeling, with emphasis on models and techniques. These models lead to well-known parametric lifetime distributions, such as exponential, Weibull, and gamma distributions, as well as the change-point and mixture models. They also motivate us to consider more general notions of nonparametric lifetime distribution classes. Particular attention has been paid to their applications in reliability, insurance mathematics, and economics. The following topics are the focus in this volume: 1. Exponential Distributions and the Poisson Process; 2. Parametric Lifetime Distributions; 3. Nonparametric Lifetime Distribution Classes; 4. Multivariate Exponential Extensions; 5. Association and Dependence; 6. Renewal Theory; 7. Applications to Reliability, Insurance, Finance, and Credit Risk. Chapter1providesnotationandbasicresultsinprobabilitytheorythatareneeded in the consequent chapters. Chapters 2 and 3 are devoted to models related to exponential distribution and Poisson processes. Particular attentions is paid to the characterizations of exponential distribution and the Poisson process. Two of the most important properties that characterize exponential distribution: the lack of memory property and constant failure rate are discussed in detail. Then the g- eralizations of exponential distribution are examined in three directions: through its parametric form that leads to parametric families of lifetime distributions; via notionsof aging(such as monotonefailure rate) that lead to a varietyof lifetime d- tribution classes; and through lifetime distributions of multiple component systems that lead to multivariate (mainly bivariate) exponential extension.

About the Author

Arjun K. Gupta is the author of a previous Birkhäuser book: Gupta/Chen, "Parametric Statistical Change Point Analysis," (978-0-8176-4169-6, 2000, 184 p.)