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

• Main Authors: Gupta, Arjun K. (Author), Zeng, Wei-Bin (Author), Wu, Yanhong (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
• Edition: First.
• Subjects: Mathematics.; Economics, Mathematical.; Mathematical models.; Probabilities.; Statistics.; Applied mathematics.; Engineering mathematics.; Probability Theory and Stochastic Processes.; Statistics for Business/Economics/Mathematical Finance/Insurance.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Modeling and Industrial Mathematics.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Quantitative Finance.

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. These models form the basis of well-known parametric lifetime distributions such as exponential, Weibul...

Table of Contents:

• 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.