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Stochastic Processes with Actuarial Applications
Paperback
Publisher: Cognella Academic Publishing
Published: Jul 15 2026
Pages: 342
Weight: 1.50
Height: 0.71 Width: 8.00 Depth: 10.00
Language: English
Stochastic Processes with Actuarial Applications provides a rigorous yet accessible introduction to the mathematical modeling of systems that evolve under uncertainty, with a particular emphasis on applications in actuarial science, statistics, and finance. The text focuses on discrete-time and continuous-time Markov chains, combining theoretical foundations with practical models such as Poisson processes, renewal processes, and queuing systems.
The material progresses from fundamental concepts-including the Markov property and transition matrices-to advanced topics such as multi-state models, limiting distributions, ruin theory, and stochastic differential equations. Additional chapters explore random walks, gambler's ruin, renewal phenomena, and the analysis of queuing systems through birth-and-death processes. The book concludes with an introduction to Gaussian processes, including Brownian motion and empirical distribution theory, highlighting applications in insurance and financial modeling. End-of-chapter exercises and selected solutions provide opportunities for students to strengthen their understanding through applied problem solving.
Designed for upper-level undergraduate and graduate courses in probability, stochastic processes, actuarial modeling, and statistics, Stochastic Processes with Actuarial Applications serves as both a classroom text and a practical reference. The book supports students pursuing studies in actuarial science, finance, insurance, engineering, and related quantitative disciplines, while providing a strong foundation for professional actuarial examinations.
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