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Mathematics - Probability Theory and Stochastic Processes | Renewal Processes

Renewal Processes

Mitov, Kosto V., Omey, Edward

2014, VIII, 122 p. 1 illus.

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  • Covers contemporary results on the main topics of renewal theory
  • Presents all results in a detailed and consistent manner, thus providing a step-by-step introduction to renewal theory
  • Includes new applications as well as a special section on multivariate renewal theory and renewal reward processes

This monograph serves as an introductory text to classical renewal theory and some of its applications for graduate students and researchers in mathematics and probability theory. Renewal processes play an important part in modeling many phenomena in insurance, finance, queuing systems, inventory control and other areas. In this book, an overview of univariate renewal theory is given and renewal processes in the non-lattice and lattice case are discussed. A pre-requisite is a basic knowledge of probability theory.

Content Level » Graduate

Keywords » 60K05, 60K10, 60K30, 26A12, 60-01 - limit theorems - queuing systems - regenerative processes - renewal function - renewal processes

Related subjects » Probability Theory and Stochastic Processes - Statistical Theory and Methods

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