Renewal Processes electronic resource by Kosto V. Mitov, Edward Omey.
Material type: TextSeries: SpringerBriefs in StatisticsPublication details: Cham : Springer International Publishing : Imprint: Springer, 2014Description: VIII, 122 p. 1 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319058559Subject(s): mathematics | Distribution (Probability theory) | Mathematical statistics | Mathematics | Probability Theory and Stochastic Processes | Statistical Theory and MethodsDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access onlinePreface -- Renewal Processes -- Discrete Time Renewal Processes -- Extensions and Applications -- Appendix: Convolutions and Laplace Transforms.
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.
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