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Extensions and Applications

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Book cover Renewal Processes

Part of the book series: SpringerBriefs in Statistics ((BRIEFSSTATIST))

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Abstract

This chapter is devoted to some extensions and applications of renewal theory. First, we discuss the renewal theorems in the case where the underlying mean is infinite. We proceed by a short discussion of alternating renewal processes. In order to discuss renewal reward processes and superposed renewal processes, we need some basic properties of bivariate renewal theory. The chapter ends with some important applications of renewal theory in different areas of stochastic processes.

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Authors and Affiliations

  1. Aviation Faculty, National Military University “Vasil Levski”, Dolna Mitropolia, Bulgaria

    Kosto V. Mitov

  2. Faculty of Economics and Business, KU Leuven, Brussels, Belgium

    Edward Omey

Authors
  1. Kosto V. Mitov
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  2. Edward Omey
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Correspondence to Kosto V. Mitov .

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Mitov, K.V., Omey, E. (2014). Extensions and Applications. In: Renewal Processes. SpringerBriefs in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-05855-9_3

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