Continuous Time Branching Processes

Rinaldo B. Schinazi
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Rinaldo B. Schinazi: University of Colorado, Department of Mathematics

Chapter Chapter 8 in Classical and Spatial Stochastic Processes, 2014, pp 151-173 from Springer

Abstract: Abstract We introduce continuous time branching processes. The main difference between discrete and continuous branching processes is that births and deaths occur at random times for continuous time processes. Continuous time branching processes have the Markov property if (and only if) birth and death times are exponentially distributed. We will use several properties of the exponential distribution.

Keywords: Discrete Time Branching Process; Offspring Distribution; Exponential Random Time; Killing Time; Immune Response Model (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1869-0_8

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DOI: 10.1007/978-1-4939-1869-0_8

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