Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
A Short Probability Review Read chapter Read first chapter

2014 | OriginalPaper | Chapter

8. Continuous Time Branching Processes

Author : Rinaldo B. Schinazi

Published in: Classical and Spatial Stochastic Processes

Publisher: Springer New York

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter The Poisson Process
next chapter Continuous Time Birth and Death Chains
Literature
Bigger, J.W.: Treatment of staphylococcal infections with penicillin. Lancet 244, 497–500 (1944)CrossRef
Garet, O., Marchand, R., Schinazi, R.B.: Bacterial persistence: a winning strategy? Markov Process. Relat. Fields 18, 639–650 (2012)MathSciNetMATH
Hirsch, M.W., Smale, S.: Differential equations, dynamical systems and linear algebra. Academic Press (1974)
Schinazi, R.B., Schweinsberg, J.: Spatial and non spatial stochastic models for immune response. Markov Process. Relat. Fields 14, 255–276 (2008)MathSciNetMATH
Metadata
Title
Continuous Time Branching Processes
Author
Rinaldo B. Schinazi
Copyright Year
2014
Publisher
Springer New York
Book
Classical and Spatial Stochastic Processes

Print ISBN: 978-1-4939-1868-3

Electronic ISBN: 978-1-4939-1869-0

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-1-4939-1869-0_8