Simulation Branching Processes by Mixing Distributions

Vajargah, Behrouz; Moradi, Mojtaba

doi:10.2478/v10294-012-0008-0

.blurhash-client-img { display: none !important; }

Simulation Branching Processes by Mixing Distributions

Journal of Applied Mathematics, Statistics and Informatics

Volume 8 (2012): Issue 1 (May 2012)

By: Behrouz Vajargah and Mojtaba Moradi

Open Access

|Aug 2012

Abstract

The main aim of this paper is to study the behavior of mixed distributions in branching processes. We show that the mixed distribution cannot effect on the number of particles in the n^th period and it must be ignored for further simulations.

References

F. Brauer, P. v. d. Driessche, J. Wu (Eds.), Mathematical Epidemiology, Springer, 2008.10.1007/978-3-540-78911-6
Search in Google Scholar
J. O. Lloyd-Smith, S. J. Schreiber, P. E. Kopp, W. M. Getz, Superspreading and the effect of individual variation on disease emergence, LETTERS, Vol 438(17), 2005.10.1038/nature04153709498116292310
Search in Google Scholar
P. Guttorp, Statistical Inference for Branching Processes, Wiley Ser. Probab. Math. Statist., Academic Press, New York, 1991.
Search in Google Scholar
T. E. Harris, The Theory of Branching Processes, Springer-Verlag, Berlin, 1963.10.1007/978-3-642-51866-9
Search in Google Scholar
M. Kimmel, E. A. David, Branching processes in biology, Springer-Verlag, New York, 2002.10.1007/b97371
Search in Google Scholar
M. Mendoza, GE. utirrez-Pea, Bayesian conjugate analysis of the GaltonWatson process. Test 9 (1), 149-171. 2000.10.1007/BF02595856
Search in Google Scholar
T. N. Sriram, A. Bhattacharya, M. Gonzlez, R. Martnez, I. del Puerto, Estimation of the offspring mean in a controlled branching process with a random control function, Stochastic Processes and their Applications, 117 : 928-946(2007).10.1016/j.spa.2006.11.002
Search in Google Scholar

DOI: https://doi.org/10.2478/v10294-012-0008-0 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

Journal RSS Feed

Language: English

Page range: 75 - 78

Published on: Aug 13, 2012

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Related subjects:

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2012 Behrouz Vajargah, Mojtaba Moradi, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons License.

Volume 8 (2012): Issue 1 (May 2012)