NDLI: Limit Theorems for a Model of Interaction of Particles of Two Types Generalizing the BartlettMcKendrick Epidemic Process

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Mirzaev, M. Startsev, A. N.
Copyright Year	2007
Abstract	The present paper is a continuation of [A. N. Startsev, Theory Probab. Appl., 46 (2002), pp. 431447] in which limit theorems are established for the number of particles changing their types to the terminal moment of the process given that the initial numbers of particles of both types tend to infinity. Here this problem is solved under the condition that the initial number of particles having energy" is fixed. This assumption leads to models more actual for applications, in particular, in epidemiology. A part of the obtained results (Theorems 1 and 2) has been announced in [M. Mirzaev and A. N. Startsev, Proceedings of the International Conference Advances in Statistical Inferential Methods" (Almaty, 2003), NITS Fylym," Almaty, 2003, pp. 8185].
Starting Page	362
Ending Page	367
Page Count	6
File Format	PDF
ISSN	0040585X
DOI	10.1137/S0040585X97982360
e-ISSN	10957219
Journal	Theory of Probability & Its Applications (TPRBAU)
Issue Number	2
Volume Number	51
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2007-05-29
Access Restriction	Subscribed
Subject Keyword	interaction of particles number of particles changing types non-Markovian models limit theorems
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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Limit Theorems for a Model of Interaction of Particles of Two Types Generalizing the BartlettMcKendrick Epidemic Process