Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 1999; 36(6): 1115-1132
Printed November 1, 1999
Copyright © The Korean Mathematical Society.
Central limit theorems for multitype age-dependent branching processes
Hye-Jeong Kang
We consider a supercritical multitype age dependent branching process. We define a stochastic process $Z_f(t)$ which is a functional of the empirical age distribution. When the limit of the expectation of this functional vanishes we find some sufficient conditions for the asymptotic normality of the mean of $f$ with respect to the empirical age distribution at time $t$.
Keywords: multitype age-dependent branching process, renewal equation, central limit theorem
MSC numbers: 60J80, 60F05
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
On limit behaviours for Feller's unfair-fair-game and its related model
2022; 59(6): 1185-1201
-
A central limit theorem for the stationary linear process generated by an associated process
2000; 37(3): 463-471
-
On a central limit theorem for a stationary multivariate linear process generated by linearly positive quadrant dependent random vectors
2002; 39(1): 119-126
-
Central limit type theorem for weighted particle systems
2004; 41(5): 773-793
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd