Rates of Growth in a Class of Homogeneous Multidimensional Markov Chains
2006 ◽
Vol 43
(01)
◽
pp. 159-174
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Keyword(s):
We investigate the asymptotic behaviour of homogeneous multidimensional Markov chains whose states have nonnegative integer components. We obtain growth rates for these models in a situation similar to the near-critical case for branching processes, provided that they converge to infinity with positive probability. Finally, the general theoretical results are applied to a class of controlled multitype branching process in which random control is allowed.
2006 ◽
Vol 43
(1)
◽
pp. 159-174
◽
2005 ◽
Vol 42
(4)
◽
pp. 1015-1030
◽
2005 ◽
Vol 42
(04)
◽
pp. 1015-1030
◽
2005 ◽
Vol 42
(2)
◽
pp. 463-477
◽
2005 ◽
Vol 42
(02)
◽
pp. 463-477
◽
1986 ◽
Vol 23
(03)
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pp. 585-600
◽