Recursive computation of the stochastic matrix for digitized Rayleigh process

1977 ◽  
Vol 65 (7) ◽  
pp. 1081-1081
Author(s):  
W.J. Szajnowski
1991 ◽  
Vol 28 (1) ◽  
pp. 96-103 ◽  
Author(s):  
Daniel P. Heyman

We are given a Markov chain with states 0, 1, 2, ···. We want to get a numerical approximation of the steady-state balance equations. To do this, we truncate the chain, keeping the first n states, make the resulting matrix stochastic in some convenient way, and solve the finite system. The purpose of this paper is to provide some sufficient conditions that imply that as n tends to infinity, the stationary distributions of the truncated chains converge to the stationary distribution of the given chain. Our approach is completely probabilistic, and our conditions are given in probabilistic terms. We illustrate how to verify these conditions with five examples.


2007 ◽  
Vol 57 (8) ◽  
pp. 962-973 ◽  
Author(s):  
A. Mazroui ◽  
D. Sbibih ◽  
A. Tijini

2019 ◽  
Vol 12 (7) ◽  
pp. 822-835 ◽  
Author(s):  
Dimitrije Jankov ◽  
Shangyu Luo ◽  
Binhang Yuan ◽  
Zhuhua Cai ◽  
Jia Zou ◽  
...  

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