Homogeneous Markov Processes on Discrete State Spaces

2006 ◽  
pp. 39-49
Keyword(s):  
Markov Processes ◽  
State Spaces ◽  
Discrete State

scholarly journals Exact and fully symbolic verification of linear hybrid automata with large discrete state spaces

2012 ◽  
Vol 77 (10-11) ◽  
pp. 1122-1150 ◽  
Author(s):  
Werner Damm ◽  
Henning Dierks ◽  
Stefan Disch ◽  
Willem Hagemann ◽  
Florian Pigorsch ◽  
...  
Keyword(s):  
Hybrid Automata ◽  
State Spaces ◽  
Discrete State ◽  
Linear Hybrid Automata ◽  
Symbolic Verification

MARKOV Processes in General State Spaces

1978 ◽  
Vol 86 (1) ◽  
pp. 67-83 ◽  
Author(s):  
H. J. Engelbert
Keyword(s):  
Markov Processes ◽  
General State ◽  
State Spaces

MARKOV Processes in General State Spaces (Part I)

1977 ◽  
Vol 80 (1) ◽  
pp. 19-36 ◽  
Author(s):  
H. J. Engelbert
Keyword(s):  
Markov Processes ◽  
General State ◽  
State Spaces

scholarly journals On a Comparison Result for Markov Processes

2008 ◽  
Vol 45 (01) ◽  
pp. 279-286
Author(s):  
Ludger Rüschendorf
Keyword(s):  
Markov Processes ◽  
Comparison Theorem ◽  
General Class ◽  
Stochastic Monotonicity ◽  
Comparison Result ◽  
State Spaces ◽  
Stochastic Orderings ◽  
Infinitesimal Generators ◽  
Real Functions

A comparison theorem is stated for Markov processes in Polish state spaces. We consider a general class of stochastic orderings induced by a cone of real functions. The main result states that stochastic monotonicity of one process and comparability of the infinitesimal generators imply ordering of the processes. Several applications to convex type and to dependence orderings are given. In particular, Liggett's theorem on the association of Markov processes is a consequence of this comparison result.

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