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Markov chain
Continuous-time Markov chain
Transition semigroup of a continuous-time Markov chain
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For a finite-state
continuous-time Markov chain
with
Q-matrix
Q
, the backward and forward equations are
P
′
(
t
)
=
QP
(
t
)
and
P
′
(
t
)
=
P
(
t
)
Q
, respectively.
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(8)
Transition semigroup of a continuous-time Markov chain
Continuous-time Markov chain
Markov chain
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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