May 2014
Intermediate to advanced
258 pages
6h 11m
English
Content preview from Markov Chains: Analytic and Monte Carlo Computations
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Appendix A
Complements
A.1 Basic probabilistic notions
A.1.1 Discrete random variable, expectation, and generating function
A.1.1.1 General random variable and its law
A probability space 
will be considered throughout. In general, an r.v. with values in a measurable state space 
is a measurable function
Then, for every measurable subset 
of 
, it holds that
The law of 
is the probability measure defined on 
by 
and, more concretely, for measurable subsets 
, by
A.1.1.2 Random variable with ...
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