Markov chain Monte Carlo in practice
by Spiegelhalter, D. J., Gilks, W. R., Richardson, S.
"The purpose of this book is to study the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence conditions, the ergodic theorem for additive functionals of a Markov chain asserts the al…
This volume provides a systematic treatment of time-dependent strong Markov processes with values in a Polish space. It describes its generators and the link with stochastic differential equations in infinite dimensions.
In this rigorous account the author studies both discrete-time and continuous-time chains . A distinguishing feature is an introduction to more advanced topics such as martingales and potentials, in the established context of Markov chains. There are applications to simulation, …
Gaussian processes
by Hida, Takeyuki, Hitsuda, Masuyuki
fromTranslations of mathematical monographs