Bibliography on Markov chains with a general state space
Zbyněk Šidák (1976)
Aplikace matematiky
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Zbyněk Šidák (1976)
Aplikace matematiky
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Joseph Glover (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Michael Lin (1976)
Annales de l'I.H.P. Probabilités et statistiques
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Laurent Mazliak (2007)
Revue d'histoire des mathématiques
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We present the letters sent by Wolfgang Doeblin to Bohuslav Hostinský between 1936 and 1938. They concern some aspects of the general theory of Markov chains and the solutions of the Chapman-Kolmogorov equation that Doeblin was then establishing for his PhD thesis.
Maria Jankiewicz (1978)
Applicationes Mathematicae
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Tomasz R. Bielecki, Jacek Jakubowski, Mariusz Niewęgłowski (2015)
Banach Center Publications
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In this paper we study finite state conditional Markov chains (CMCs). We give two examples of CMCs, one which admits intensity, and another one, which does not admit an intensity. We also give a sufficient condition under which a doubly stochastic Markov chain is a CMC. In addition we provide a method for construction of conditional Markov chains via change of measure.
Marius Losifescu (1979)
Banach Center Publications
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Rajmund Drenyovszki, Lóránt Kovács, Kálmán Tornai, András Oláh, István Pintér (2017)
Kybernetika
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In our paper we investigate the applicability of independent and identically distributed random sequences, first order Markov and higher order Markov chains as well as semi-Markov processes for bottom-up electricity load modeling. We use appliance time series from publicly available data sets containing fine grained power measurements. The comparison of models are based on metrics which are supposed to be important in power systems like Load Factor, Loss of Load Probability. Furthermore,...
Anzelm Iwanik (1987)
Colloquium Mathematicum
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