The Shannon information on a Markov chain approximately normally distributed
Richard O'Neil (1990)
Colloquium Mathematicae
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Richard O'Neil (1990)
Colloquium Mathematicae
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Margarita Karaliopoulou (2009)
ESAIM: Probability and Statistics
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Let a finite alphabet . We consider a sequence of letters from generated by a discrete time semi-Markov process We derive the probability of a word occurrence in the sequence. We also obtain results for the mean and variance of the number of overlapping occurrences of a word in a finite discrete time semi-Markov sequence of letters under certain conditions.
Brian Marcus, Selim Tuncel (1990)
Inventiones mathematicae
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Ebeling, Werner, Rateischak, Katja (1998)
Discrete Dynamics in Nature and Society
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Amy Glen, Jacques Justin (2009)
RAIRO - Theoretical Informatics and Applications
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In this paper, we survey the rich theory of infinite which generalize to any finite alphabet, in a rather resembling way, the well-known family of on two letters. After recalling definitions and basic properties, we consider that allow for a deeper study of these words. Some properties of factors are described, including factor complexity, palindromes, fractional powers, frequencies, and return words. We also consider lexicographical properties of episturmian words, as well as their...
L'ubomíra Balková, Edita Pelantová, Štěpán Starosta (2010)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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The properties characterizing sturmian words are considered for words on multiliteral alphabets. We summarize various generalizations of sturmian words to multiliteral alphabets and enlarge the list of known relationships among these generalizations. We provide a new equivalent definition of rich words and make use of it in the study of generalizations of sturmian words based on palindromes. We also collect many examples of infinite words to illustrate differences in the generalized...
Lino G. Marujo, Raad Y. Qassim (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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This work aims to fill a lacunae in the project-oriented production systems literature providing a formal analytic description of the rework effects formulae and the determination of the extended design time due to a certain degree of overlapping in a pair of activities. It is made through the utilization of concepts of workflow construction with hidden (semi) Markov models theory and establishing a way to disaggregate activities into sub-activities, in order to determine the activity...