DocumentCode :
3050524
Title :
On pattern frequency occurrences in a Markovian sequence
Author :
Régnier, Mireille ; Szpankowski, Wojciech
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
fYear :
1997
fDate :
29 Jun-4 Jul 1997
Firstpage :
310
Abstract :
Consider a given pattern and a random text generated by a Markovian source of any order. We study the frequency of pattern occurrences in a random text when overlapping copies of the pattern are counted separately. More precisely: we consider two strings, a given pattern string H=h1h2....hm and a random text string T=t1t2...tn of respective lengths equal to m and n over an alphabet S of size V. The results for the Markovian model are summarized in two theorems
Keywords :
Markov processes; pattern matching; random processes; sequences; word processing; Markovian model; Markovian sequence; Markovian source; alphabet size; overlapping copies; pattern frequency occurrences; pattern matching; pattern strings; random text string; string lengths; theorems; Autocorrelation; Collaboration; Computer aided software engineering; Computer science; Frequency; Pattern matching; Polynomials; Random variables; Reactive power;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
Type :
conf
DOI :
10.1109/ISIT.1997.613234
Filename :
613234
Link To Document :
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