메뉴 건너뛰기




Volumn 40, Issue 4, 2003, Pages 881-892

The intersite distances between pattern occurrences in strings generated by general discrete- and continuous-time models: An algorithmic approach

Author keywords

Pattern; Probability generating function; Random sum; Semi Markov process

Indexed keywords


EID: 0442323012     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1067436088     Document Type: Article
Times cited : (20)

References (21)
  • 1
    • 0035596069 scopus 로고    scopus 로고
    • Waiting times for patterns in a sequence of multistate trials
    • ANTZOULAKOS, D. L. (2001). Waiting times for patterns in a sequence of multistate trials. J. Appl. Prob. 38, 508-518.
    • (2001) J. Appl. Prob. , vol.38 , pp. 508-518
    • Antzoulakos, D.L.1
  • 3
    • 0001910824 scopus 로고
    • A note on repeated sequences in Markov chains
    • BIGGINS, J. D. (1987). A note on repeated sequences in Markov chains. Adv. Appl. Prob. 19, 739-742.
    • (1987) Adv. Appl. Prob. , vol.19 , pp. 739-742
    • Biggins, J.D.1
  • 4
    • 0001616513 scopus 로고
    • Markov renewal processes, counters and repeated sequences in Markov chains
    • BIGGINS, J. D. AND CANNINGS, C. (1987). Markov renewal processes, counters and repeated sequences in Markov chains. Adv. Appl. Prob. 19, 521-545.
    • (1987) Adv. Appl. Prob. , vol.19 , pp. 521-545
    • Biggins, J.D.1    Cannings, C.2
  • 5
    • 0020179938 scopus 로고
    • How many random digits are required until given sequences are obtained?
    • BLOM, G. AND THORBURN, D. (1982). How many random digits are required until given sequences are obtained? J. Appl. Prob. 19, 518-531.
    • (1982) J. Appl. Prob. , vol.19 , pp. 518-531
    • Blom, G.1    Thorburn, D.2
  • 6
    • 0034266845 scopus 로고    scopus 로고
    • Joint distributions of successes, failures and patterns in enumeration problems
    • CHADJICONSTANTINIDIS, S., ANTZOULAKOS, D. L. AND KOUTRAS, M. V. (2000). Joint distributions of successes, failures and patterns in enumeration problems. Adv. Appl. Prob. 32, 866-884.
    • (2000) Adv. Appl. Prob. , vol.32 , pp. 866-884
    • Chadjiconstantinidis, S.1    Antzoulakos, D.L.2    Koutras, M.V.3
  • 7
    • 0001800887 scopus 로고
    • The occurrence of a sequence of patterns in repeated dependent experiments
    • CHRYSSAPHINOU, O. AND PAPASTAVRIDIS, S. (1990). The occurrence of a sequence of patterns in repeated dependent experiments. Theory Prob. Appl. 35, 167-173.
    • (1990) Theory Prob. Appl. , vol.35 , pp. 167-173
    • Chryssaphinou, O.1    Papastavridis, S.2
  • 10
    • 21444442040 scopus 로고    scopus 로고
    • Distribution theory of runs and patterns associated with a sequence of multistate trials
    • Fu, J. C. (1996). Distribution theory of runs and patterns associated with a sequence of multistate trials. Statistics Sinica 6, 957-974.
    • (1996) Statistics Sinica , vol.6 , pp. 957-974
    • Fu, J.C.1
  • 11
    • 0035998642 scopus 로고    scopus 로고
    • On probability generating functions for waiting time distributions of compound patterns in a sequence of multistate trials
    • Fu, J. C. AND CHANG, Y. M. (2002). On probability generating functions for waiting time distributions of compound patterns in a sequence of multistate trials. J. Appl. Prob. 39, 70-80.
    • (2002) J. Appl. Prob. , vol.39 , pp. 70-80
    • Fu, J.C.1    Chang, Y.M.2
  • 12
    • 0013695809 scopus 로고
    • The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain
    • GERBER, H. AND LI, S.-Y. R. (1981). The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain. Stoch. Process. Appl. 11, 101-108.
    • (1981) Stoch. Process. Appl. , vol.11 , pp. 101-108
    • Gerber, H.1    Li, S.-Y.R.2
  • 13
    • 34250201608 scopus 로고
    • String overlaps, pattern matching, and nontransitive games
    • GUIBAS, L. J. AND ODLYZKO, A. M. (1981). String overlaps, pattern matching, and nontransitive games. J. Combinatorial Theory A 30, 183-208.
    • (1981) J. Combinatorial Theory A , vol.30 , pp. 183-208
    • Guibas, L.J.1    Odlyzko, A.M.2
  • 15
    • 0001530766 scopus 로고
    • A martingale approach to the study of occurrence of sequence patterns in repeated experiments
    • LI, S.-Y. R. (1980). A martingale approach to the study of occurrence of sequence patterns in repeated experiments. Ann. Prob. 8, 1171-1176.
    • (1980) Ann. Prob. , vol.8 , pp. 1171-1176
    • Li, S.-Y.R.1
  • 16
    • 0034125366 scopus 로고    scopus 로고
    • Probabilistic and statistical properties of words: An overview
    • REINERT, G., SCHBATH, S. AND WATERMAN, M. (2000). Probabilistic and statistical properties of words: an overview. J. Comput. Biol. 7, 1-46.
    • (2000) J. Comput. Biol. , vol.7 , pp. 1-46
    • Reinert, G.1    Schbath, S.2    Waterman, M.3
  • 17
    • 0033238297 scopus 로고    scopus 로고
    • Exact distribution of word occurrences in a random sequence of letters
    • ROBIN, S. AND DAUDIN, J. (1999). Exact distribution of word occurrences in a random sequence of letters. J. Appl. Prob. 36, 179-193.
    • (1999) J. Appl. Prob. , vol.36 , pp. 179-193
    • Robin, S.1    Daudin, J.2
  • 18
    • 0034337841 scopus 로고    scopus 로고
    • On some waiting time problems
    • STEFANOV, V. T. (2000). On some waiting time problems. J. Appl. Prob. 37, 756-764.
    • (2000) J. Appl. Prob. , vol.37 , pp. 756-764
    • Stefanov, V.T.1
  • 19
    • 0031526698 scopus 로고    scopus 로고
    • Explicit distributional results in pattern formation
    • STEFANOV, V. T. AND PAKES, A. G. (1997). Explicit distributional results in pattern formation. Ann. Appl. Prob. 7, 666-678.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 666-678
    • Stefanov, V.T.1    Pakes, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.