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Volumn 5, Issue 2, 1996, Pages 139-159

A phase transition for the distribution of matching blocks

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EID: 17644389210     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548300001930     Document Type: Article
Times cited : (13)

References (15)
  • 1
    • 0000430173 scopus 로고
    • Critical phenomena in sequence matching
    • Arratia, R. and Waterman, M. S. (1985). Critical phenomena in sequence matching. Ann. Probab. 13, 1236-1249.
    • (1985) Ann. Probab. , vol.13 , pp. 1236-1249
    • Arratia, R.1    Waterman, M.S.2
  • 3
    • 0000960430 scopus 로고
    • The Erdös-Rényi law in distribution, for coin tossing and sequence matching
    • Arratia, R., Gordon, L. and Waterman, M. S. (1990). The Erdös-Rényi law in distribution, for coin tossing and sequence matching, Ann. Statist. 18, 539-570.
    • (1990) Ann. Statist. , vol.18 , pp. 539-570
    • Arratia, R.1    Gordon, L.2    Waterman, M.S.3
  • 4
    • 51249188285 scopus 로고
    • On a new law of large numbers
    • Erdös, P. and Rényi, A. (1970). On a new law of large numbers, J. Anal. Math. 22, 103-111.
    • (1970) J. Anal. Math. , vol.22 , pp. 103-111
    • Erdös, P.1    Rényi, A.2
  • 5
    • 0002005293 scopus 로고
    • Two moments suffice for Poisson approximations: The Chen-Stein method
    • Arratia, R., Goldstein, L. and Gordon, L. (1989). Two moments suffice for Poisson approximations: The Chen-Stein method, Ann. Probab. 17, 9-25.
    • (1989) Ann. Probab. , vol.17 , pp. 9-25
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 6
    • 0000051438 scopus 로고
    • An extreme value theory for sequence matching
    • Arratia, R., Gordon, L. and Waterman, M. S. (1986). An extreme value theory for sequence matching, Ann. Statist. 14, 971-993.
    • (1986) Ann. Statist. , vol.14 , pp. 971-993
    • Arratia, R.1    Gordon, L.2    Waterman, M.S.3
  • 7
    • 0000179861 scopus 로고
    • Counts of long aligned word matches among random letter sequences
    • Karlin, S. and Ost, F. (1987). Counts of long aligned word matches among random letter sequences, Adv. Applic. Probab. 19, 293-351.
    • (1987) Adv. Applic. Probab. , vol.19 , pp. 293-351
    • Karlin, S.1    Ost, F.2
  • 9
    • 0000457248 scopus 로고
    • A bound for the error in the normal approximations to the distribution of a sum of dependent random variables
    • Stein, C. M. (1971). A bound for the error in the normal approximations to the distribution of a sum of dependent random variables, Proc. Sixth Berkeley Symp. Math. Statist. Probab. 3, 583-602.
    • (1971) Proc. Sixth Berkeley Symp. Math. Statist. Probab. , vol.3 , pp. 583-602
    • Stein, C.M.1
  • 10
    • 0001067389 scopus 로고
    • Poisson approximation for dependent trials
    • Chen, L. H. Y. (1975). Poisson approximation for dependent trials, Ann. Probab. 3, 534-545.
    • (1975) Ann. Probab. , vol.3 , pp. 534-545
    • Chen, L.H.Y.1
  • 14
    • 0020179938 scopus 로고
    • How many digits are required until given sequences are obtained?
    • Blom, G. and Thorburn D. (1982). How many digits are required until given sequences are obtained? J. Appl. Probab. 19, 518-531.
    • (1982) J. Appl. Probab. , vol.19 , pp. 518-531
    • Blom, G.1    Thorburn, D.2
  • 15
    • 0013673625 scopus 로고
    • A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials
    • Chryssaphinou, O. and Papastavridis, S. (1988). A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials, J. Appl. Probab. 25, 428-431.
    • (1988) J. Appl. Probab. , vol.25 , pp. 428-431
    • Chryssaphinou, O.1    Papastavridis, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.