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Volumn 53, Issue 3, 2001, Pages 576-598

Distributions of the numbers of failures and successes in a waiting time problem

Author keywords

Partial fraction expansions; Poisson limit theorems; Scan statistics; Success runs; Unimodality; Waiting times

Indexed keywords


EID: 6644226477     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014637600574     Document Type: Article
Times cited : (7)

References (17)
  • 1
    • 51249171814 scopus 로고
    • Discrete distributions of order k on a binary sequence
    • Aki, S. (1985). Discrete distributions of order k on a binary sequence, Ann. Inst. Statist. Math., 37, 205-224.
    • (1985) Ann. Inst. Statist. Math. , vol.37 , pp. 205-224
    • Aki, S.1
  • 2
    • 0012153450 scopus 로고
    • Distributions of numbers of failures and successes until the first consecutive k successes
    • Aki, S. and Hirano, K. (1994). Distributions of numbers of failures and successes until the first consecutive k successes, Ann. Inst. Statist. Math., 46, 193-202.
    • (1994) Ann. Inst. Statist. Math. , vol.46 , pp. 193-202
    • Aki, S.1    Hirano, K.2
  • 3
    • 0038643422 scopus 로고    scopus 로고
    • Distributions of the numbers of successes and failures until the occurrence of the r-th overlapping and non-overlapping success run of length k
    • Antzoulakos, D. L. and Philippou, A. N. (1996). Distributions of the numbers of successes and failures until the occurrence of the r-th overlapping and non-overlapping success run of length k, J. Indian Soc. Statist. Oper. Res., 17, 19-30.
    • (1996) J. Indian Soc. Statist. Oper. Res. , vol.17 , pp. 19-30
    • Antzoulakos, D.L.1    Philippou, A.N.2
  • 4
    • 9844254478 scopus 로고    scopus 로고
    • Joint distributions of number of success-runs and failures until the first consecutive k successes in a binary sequence
    • Balakrishnan, N, (1997). Joint distributions of number of success-runs and failures until the first consecutive k successes in a binary sequence, Ann. Inst. Statist. Math., 49, 519-529.
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 519-529
    • Balakrishnan, N.1
  • 6
    • 0000820528 scopus 로고    scopus 로고
    • Approximations and inequalities for the distribution of a scan statistic for 0-1 bernoulli trials
    • ed. N. Balakrishnan, Birkhäuser, Boston
    • Chen, J. and Glaz, J. (1997). Approximations and inequalities for the distribution of a scan statistic for 0-1 Bernoulli trials, Advances in Combinatorial Methods and Applications to Probability and Statistics (ed. N. Balakrishnan), 285-298, Birkhäuser, Boston.
    • (1997) Advances in Combinatorial Methods and Applications to Probability and Statistics , pp. 285-298
    • Chen, J.1    Glaz, J.2
  • 8
    • 0020749860 scopus 로고
    • Moving window detection for discrete-data
    • Glaz, J. (1983). Moving window detection for discrete-data, IEEE Trans. Inform. Theory, 29, 457-462.
    • (1983) IEEE Trans. Inform. Theory , vol.29 , pp. 457-462
    • Glaz, J.1
  • 9
    • 0007120637 scopus 로고
    • Approximations and bounds for the distribution of the scan statistic
    • Glaz, J. (1989). Approximations and bounds for the distribution of the scan statistic, J. Amer. Statist. Assoc., 84, 560-566.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 560-566
    • Glaz, J.1
  • 10
    • 0000770419 scopus 로고
    • Tight bounds and approximations for scan statistic probabilities for discrete data
    • Glaz, J. and Naus, J. (1991). Tight bounds and approximations for scan statistic probabilities for discrete data, Ann. Appl. Probab., 1, 306-318.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 306-318
    • Glaz, J.1    Naus, J.2
  • 11
    • 0008670093 scopus 로고
    • The first occurrence of n successes in N trials
    • Greenberg, I. (1970). The first occurrence of n successes in N trials, Technometrics, 12, 627-634.
    • (1970) Technometrics , vol.12 , pp. 627-634
    • Greenberg, I.1
  • 13
    • 0010992210 scopus 로고
    • Some results on discrete unimodality
    • Keilson, J. and Gerber, H. (1971). Some results on discrete unimodality, J. Amer. Statist. Assoc., 66, 386-389.
    • (1971) J. Amer. Statist. Assoc. , vol.66 , pp. 386-389
    • Keilson, J.1    Gerber, H.2
  • 14
    • 0009086170 scopus 로고    scopus 로고
    • On a waiting time distribution in a sequence of Bernoulli trials
    • Koutras, M. V. (1996). On a waiting time distribution in a sequence of Bernoulli trials, Ann. Inst. Statist. Math., 48, 789-806.
    • (1996) Ann. Inst. Statist. Math. , vol.48 , pp. 789-806
    • Koutras, M.V.1
  • 15
    • 0042587847 scopus 로고    scopus 로고
    • A start-up demonstration test using a simple scan-based statistic
    • eds. J. Glaz and N. Balakrishnan, Birkhäuser, Boston
    • Koutras, M. V. and Balakrishnan, N. (1999). A start-up demonstration test using a simple scan-based statistic, Scan Statistics and Applications (eds. J. Glaz and N. Balakrishnan), 251-267, Birkhäuser, Boston.
    • (1999) Scan Statistics and Applications , pp. 251-267
    • Koutras, M.V.1    Balakrishnan, N.2
  • 16
    • 0008995563 scopus 로고
    • Recurrent composite events
    • Leslie, R. T. (1967). Recurrent composite events, J. Appl. Probab., 4, 34-61.
    • (1967) J. Appl. Probab. , vol.4 , pp. 34-61
    • Leslie, R.T.1
  • 17
    • 0001303248 scopus 로고
    • On the occurrence of n successes within N Bernoulli trials
    • Saperstein, B. (1973). On the occurrence of n successes within N Bernoulli trials, Technometrics, 15, 809-818.
    • (1973) Technometrics , vol.15 , pp. 809-818
    • Saperstein, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.