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Volumn 51, Issue 3, 1999, Pages 419-447

Joint distributions of runs in a sequence of multi-state trials

Author keywords

Distributions of order k; Markov chain imbedding; Multi state trials; Probability generating function; Run statistics; Waiting time problem

Indexed keywords


EID: 6544244576     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003941920316     Document Type: Article
Times cited : (36)

References (21)
  • 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
    • 0001295205 scopus 로고
    • Waiting time problems for a sequence of discrete random variables
    • Aki, S. (1992). Waiting time problems for a sequence of discrete random variables, Ann. Inst. Statist. Math., 44, 363-378.
    • (1992) Ann. Inst. Statist. Math. , vol.44 , pp. 363-378
    • Aki, S.1
  • 3
    • 0010048603 scopus 로고
    • Some characteristics of the binomial distribution of order k and related distributions
    • ed. K. Matusita, Elsevier Science Publishers B.V., North-Holland
    • Aki, S. and Hirano, K. (1988). Some characteristics of the binomial distribution of order k and related distributions, Statistical Theory and Data Analysis II; Proceedings of the 2nd Pacific Area Statistical Conference (ed. K. Matusita), 211-222, Elsevier Science Publishers B.V., North-Holland.
    • (1988) Statistical Theory and Data Analysis II; Proceedings of the 2nd Pacific Area Statistical Conference , pp. 211-222
    • Aki, S.1    Hirano, K.2
  • 4
    • 0002927374 scopus 로고
    • Discrete distributions related to succession events in a two-state Markov chain
    • eds. K. Matusita, M. L. Puri and T. Hayakawa, VSP International Science Publishers, Zeist
    • Aki, S. and Hirano, K. (1993). Discrete distributions related to succession events in a two-state Markov chain, Statistical Sciences and Data Analysis; Proceedings of the 3rd Pacific Area Statistical Conference (eds. K. Matusita, M. L. Puri and T. Hayakawa), 467-474, VSP International Science Publishers, Zeist.
    • (1993) Statistical Sciences and Data Analysis; Proceedings of the 3rd Pacific Area Statistical Conference , pp. 467-474
    • Aki, S.1    Hirano, K.2
  • 6
    • 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, Statist. Sinica, 6, 957-974.
    • (1996) Statist. Sinica , vol.6 , pp. 957-974
    • Fu, J.C.1
  • 7
    • 84950460234 scopus 로고
    • Distribution theory of runs: A Markov chain approach
    • Fu, J. C. and Koutras, M. V. (1994). Distribution theory of runs: A Markov chain approach, J. Amer. Statist. Assoc., 89, 1050-1058.
    • (1994) J. Amer. Statist. Assoc. , vol.89 , pp. 1050-1058
    • Fu, J.C.1    Koutras, M.V.2
  • 8
    • 0002742798 scopus 로고
    • Some properties of the distributions of order k
    • eds. A. N. Philippou, A. F. Horadam and G. E. Bergum, Reidel, Dordrecht
    • Hirano, K. (1986). Some properties of the distributions of order k, Fibonacci Numbers and Their Applications (eds. A. N. Philippou, A. F. Horadam and G. E. Bergum), 43-53, Reidel, Dordrecht.
    • (1986) Fibonacci Numbers and Their Applications , pp. 43-53
    • Hirano, K.1
  • 9
    • 0000265623 scopus 로고
    • On number of occurrences of success runs of specified length in a two-state Markov chain
    • Hirano, K. and Aki, S. (1993). On number of occurrences of success runs of specified length in a two-state Markov chain, Statist. Sinica, 3, 313-320.
    • (1993) Statist. Sinica , vol.3 , pp. 313-320
    • Hirano, K.1    Aki, S.2
  • 10
    • 0001681315 scopus 로고
    • On Ling's binomial and negative binomial distributions of order k
    • Hirano, K., Aki, S., Kashiwagi, N. and Kuboki, H. (1991). On Ling's binomial and negative binomial distributions of order k, Statist. Probab. Lett., 11, 503-509.
    • (1991) Statist. Probab. Lett. , vol.11 , pp. 503-509
    • Hirano, K.1    Aki, S.2    Kashiwagi, N.3    Kuboki, H.4
  • 11
    • 0029427524 scopus 로고
    • Runs, scans and urn model distributions: A unified Markov chain approach
    • Koutras, M. V. and Alexandrou, V. A. (1995). Runs, scans and urn model distributions: A unified Markov chain approach, Ann. Inst. Statist. Math., 47, 743-766.
    • (1995) Ann. Inst. Statist. Math. , vol.47 , pp. 743-766
    • Koutras, M.V.1    Alexandrou, V.A.2
  • 12
    • 0031224048 scopus 로고    scopus 로고
    • Sooner waiting time problems in a sequence of trinomial trials
    • Koutras, M. V. and Alexandrou, V. A. (1997). Sooner waiting time problems in a sequence of trinomial trials, J. Appl. Probab., 34, 593-609.
    • (1997) J. Appl. Probab. , vol.34 , pp. 593-609
    • Koutras, M.V.1    Alexandrou, V.A.2
  • 13
    • 38249022168 scopus 로고
    • On binomial distributions of order k
    • Ling, K. D. (1988). On binomial distributions of order k, Statist. Probab. Lett., 6, 247-250.
    • (1988) Statist. Probab. Lett. , vol.6 , pp. 247-250
    • Ling, K.D.1
  • 14
    • 38249023497 scopus 로고
    • A new class of negative binomial distributions of order k
    • Ling, K. D. (1989). A new class of negative binomial distributions of order k, Statist. Probab. Lett., 7, 371-376.
    • (1989) Statist. Probab. Lett. , vol.7 , pp. 371-376
    • Ling, K.D.1
  • 15
    • 0001825238 scopus 로고
    • On the soonest and latest waiting time distributions: Succession quotas
    • Ling, K. D. and Low, T. (1993). On the soonest and latest waiting time distributions: Succession quotas, Comm. Statist. Theory Methods, 22(8), 2207-2221.
    • (1993) Comm. Statist. Theory Methods , vol.22 , Issue.8 , pp. 2207-2221
    • Ling, K.D.1    Low, T.2
  • 16
    • 0001450383 scopus 로고
    • The distribution theory of runs
    • Mood, A. M. (1940). The distribution theory of runs, Ann. Math. Siatist., 11, 367-392.
    • (1940) Ann. Math. Siatist. , vol.11 , pp. 367-392
    • Mood, A.M.1
  • 17
    • 0043039141 scopus 로고
    • Distributions and Fibonacci polynomials of order k, longest runs, and reliability of consecutive-k-out-of-n: F systems
    • eds. A. N. Philippou, G. E. Bergum and A. F. Horadam, Reidel, Dordrecht
    • Philippou, A. N. (1986). Distributions and Fibonacci polynomials of order k, longest runs, and reliability of consecutive-k-out-of-n: F systems, Fibonacci Numbers and Their Applications (eds. A. N. Philippou, G. E. Bergum and A. F. Horadam), 203-227, Reidel, Dordrecht.
    • (1986) Fibonacci Numbers and Their Applications , pp. 203-227
    • Philippou, A.N.1
  • 20
    • 0000558075 scopus 로고
    • Run probabilities in sequences of Markov-Dependent trials
    • Schwager, S. J. (1983). Run probabilities in sequences of Markov-Dependent trials, J. Amer. Statist. Assoc., 78, 168-175.
    • (1983) J. Amer. Statist. Assoc. , vol.78 , pp. 168-175
    • Schwager, S.J.1
  • 21
    • 0000994957 scopus 로고
    • Sooner and later waiting time problems in a two-state Markov chain
    • Uchida, M. and Aki, S. (1995). Sooner and later waiting time problems in a two-state Markov chain, Ann. Inst. Statist. Math., 47, 415-433.
    • (1995) Ann. Inst. Statist. Math. , vol.47 , pp. 415-433
    • Uchida, M.1    Aki, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.