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Volumn 48, Issue 3, 1996, Pages 551-561

Derivation of the probability distribution functions for succession quota random variables

Author keywords

Bernoulli trials; Binary sequence of order k; Longest run; Probability distribution function; Probability generating function; Sooner and later problems; Succession quota

Indexed keywords


EID: 0042140894     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00050854     Document Type: Article
Times cited : (11)

References (13)
  • 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
    • 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 Third 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 Third Pacific Area Statistical Conference , pp. 467-474
    • Aki, S.1    Hirano, K.2
  • 4
    • 38248999946 scopus 로고
    • Sooner and later waiting time problems for Markovian Bernoulli trials
    • Balasubramanian, K., Viveros, R. and Balakrishnan, N. (1993). Sooner and later waiting time problems for Markovian Bernoulli trials, Statist. Probab. Lett., 18, 153-161.
    • (1993) Statist. Probab. Lett. , vol.18 , pp. 153-161
    • Balasubramanian, K.1    Viveros, R.2    Balakrishnan, N.3
  • 7
    • 0001937701 scopus 로고
    • On the waiting time of appearance of given patterns
    • (eds. A. P. Godbole and S. G. Papastavridis), Kluwer, Dordrecht
    • Chryssaphinou, O., Papastavridis, S. and Tsapelas, T. (1994). On the waiting time of appearance of given patterns, Runs and Patterns in Probability (eds. A. P. Godbole and S. G. Papastavridis), 231-241, Kluwer, Dordrecht.
    • (1994) Runs and Patterns in Probability , pp. 231-241
    • Chryssaphinou, O.1    Papastavridis, S.2    Tsapelas, T.3
  • 8
    • 0001905028 scopus 로고
    • Sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
    • Ebneshahrashoob, M. and Sobel, M. (1990). Sooner and later waiting time problems for Bernoulli trials: frequency and run quotas, Statist. Probab. Lett., 9, 5-11.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 5-11
    • Ebneshahrashoob, M.1    Sobel, M.2
  • 11
    • 0001825238 scopus 로고
    • On the soonest and latest waiting time distributions: Succession quotas
    • Ling, K. D. and Low, T. Y. (1993). On the soonest and latest waiting time distributions: succession quotas, Comm. Statist. Theory Methods, 22, 2207-2221.
    • (1993) Comm. Statist. Theory Methods , vol.22 , pp. 2207-2221
    • Ling, K.D.1    Low, T.Y.2
  • 12
    • 0040443770 scopus 로고
    • Waiting for the k-th consecutive success and the Fibonacci sequence of order k
    • Philippou, A. N. and Muwafi, A. A. (1982). Waiting for the k-th consecutive success and the Fibonacci sequence of order k, Fibonacci Quart., 20, 28-32.
    • (1982) Fibonacci Quart. , vol.20 , pp. 28-32
    • Philippou, A.N.1    Muwafi, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.