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Volumn 52, Issue 4, 2000, Pages 778-789

Waiting time problems in a two-state Markov chain

Author keywords

Discrete distributions of order k; Markov chain; Markov chain imbedding method; Probability generating function; Waiting time problems

Indexed keywords


EID: 6744242016     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017537629251     Document Type: Article
Times cited : (9)

References (32)
  • 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
    • 0001120244 scopus 로고    scopus 로고
    • Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials
    • Aki, S., Balakrishnan, N. and Mohanty, S. G. (1996). Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials, Ann. Inst. Statist. Math., 48, 773-787.
    • (1996) Ann. Inst. Statist. Math. , vol.48 , pp. 773-787
    • Aki, S.1    Balakrishnan, N.2    Mohanty, S.G.3
  • 5
    • 0042140894 scopus 로고    scopus 로고
    • Derivation of the probability distribution functions for succession quota random variables
    • Antzoulakos, D. L. and Philippou, A. N. (1996). Derivation of the probability distribution functions for succession quota random variables, Ann. Inst. Statist. Math., 48, 551-561.
    • (1996) Ann. Inst. Statist. Math. , vol.48 , pp. 551-561
    • Antzoulakos, D.L.1    Philippou, A.N.2
  • 6
    • 9844261158 scopus 로고    scopus 로고
    • Probability distribution functions of succession quotas in the case of Markov dependent trials
    • Antzoulakos, D. L. and Philippou, A. N. (1997). Probability distribution functions of succession quotas in the case of Markov dependent trials, Ann. Inst. Statist. Math., 49, 531-539.
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 531-539
    • Antzoulakos, D.L.1    Philippou, A.N.2
  • 7
    • 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
  • 8
    • 0041691638 scopus 로고
    • Start-up demonstration tests under correlation and corrective action
    • Balakrishnan, N., Balasubramanian, K. and Viveros, R. (1995). Start-up demonstration tests under correlation and corrective action, Naval Res. Logist., 42, 1271-1276.
    • (1995) Naval Res. Logist. , vol.42 , pp. 1271-1276
    • Balakrishnan, N.1    Balasubramanian, K.2    Viveros, R.3
  • 9
    • 9844232035 scopus 로고    scopus 로고
    • Start-up demonstration tests under Markov dependence model with corrective actions
    • Balakrishnan, N., Mohanty, S. G. and Aki, S. (1997). Start-up demonstration tests under Markov dependence model with corrective actions, Ann. Inst. Statist. Math., 49, 155-169.
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 155-169
    • Balakrishnan, N.1    Mohanty, S.G.2    Aki, S.3
  • 10
    • 0029274603 scopus 로고
    • Survey of reliability studies of consecutive-k-out-of-n: F & related systems
    • Chao, M. T., Fu, J. C. and Koutras, M. V. (1995). Survey of reliability studies of consecutive-k-out-of-n: F & related systems, IEEE Transactions on Reliability, 40, 120-127.
    • (1995) IEEE Transactions on Reliability , vol.40 , pp. 120-127
    • Chao, M.T.1    Fu, J.C.2    Koutras, M.V.3
  • 11
    • 0032138303 scopus 로고    scopus 로고
    • On the joint distribution of runs in a sequence of multi-state trials
    • Doi, M. and Yamamoto, E. (1998). On the joint distribution of runs in a sequence of multi-state trials, Statist. Probab. Lett., 39 133-141.
    • (1998) Statist. Probab. Lett. , vol.39 , pp. 133-141
    • Doi, M.1    Yamamoto, E.2
  • 12
    • 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
  • 14
    • 21444442040 scopus 로고    scopus 로고
    • Distribution theory of runs and patterns associated with a sequence of multi-state trials
    • Fu, J. C. (1996). Distribution theory of runs and patterns associated with a sequence of multi-state trials, Statist. Sinica, 6, 957-974.
    • (1996) Statist. Sinica , vol.6 , pp. 957-974
    • Fu, J.C.1
  • 15
    • 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
  • 16
    • 0042693500 scopus 로고
    • Poisson approximation and DNA sequence matching
    • Goldstein, L. (1990). Poisson approximation and DNA sequence matching, Comm. Statist. Theory Methods, 19, 4167-4179.
    • (1990) Comm. Statist. Theory Methods , vol.19 , pp. 4167-4179
    • Goldstein, L.1
  • 17
    • 6544244576 scopus 로고    scopus 로고
    • Joint distributions of runs in a sequence of Multi-state trials
    • Han, Q. and Aki, S. (1999). Joint distributions of runs in a sequence of Multi-state trials, Ann. Inst. Statist. Math., 51, 419-447.
    • (1999) Ann. Inst. Statist. Math. , vol.51 , pp. 419-447
    • Han, Q.1    Aki, S.2
  • 18
    • 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
  • 19
    • 9844259463 scopus 로고    scopus 로고
    • Waiting time distributions associated with runs of fixed length in two-state Markov chains
    • Koutras, M. V. (1997). Waiting time distributions associated with runs of fixed length in two-state Markov chains, Ann. Inst. Statist. Math., 49, 123-139.
    • (1997) Ann. Inst. Statist. Math. , vol.49 , pp. 123-139
    • Koutras, M.V.1
  • 20
    • 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
  • 21
    • 0031224048 scopus 로고    scopus 로고
    • Sooner waiting time problems in a sequence of trinary trials
    • Koutras, M. V. and Alexandrou, V. A. (1997). Sooner waiting time problems in a sequence of trinary trials, J. Appl. Probab., 34, 593-609.
    • (1997) J. Appl. Probab. , vol.34 , pp. 593-609
    • Koutras, M.V.1    Alexandrou, V.A.2
  • 23
    • 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
  • 25
    • 0042192342 scopus 로고
    • A generalization of the sooner and later waiting time problems for Bernoulli trials: Frequency and run quotas
    • Ling, K. D. (1992). A generalization of the sooner and later waiting time problems for Bernoulli trials: frequency and run quotas, Statist. Probab. Lett., 9, 5-11.
    • (1992) Statist. Probab. Lett. , vol.9 , pp. 5-11
    • Ling, K.D.1
  • 26
    • 0001825238 scopus 로고
    • On the soonest and latest waitig time distributions: Succession quotas
    • Ling, K. D. and Low, T. Y. (1993). On the soonest and latest waitig 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
  • 27
    • 0037967195 scopus 로고
    • Success runs of length k in Markov dependent trials
    • Mohanty, S. G. (1994). Success runs of length k in Markov dependent trials, Ann. Inst. Statist. Math., 46, 777-796.
    • (1994) Ann. Inst. Statist. Math. , vol.46 , pp. 777-796
    • Mohanty, S.G.1
  • 28
    • 84980148730 scopus 로고
    • The negative binomial distribution of order k and some of its properties
    • Philippou, A. N. (1984). The negative binomial distribution of order k and some of its properties, Biometrical J., 26, 789-794.
    • (1984) Biometrical J. , vol.26 , pp. 789-794
    • Philippou, A.N.1
  • 29
    • 0000691260 scopus 로고
    • A generalized geometric distribution and some of its properties
    • Philippou, A. N., Georghiou, C. and Philippou, G. N. (1983). A generalized geometric distribution and some of its properties, Statist. Probab. Lett.. 1, 171-175.
    • (1983) Statist. Probab. Lett.. , vol.1 , pp. 171-175
    • Philippou, A.N.1    Georghiou, C.2    Philippou, G.N.3
  • 30
    • 0003652674 scopus 로고
    • Wadsworth & Brooks/ Cole, California
    • Stanley, R. P. (1986). Enumerative Combinatorics, Volume I, Wadsworth & Brooks/ Cole, California.
    • (1986) Enumerative Combinatorics , vol.1
    • Stanley, R.P.1
  • 31
    • 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.