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Lifetime distribution and estimation problems of consecutive-k-out-of-n:F systems

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  • Sigeo Aki
  • Katuomi Hirano

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  • Sigeo Aki & Katuomi Hirano, 1996. "Lifetime distribution and estimation problems of consecutive-k-out-of-n:F systems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(1), pages 185-199, March.
    • Handle: RePEc:spr:aistmt:v:48:y:1996:i:1:p:185-199
    DOI: 10.1007/BF00049298
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    References listed on IDEAS

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    1. S. Aki & K. Hirano, 1989. "Estimation of parameters in the discrete distributions of order k," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 41(1), pages 47-61, March.
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    Citations

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    Cited by:

    1. Masayuki Uchida, 1998. "Joint Distributions of Numbers of Success-runs Until the First Consecutive k Successes in a Higher-Order Two-State Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(2), pages 203-222, June.
    2. Sigeo Aki, 1999. "Distributions of Runs and Consecutive Systems on Directed Trees," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(1), pages 1-15, March.
    3. Eryilmaz, Serkan, 2011. "Estimation in coherent reliability systems through copulas," Reliability Engineering and System Safety, Elsevier, vol. 96(5), pages 564-568.
    4. M. G. Kulkarni & M. B. Rajarshi, 2020. "Estimation of parameters of component lifetime distribution in a coherent system," Statistical Papers, Springer, vol. 61(1), pages 403-421, February.
    5. Kiyoshi Inoue & Sigeo Aki, 2013. "Distributions of numbers of runs and scans on directed acyclic graphs with generation," Computational Statistics, Springer, vol. 28(3), pages 1133-1150, June.
    6. He Yi & Lirong Cui, 2018. "A new computation method for signature: Markov process method," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(5), pages 410-426, August.
    7. Eryılmaz, Serkan, 2009. "Reliability properties of consecutive k-out-of-n systems of arbitrarily dependent components," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 350-356.
    8. Sonali Bhattacharya, 2018. "Some Identities based on Success Runs of at Least Length k," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 4(2), pages 39-43, January.

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