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L. R. Whitaker and F. J. Samaniego, “Estimating the Reliability of Systems Subject to Imperfect Repair,” Journal of American Statistical Association, Vol. 84, No. 405, 1989, pp. 301-309. doi:10.1080/01621459.1989.10478770

has been cited by the following article:

• TITLE: Four Common Properties of Repairable Systems Calculated with the Boltzmann-Like Entropy

  AUTHORS: Paolo Rocchi, Gurami Tsitsiashvili

  KEYWORDS: Repairable System; Boltzmann-Like Entropy

  JOURNAL NAME: Applied Mathematics, Vol.3 No.12A, December 31, 2012

  ABSTRACT: Gnedenko, the father of the modern Reliability Theory, first derived some fundamental properties of reliable systems following rigid deductive logic. This paper shares the deductive method and infers four principal properties of repairable/maintainable systems using the Boltzmann-like entropy. In particular we calculate the reparability function and next discuss the physical meanings of the formal results. Lastly we comment on the broad range of applications and researches which can relate to this study.