id: 02200832
dt: j
an: 02200832
au: Chaudhuri, Gopal
ti: A lower confidence limit for reliability of a coherent system with
    independent exponential components.
so: Calcutta Stat. Assoc. Bull. 55, No. 217-218, 119-127 (2004).
py: 2004
pu: Calcutta Statistical Association c/o Department of Statistics, Calcutta
    University, Kolkata, West Bengal, India
la: EN
cc: 
ut: structure function; coherent structure; CHA algorithm; confidence interval;
    system reliability
ci: 
li: 
ab: Summary: We solve an oldest open problem of finding interval estimates for
    system reliability via the {\it Chaudhuri, Hu} and {\it Afshar}
    algorithm [IEEE Trans. Reliab. 50, 75‒84 (2001)] following the {\it
    R. G. Easterling} [J. Am. Stat. Assoc. 67, 220‒222 (1972)] approach.
    We consider a coherent system composed of exponential components; the
    components are assumed to be statistically independent. A closed form
    expression for the standard error of the system reliability, for a
    given mission of duration, is obtained. The method of calculating the
    $100(1-α)\%$ lower confidence limit for the system reliability is
    illustrated for a simple series system with three independent
    exponential components. Both methods of simulation and numerical
    integration techniques are used for calculations. This paper basically
    extends the results of Easterling to any coherent system.
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