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Discrete random bounds for general random variables and applications to reliability

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  • Mercier, Sophie

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  • Mercier, Sophie, 2007. "Discrete random bounds for general random variables and applications to reliability," European Journal of Operational Research, Elsevier, vol. 177(1), pages 378-405, February.
    • Handle: RePEc:eee:ejores:v:177:y:2007:i:1:p:378-405
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    References listed on IDEAS

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    1. Bon, Jean-Louis & Kalashnikov, Vladimir, 2001. "Some estimates of geometric sums," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 89-97, November.
    2. Constantine, A. G. & Robinson, N. I., 1997. "The Weibull renewal function for moderate to large arguments," Computational Statistics & Data Analysis, Elsevier, vol. 24(1), pages 9-27, March.
    3. Jean‐Louis Bon & Anne Philippe, 2004. "Numerical comparisons of approximations of geometric sums," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 20(1), pages 37-48, January.
    4. Glen A. G. & Evans D. L. & Leemis L. M., 2001. "APPL: A Probability Programming Language," The American Statistician, American Statistical Association, vol. 55, pages 156-166, May.
    5. Michael Tortorella, 2005. "Numerical Solutions of Renewal-Type Integral Equations," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 66-74, February.
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    Cited by:

    1. Sophie Mercier, 2008. "Numerical Bounds for Semi-Markovian Quantities and Application to Reliability," Methodology and Computing in Applied Probability, Springer, vol. 10(2), pages 179-198, June.
    2. van Noortwijk, J.M. & van der Weide, J.A.M., 2008. "Applications to continuous-time processes of computational techniques for discrete-time renewal processes," Reliability Engineering and System Safety, Elsevier, vol. 93(12), pages 1853-1860.
    3. Fernández, Arturo J., 2015. "Optimum attributes component test plans for k-out-of-n:F Weibull systems using prior information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 688-696.
    4. Robert Eymard & Sophie Mercier & Michel Roussignol, 2011. "Importance and Sensitivity Analysis in Dynamic Reliability," Methodology and Computing in Applied Probability, Springer, vol. 13(1), pages 75-104, March.
    5. Mercier, Sophie, 2008. "Bounds and approximations for continuous-time Markovian transition probabilities and large systems," European Journal of Operational Research, Elsevier, vol. 185(1), pages 216-234, February.

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