Two approximations of renewal function for any arbitrary lifetime distribution
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DOI: 10.1007/s10479-019-03356-2
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- Renyan Jiang, 2015. "Introduction to Quality and Reliability Engineering," Springer Series in Reliability Engineering, Springer, edition 127, number 978-3-662-47215-6, September.
- 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.
- Daley, D.J. & Vesilo, Rein, 1997. "Long range dependence of point processes, with queueing examples," Stochastic Processes and their Applications, Elsevier, vol. 70(2), pages 265-282, October.
- S. Zacks, 2010. "The Availability and Hazard of a System Under a Cumulative Damage Process With Replacements," Methodology and Computing in Applied Probability, Springer, vol. 12(4), pages 555-565, December.
- Jiang, R., 2018. "Performance evaluation of seven optimization models of age replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 302-311.
- Parsa, Hossein & Jin, Mingzhou, 2013. "An improved approximation for the renewal function and its integral with an application in two-echelon inventory management," International Journal of Production Economics, Elsevier, vol. 146(1), pages 142-152.
- Jiang, R., 2010. "A simple approximation for the renewal function with an increasing failure rate," Reliability Engineering and System Safety, Elsevier, vol. 95(9), pages 963-969.
- Behzad Ghodrati, 2011. "Efficient Product Support—Optimum and Realistic Spare Parts Forecasting," Springer Series in Reliability Engineering, in: Lotfi Tadj & M.-Salah Ouali & Soumaya Yacout & Daoud Ait-Kadi (ed.), Replacement Models with Minimal Repair, pages 225-269, Springer.
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- Asadi, Majid, 2023. "On a parametric model for the mean number of system repairs with applications," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
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Keywords
Renewal function; Approximation; Limiting relation; Weibull distribution; Lognormal distribution;All these keywords.
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