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International Society of Science and Applied Technologies |
| Computations of Renewal Functions of Weibull Distribution | ||||
| Author |
Toshio Nakagawa
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| Co-Author(s) |
Kazunori Iwata
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| Abstract | A renewal function is one of most important reliability
measures and represents the expected number of failures
during the interval [0, t]. However, it is quite difficult
to compute explicitly a renewal function M(t) of Weibull
distribution, because it has no reproductive property. First,
we show reliability measures of mean, median and mode
of Weibull distribution, obtain them when they are equal to
each other, and compute M(t), using the FFT (Fast Fourier
Transform) method. Next, taking up gamma, normal and
modified Weibull distributions, we propose computing procedures
of a renewal function. It is shown numerically that
these approximations are easy and give good ones for obtaining
M(t).
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| Keywords | Weibull distribution, Renewal function, Computing method, Approximation, Gamma distribution | |||
| Article #: RQD2026-202 | ||||
Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design |