On continuous lifetime distributions with polynomial failure rate with an application in reliability

Attila Csenki

Reliability Engineering and System Safety, 2011, vol. 96, issue 11, 1587-1590

Abstract: It is shown that the Laplace transform of a continuous lifetime random variable with a polynomial failure rate function satisfies a certain differential equation. This generates a set of differential equations which can be used to express the polynomial coefficients in terms of the derivatives of the Laplace transform at the origin. The technique described here establishes a procedure for estimating the polynomial coefficients from the sample moments of the distribution. Some special cases are worked through symbolically using computer algebra. Real data from the literature recording bus motor failures is used to compare the proposed approach with results based on the least squares procedure.

Keywords: Continuous lifetime distribution; Polynomial failure rate; Laplace transform; Point estimation; Computer algebra (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:96:y:2011:i:11:p:1587-1590

DOI: 10.1016/j.ress.2011.06.008

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