论文信息 - The Weibull renewal function for moderate to large arguments

The Weibull renewal function for moderate to large arguments

Abstract Damped exponential series are developed for the Weibull renewal function, with shape parameter m > 1, by residue calculations of the Laplace transformation of the renewal integral equation. Asymptotic properties of the Laplace transform of the Weibull distribution, a Faxen integral, are used to determine both the residues and prove series convergence. This new series fills the void between the existing power series of the renewal function, useful for small arguments and also for m ≤ 1, and the known asymptotic behaviour.

A. G. Constantine | A. Constantine | N. I. Robinson

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