On generalized Laplace transforms

A note on the comparison between Laplace and Sumudu transforms

Generalized Ageing Classes in Terms of Laplace Transforms

Kebir (1994) (see also Shaked and Shanthikumar, 1994) has characterized likelihood ratio (LR) ordering, failure rate (FR) ordering, reversed hazard rate ordering and stochastic (ST) ordering with the help of Laplace transform. Using Laplace transform, Nanda (1995) has characterized, by means of necessary and sufficient conditions, the property that two life distributions are ordered in the s-FR...

The h-Laplace and q-Laplace transforms

Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson

On Laplace Transforms Near the Origin

Let /(f) be locally integrable on [0, °°) and let L{f}(s) denote the Laplace transform of /(f). In this note, we prove that if/(f) ~ f Sh=q an(log f)~ as f -> °°, where 0 < Re ß < 1, then /.{/}($) ~ s^1 2^=0 cn('°8 '/*)"" as s ->• 0 in larg si « 7r/2 A, the cn being constants.

Laplace Transforms of Probability Density

In order to numerically invert Laplace transforms to calculate probability distributions in queueing and related models, we need to be able to calculate the Laplace transform values. In many cases the desired Laplace transform values (e.g., of a waiting-time distribution) can be computed when the Laplace transform values of component probability density functions (pdf's) (e.g., of a service-tim...