A New Series Representation and the Laplace Transform for the Lognormal Distribution

Manuel D. Ortigueira

doi:10.3390/math10193474

A New Series Representation and the Laplace Transform for the Lognormal Distribution

Manuel D. Ortigueira

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

64 Downloads (Pure)

Abstract

In this paper, the lognormal distribution is studied, and a new series representation is proposed. This series uses the powers of the bilinear function. From it, a simplified form is obtained and used to compute the Laplace transform of the distribution.

Original language	English
Article number	3474
Number of pages	13
Journal	Mathematics
Volume	10
Issue number	19
DOIs	https://doi.org/10.3390/math10193474
Publication status	Published - 23 Sept 2022

Keywords

bilinear function
Laplace transform
lognormal distribution
series representation

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10.3390/math10193474Licence: CC BY

A New Series Representation and the Laplace Transform for theFinal published version, 362 KBLicence: CC BY

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title = "A New Series Representation and the Laplace Transform for the Lognormal Distribution",

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A New Series Representation and the Laplace Transform for the Lognormal Distribution

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