Abstract
A wide range of continuous one-parameter distributions can be derived using the Laplace transform of a specific function. For any function that is defined and piecewise continuous over any closed interval within the domain of positive real numbers, its Laplace transform is defined as a convergent improper integral for all positive real values of the transform parameter. The Laplace transform functions as a linear operator, ensuring that for any function satisfying these criteria, the resulting transform is unique. Correspondingly, the original function is identified as the inverse Laplace transform of the resulting expression, which similarly maintains uniqueness and adheres to the principles of linearity.
DOI
10.33095/jeas.v13i45.1151
Subject Area
Statistical
First Page
244
Last Page
255
Recommended Citation
AlGharabi, S. I., & Aboud, S. H. (2007). Distribution of Laplace Transformation. Journal of Economics and Administrative Sciences, 13(45), 244-255. https://doi.org/10.33095/jeas.v13i45.1151
