In this paper we construct a sequence of regularized inverses of the Laplace transform by relating this transform to a convolution operator for functions on the group of the positive real numbers with multiplication. Estimation of the mixing distribution, when a mixture of exponential distributions
A class of Laplace transforms and their inversion
β Scribed by W Eberl Jr.
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 289 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A new technique of inverting Moments and Laplace Transforms is presented, using a finite series of generalized Laguerre polynomials in the variable t = ln(1/x). The method is tested with two different functions, with particular emphasis on the estimation of errors involved. The applications of momen
Most methods for the numerical calculation of inverse Laplace transformations f(t) = L -1 [F(s)] have serious limitations concerning the class of functions F(s) that can be inverted or the achievable accuracy. The procedures described in the paper can be used to invert rational as well as irrational
It is shown that the function [a + (1 + 2 ~) ' / ~] -' , s 2 0, with fixed a > -1, is the Laplace transform of an explicitly given non-negative function &;a), x > 0. This class of functions has easily computable convolutions. This property is used to identify the distribution of a sojourn time integ