Author(s)

Eugene Kouassi^1*, Edouard Akpata², Koffi Pokou³

¹Department of Economics, University of the Western Cape, Cape Town, South Africa.
²Department of Mathematics, University Felix Houphouet Boigny, Abidjan, Cote d’Ivoire.
³Department of Economics, University Felix Houphouet Boigny, Abidjan, Cote d’Ivoire.

An important problem of actuarial risk management is the calculation of the probability of ruin. Using probability theory and the definition of the Laplace transform one obtains expressions, in the classical risk model, for survival probabilities in a finite time horizon. Then explicit solutions are found with the inversion of the double Laplace transform; using algebra, the Laplace complex inversion formula and Matlab, for the exponential claim amount distribution.

Laplace Transforms, Common Distributions, Analysis, Probability Distributions, Counting Processes

Kouassi, E. , Akpata, E. and Pokou, K. (2020) A Note on Laplace Transforms of Some Common Distributions Used in Counting Processes Analysis. Applied Mathematics, 11, 67-75. doi: 10.4236/am.2020.112007.