Hypoexponential Distribution with Different Parameters

Khaled Smaili, Therrar Kadri, Seifedine Kadry
2013 Applied Mathematics  
The Hypoexponential distribution is the distribution of the sum of n ≥ 2 independent Exponential random variables. This distribution is used in moduling multiple exponential stages in series. This distribution can be used in many domains of application. In this paper we consider the case of n exponential Random Variable having distinct parameters. Using convolution, some properties of Laplace transform and the moment generating function, we analyse this case and give new properties and
more » ... erties and identities. Moreover, we shall study particular cases when i  are arithmetic and geometric.
doi:10.4236/am.2013.44087 fatcat:okdrcciobzeqbp76osladtd26i