Hypoexponential Distribution with Different Parameters

Affiliation(s)

Department of Applied Mathematics, Faculty of Sciences, Lebanese University, Zahle, Lebanon.

Department of Mathematics, Faculty of Sciences, Beirut Arab University, Beirut, Lebanon.

School of Engineering, American University of the Middle East, Eguaila, Kuwait.

Department of Applied Mathematics, Faculty of Sciences, Lebanese University, Zahle, Lebanon.

Department of Mathematics, Faculty of Sciences, Beirut Arab University, Beirut, Lebanon.

School of Engineering, American University of the Middle East, Eguaila, Kuwait.

Abstract

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 ofLaplacetransform and the moment generating function, we analyse this case and give new properties and identities. Moreover, we shall study particular cases when are arithmetic and geometric.

Cite this paper

K. Smaili, T. Kadri and S. Kadry, "Hypoexponential Distribution with Different Parameters,"*Applied Mathematics*, Vol. 4 No. 4, 2013, pp. 624-631. doi: 10.4236/am.2013.44087.

K. Smaili, T. Kadri and S. Kadry, "Hypoexponential Distribution with Different Parameters,"

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