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S. V. Amari and R. B. Misra, “Closed-Form Expression for Distribution of the Sum of Independent Exponential Random Variables,” IEEE Transactions on Reliability, Vol. 46, No. 4, 1997, pp. 519-522. doi:10.1109/24.693785

has been cited by the following article:

• TITLE: Hypoexponential Distribution with Different Parameters

  AUTHORS: Khaled Smaili, Therrar Kadri, Seifedine Kadry

  KEYWORDS: Hypoexponential Distribution; pdf; Convolution; Laplace Transform; Moment Generating Function; Expectation; Partial Fraction Expansion

  JOURNAL NAME: Applied Mathematics, Vol.4 No.4, April 26, 2013

  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.