scholarly journals Hypoexponential Distribution with Different Parameters

2013 ◽  
Vol 04 (04) ◽  
pp. 624-631 ◽  
Author(s):  
Khaled Smaili ◽  
Therrar Kadri ◽  
Seifedine Kadry
Keyword(s):  
Hypoexponential Distribution

A Modified-Form Expressions for the Hypoexponential Distribution

2014 ◽  
Vol 4 (3) ◽  
pp. 322-332 ◽  
Author(s):  
Khaled Smaili ◽  
Therrar Kadri ◽  
Seifedine Kadry
Keyword(s):  
Hypoexponential Distribution

Some properties of hypoexponential distribution with stabilizer constant

2015 ◽  
Vol 9 ◽  
pp. 7063-7070 ◽  
Author(s):  
Dodi Devianto ◽  
Lutfiana Oktasari ◽  
Maiyastri
Keyword(s):  
Hypoexponential Distribution

scholarly journals Exponential and Hypoexponential Distributions: Some Characterizations

Mathematics ◽  
2020 ◽  
Vol 8 (12) ◽  
pp. 2207
Author(s):  
George P. Yanev
Keyword(s):  
Linear Combination ◽  
Exponential Distribution ◽  
Random Variables ◽  
Random Variable ◽  
Unknown Distribution ◽  
Converse Result ◽  
Hypoexponential Distribution ◽  
Exponential Random Variables

The (general) hypoexponential distribution is the distribution of a sum of independent exponential random variables. We consider the particular case when the involved exponential variables have distinct rate parameters. We prove that the following converse result is true. If for some n≥2, X1,X2,…,Xn are independent copies of a random variable X with unknown distribution F and a specific linear combination of Xj’s has hypoexponential distribution, then F is exponential. Thus, we obtain new characterizations of the exponential distribution. As corollaries of the main results, we extend some previous characterizations established recently by Arnold and Villaseñor (2013) for a particular convolution of two random variables.

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