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Entropy 2005, 7(2), 161-171; doi:10.3390/e7020161
Article
On the Linear Combination of Exponential and Gamma Random Variables
1
Department of Statistics, University of Nebraska, Lincoln, NE 68583, USA
2
Department of Engineering Management and Systems Engineering, The George Washington University, Washington, D.C. 20052, USA
* Author to whom correspondence should be addressed.
Received: 27 January 2005 / Accepted: 13 June 2005 / Published: 14 June 2005
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Abstract: The exact distribution of the linear combination α X + β Y is derived when X and Y are exponential and gamma random variables distributed independently of each other. A measure of entropy of the linear combination is investigated. We also provide computer programs for generating tabulations of the percentage points associated with the linear combination. The work is motivated by examples in automation, control, fuzzy sets, neurocomputing and other areas of computer science.
Keywords: entropy; exponential distribution; gamma distribution; linear combinations of random variables
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MDPI and ACS Style
Nadarajah, S.; Kotz, S. On the Linear Combination of Exponential and Gamma Random Variables. Entropy 2005, 7, 161-171.
AMA StyleNadarajah S, Kotz S. On the Linear Combination of Exponential and Gamma Random Variables. Entropy. 2005; 7(2):161-171.
Chicago/Turabian StyleNadarajah, Saralees; Kotz, Samuel. 2005. "On the Linear Combination of Exponential and Gamma Random Variables." Entropy 7, no. 2: 161-171.