Exact Distributions of the Linear Combination of Gamma and Rayleigh Random Variables
نویسندگان
چکیده
منابع مشابه
Exact Distributions of the Linear Combination of Gamma and Rayleigh Random Variables
The distribution of a linear combination of random variables arise in many applied problems, and have been extensively studied by different researchers. This article derived the exact distribution of the linear combination aX + bY , where a > 0 and b are real constants, and X and Y denote gamma and Rayleigh random variables respectively and are distributed independently of each other. The assoc...
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The exact distribution of the linear combination αX + βY 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 autom...
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The distributions of the ratio of two independent random variables arise in many applied problems and have been extensively studied by many researchers. This article derives the distributions of the ratio Z= Y X , when X and Y are gamma and Rayleigh random variables respectively and are distributed independently of each other. The associated pdf, cdf, and moments have been given in terms of dif...
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ژورنال
عنوان ژورنال: Austrian Journal of Statistics
سال: 2016
ISSN: 1026-597X
DOI: 10.17713/ajs.v38i1.258