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Full-Text Articles in Physical Sciences and Mathematics
A Note On Sum, Difference, Product And Ratio Of Kumaraswamy Random Variables, Avishek Mallick, Indranil Ghosh, Gholamhossein G. Hamedani
A Note On Sum, Difference, Product And Ratio Of Kumaraswamy Random Variables, Avishek Mallick, Indranil Ghosh, Gholamhossein G. Hamedani
Mathematics, Statistics and Computer Science Faculty Research and Publications
Explicit expressions for the densities of S = X1 + X2 , D = X1 − X2 , P = X1X2 and R= X1/X2 are derived when X1 and X2 are independent or sub-independent Kumaraswamy random variables. The expressions appear to involve the incomplete gamma functions. Some possible real life scenarios are mentioned in which such quantities might be of interest.