Let X and Y are independent Lomax distributed random variables having a pdf f(x) =(^)/((x+)^(+1) ) ;x>0,>0,>0 a) Find the pdf of Z=X-Y, Z =

Let X and Y are independent Lomax distributed random variables having a pdf

f(x) =(αβ^α)/((x+β)^(α+1) ) ;x>0,α>0,β>0

a) Find the pdf of Z=X-Y, Z = XY and Z=X/Y by using transformation technique.

b) Also find out the median order statistics and joint median order statistics for the Lomax distribute