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

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## Question:

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

**Related Book For**

## Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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**Question Details**

Chapter #

**4**Section: Exercises 4.4

Problem: 23