×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide

Let X and Y be independent (strictly positive) gamma

Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani ISBN: 9780131453401 223

Solution for problem 9 Chapter 8.4

Fundamentals of Probability, with Stochastic Processes | 3rd Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fundamentals of Probability, with Stochastic Processes | 3rd Edition | ISBN: 9780131453401 | Authors: Saeed Ghahramani

Fundamentals of Probability, with Stochastic Processes | 3rd Edition

4 5 1 412 Reviews
14
5
Problem 9

Let X and Y be independent (strictly positive) gamma random variables with parameters (r1, ) and (r2, ), respectively. Define U = X + Y and V = X/(X + Y ). (a) Find the joint probability density function of U and V . (b) Prove that U and V are independent. (c) Show that U is gamma and V is beta.

Step-by-Step Solution:
Step 1 of 3

Elementary Statistics Notes Amanda Selly 8/29/2016  Mean: average  To find the mean you add up all the values and then divide by the number of values you have o Population mean: µ= x1+x2+x3+…+xN/N µ= Σx/N o Sample mean: ~x= x1+x2+x3+…+xn/n µ= Σx/n Please note that sample mean is indicated by an x with a bar on...

Step 2 of 3

Chapter 8.4, Problem 9 is Solved
Step 3 of 3

Textbook: Fundamentals of Probability, with Stochastic Processes
Edition: 3
Author: Saeed Ghahramani
ISBN: 9780131453401

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Let X and Y be independent (strictly positive) gamma

×
Log in to StudySoup
Get Full Access to Statistics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Statistics - Textbook Survival Guide
×
Reset your password