Example 9:33. If X and Y are independent Gamma variates with parameters µ and v respectively, show that the variables U = X + Y, Z = X +Y are independent and that U is a Y (u + v) variate and Z is a B,(u, v) variate.
Example 9:33. If X and Y are independent Gamma variates with parameters µ and v respectively, show that the variables U = X + Y, Z = X +Y are independent and that U is a Y (u + v) variate and Z is a B,(u, v) variate.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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![Example 9:33. If X and Y are independent Gamma variates with parameters µ and v
respectively, show that the variables U = X + Y, Z =
X+Y
are independent and that U is a
Y (µ + v) variate and Z is a B1(µ, v) variate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F069954e9-8e41-4d3d-9c00-ce7a61c02c03%2Fc7203ce8-d3e8-4c92-bfce-121a5ca2591e%2Fo7cmgmb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 9:33. If X and Y are independent Gamma variates with parameters µ and v
respectively, show that the variables U = X + Y, Z =
X+Y
are independent and that U is a
Y (µ + v) variate and Z is a B1(µ, v) variate.
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