
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Could you please show and explain how to answer this in R

Transcribed Image Text:Suppose X₁ and X₂ are i.r.v. and come from gamma(2a, λ).
Show that U = X₁ + X₂ comes from gamma(4a, 2).
Using software R, sample from X₁, X₂ and U and confirm that U = X₁ + X₂, where U ~ gamma(4a, 2) and
X₁ ~ gamma(2a, 2) and X₂ ~ gamma(2a, 2). Use values a = 2 and λ = 3.
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