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1. Let X and Y be jointly continuous random variables with joint pdf x,y> 0 { exp(-2x - y) + exp(-x-2y) 0 otherwise fx,y (x, y) = a. Find the MAP estimate of X given Y = y. b. Find the ML estimate of X given Y = y.

1. Let X and Y be jointly continuous random variables with joint pdf x,y> 0 { exp(-2x - y) + exp(-x-2y) 0 otherwise fx,y (x, y) = a. Find the MAP estimate of X given Y = y. b. Find the ML estimate of X given Y = y.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please do part A and B and show work
1. Let X and Y be jointly continuous random variables with joint pdf (exp(-2x - y) + exp(-x-2y) x,y>0 0 otherwise fx.x (x, y) = a. Find the MAP estimate of X given Y = y. b. Find the ML estimate of X given Y = y. You may use the fact that fx eax dx (-1-ax).e-ax q² - = - + C.
Transcribed Image Text:1. Let X and Y be jointly continuous random variables with joint pdf (exp(-2x - y) + exp(-x-2y) x,y>0 0 otherwise fx.x (x, y) = a. Find the MAP estimate of X given Y = y. b. Find the ML estimate of X given Y = y. You may use the fact that fx eax dx (-1-ax).e-ax q² - = - + C.
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