Consider (X1, X2, X3) with the joint pdf f(x1, x2, 23) x exp{-1 (x² + x² + x²-3x1x2-x2x3)}. The full conditionals for X₂X₁ = 1, X3 = 23 and X3|X₁ = 1, X2 = 2₂ for this joint density are X2|X₁ = 1, X3 = x3 ~ N(₁ + x3,7), X3|X1 = 21, X₂ = 22 ~ N (22, 1). You do not need to show how to obtain these two conditional distributions. (a) Find the full conditional for X1|X2 = 22, X3 = 23.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 75E
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Consider (X1, X2, X3)" with the joint pdf
f(nn,za, zs) x exp {-을 (국 + 금 + -3피2-2213)}.
The full conditionals for X2X1 = x1, X3 = r3 and X3|X1 =x1, X2 = r2 for
this joint density are
%3D
%3D
%3D
X2|X1= 피1, X3 3Dr3 ~ N (피 + 을s, 꼭),
X3|X1 = r1, X2 = r2~ N (r2, 1).
You do not need to show how to obtain these two conditional distributions.
(a) Find the full conditional for X1X2 = r2, X3 = x3.
%3D
%3D
Transcribed Image Text:Consider (X1, X2, X3)" with the joint pdf f(nn,za, zs) x exp {-을 (국 + 금 + -3피2-2213)}. The full conditionals for X2X1 = x1, X3 = r3 and X3|X1 =x1, X2 = r2 for this joint density are %3D %3D %3D X2|X1= 피1, X3 3Dr3 ~ N (피 + 을s, 꼭), X3|X1 = r1, X2 = r2~ N (r2, 1). You do not need to show how to obtain these two conditional distributions. (a) Find the full conditional for X1X2 = r2, X3 = x3. %3D %3D
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