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2. Duda, problem 2.2. In addition, write the Bayesian decision rule if P(@) Section 2.2 ion 2. Suppose two equally probable one-dimensional densities are of the p(x|w;) x e¬lx=qil/bi for i = 1, 2 and 0 < b;. (a) Write an analytic expression for each density, that is, normalize eacl tion for arbitrary a; and positive b;. (b) Calculate the likelihood ratio as a function of your four variables. (c) Sketch a graph of the likelihood ratio p(x|w1)/p(x|w2) for the case bị = 1, a2 = 1 and b2 = 2. mon %3D

2. Duda, problem 2.2. In addition, write the Bayesian decision rule if P(@) Section 2.2 ion 2. Suppose two equally probable one-dimensional densities are of the p(x|w;) x e¬lx=qil/bi for i = 1, 2 and 0 < b;. (a) Write an analytic expression for each density, that is, normalize eacl tion for arbitrary a; and positive b;. (b) Calculate the likelihood ratio as a function of your four variables. (c) Sketch a graph of the likelihood ratio p(x|w1)/p(x|w2) for the case bị = 1, a2 = 1 and b2 = 2. mon %3D

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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2. Duda, problem 2.2. In addition, write the Bayesian decision rule if P(@)= P(@,) %3D Section 2.2 2. Suppose two equally probable one-dimensional densities are of the form p(x|@;) c e¬lx-a;\/b; for i = 1, 2 and 0 < bị. (a) Write an analytic expression for each density, that is, normalize each func- tion for arbitrary a¡ and positive bị. (b) Calculate the likelihood ratio as a function of your four variables. (c) Sketch a graph of the likelihood ratio p(x|@1)/p(x|@2) for the case a = bị = 1, a2 = 1 and bɔ = 2. = 0, %3D %3D
Transcribed Image Text:2. Duda, problem 2.2. In addition, write the Bayesian decision rule if P(@)= P(@,) %3D Section 2.2 2. Suppose two equally probable one-dimensional densities are of the form p(x|@;) c e¬lx-a;\/b; for i = 1, 2 and 0 < bị. (a) Write an analytic expression for each density, that is, normalize each func- tion for arbitrary a¡ and positive bị. (b) Calculate the likelihood ratio as a function of your four variables. (c) Sketch a graph of the likelihood ratio p(x|@1)/p(x|@2) for the case a = bị = 1, a2 = 1 and bɔ = 2. = 0, %3D %3D
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