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Problem 1. Consider a family of 1-dimensional class-conditional densities given by: exp I >0 604 where 0; is the parameter corresponding to class wi. (a) Given independent samples 11, 12, ·. ,Fn from class wi, find the maximum like- lihood estimate of 0;. (b) Suppose that we have two classes, i.c., C = 2. We have obscrved the samples Di = {1,2, 6, 7} from class wi and D2 = {9, 13, 14} from class w2. Assuming that P(wi) = and using the maximum likelihood estimates of 01 and 02, find the Bayes' classifier and determine the decision regions R1 and R2.

Problem 1. Consider a family of 1-dimensional class-conditional densities given by: exp I >0 604 where 0; is the parameter corresponding to class wi. (a) Given independent samples 11, 12, ·. ,Fn from class wi, find the maximum like- lihood estimate of 0;. (b) Suppose that we have two classes, i.c., C = 2. We have obscrved the samples Di = {1,2, 6, 7} from class wi and D2 = {9, 13, 14} from class w2. Assuming that P(wi) = and using the maximum likelihood estimates of 01 and 02, find the Bayes' classifier and determine the decision regions R1 and R2.

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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Problem 1. Consider a family of 1-dimensional class-conditional densities given by: p(r|w;) = 604 exp where 0; is the parameter corresponding to class wi. (a) Given independent samples r1, #2, · ·· ,In from class wi, find the maximum like- lihood estimate of 0;. (b) Suppose that we have two classes, i.c., C = 2. We have observed the samples Di = {1,2,6, 7} from class wi and D2 = {9,13, 14} from class w2. ASsuming that P(wi) = and using the maximum likelihood estimates of 01 and 02, find the Bayes' classifier and determine the decision regions R1 and R2.
Transcribed Image Text:Problem 1. Consider a family of 1-dimensional class-conditional densities given by: p(r|w;) = 604 exp where 0; is the parameter corresponding to class wi. (a) Given independent samples r1, #2, · ·· ,In from class wi, find the maximum like- lihood estimate of 0;. (b) Suppose that we have two classes, i.c., C = 2. We have observed the samples Di = {1,2,6, 7} from class wi and D2 = {9,13, 14} from class w2. ASsuming that P(wi) = and using the maximum likelihood estimates of 01 and 02, find the Bayes' classifier and determine the decision regions R1 and R2.
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