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2. Let , = P(Y = j) be the prior membership probability Write down the expression of the unnormalized and untransformed theoretical (population) Bayes discriminant function 6,(x) for group

2. Let , = P(Y = j) be the prior membership probability Write down the expression of the unnormalized and untransformed theoretical (population) Bayes discriminant function 6,(x) for group

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 solve only 2nd question

2. Let n; = P(Y = j) be the prior membership probability Write down the expression of the unnormalized and untransformed theoretical (population) Bayes discriminant function 6,(x) for group %3! 3. Consider n, = E, I(Y, = j), where n is the number of observations in the data. Write the estimator , of n, as a function of n. %3! %3D 4. Kernel density Estimation for class conditional densities: • Explain the typical procedure that can be used to help derive the isotropic bandwidth matrix from Scott's rule of thumb. • Write down the mathematical expression of the estimator 6,(x) of the Bayes discrim- inant function for each of the classes when the class conditional is a nonparametric kernel density estimator
Transcribed Image Text:2. Let n; = P(Y = j) be the prior membership probability Write down the expression of the unnormalized and untransformed theoretical (population) Bayes discriminant function 6,(x) for group %3! 3. Consider n, = E, I(Y, = j), where n is the number of observations in the data. Write the estimator , of n, as a function of n. %3! %3D 4. Kernel density Estimation for class conditional densities: • Explain the typical procedure that can be used to help derive the isotropic bandwidth matrix from Scott's rule of thumb. • Write down the mathematical expression of the estimator 6,(x) of the Bayes discrim- inant function for each of the classes when the class conditional is a nonparametric kernel density estimator
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