a) Assume that the likelihood function of each category has certain parametric form. Specifically, we have P(xwi)N, 07) and p(x₂)~ N(₂, 2). Which category should we decide on when maximum-likelihood estimation is employed to make the prediction? b) Following the above assumption, suppose we further know that σ₁ = 2,

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Given the test example x = 5, please answer the following questions:
a) Assume that the likelihood function of each category has certain parametric
and
form. Specifically, we
have
p(rar)~ N(₁,07)
p(x₂)~ N(₂, 2). Which category should we decide on when
maximum-likelihood estimation is employed to make the prediction?
b) Following the above assumption, suppose we further know that o1 = 2,
Transcribed Image Text:Given the test example x = 5, please answer the following questions: a) Assume that the likelihood function of each category has certain parametric and form. Specifically, we have p(rar)~ N(₁,07) p(x₂)~ N(₂, 2). Which category should we decide on when maximum-likelihood estimation is employed to make the prediction? b) Following the above assumption, suppose we further know that o1 = 2,
0₂=1, 4₁ ~ N(0, 1) and 2~ N(2, 1). Which category should we decide
on a when Bayesian estimation is employed to make the prediction?
c) Assume that the likelihood function of each category doesn't have any
parametric form. Furthermore, the window function for either category takes
the form of N(0, 1), while the window width for ₁ and u is 2 and 5
respectively. Which category should we decide on x when Parzen windows
is employed to make the prediction?
Transcribed Image Text:0₂=1, 4₁ ~ N(0, 1) and 2~ N(2, 1). Which category should we decide on a when Bayesian estimation is employed to make the prediction? c) Assume that the likelihood function of each category doesn't have any parametric form. Furthermore, the window function for either category takes the form of N(0, 1), while the window width for ₁ and u is 2 and 5 respectively. Which category should we decide on x when Parzen windows is employed to make the prediction?
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