Given the test example = 5, please answer the following questions: and a) Assume that the likelihood function of each category has certain paramétric form. Specifically, we have p(x/a₁)~ N(₁07) p(x₂)~ N(1₂,02). 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, 2

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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
form. Specifically, we have p(a)~ N(₁07)
p(x₂)~ N(μ₂, 02). Which category should we decide on
maximum-likelihood estimation is employed to make the prediction?
b) Following the above assumption, suppose we further know that σ₁ = 2,
and
when
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 form. Specifically, we have p(a)~ N(₁07) p(x₂)~ N(μ₂, 02). Which category should we decide on maximum-likelihood estimation is employed to make the prediction? b) Following the above assumption, suppose we further know that σ₁ = 2, and when
0₂=1, 14₁ ~ 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 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, 14₁ ~ 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 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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