The Вayes decision functions d;(x) = p(x|w;) p(w;), j = 1, 2, ... w; were derived using a 0 - 1 loss function. Prove %3D that these decision functions minimize the probability of error. Find p(c) and show that p(c) is maximum, when p(x|w;) p(w;) is maximum. Assume that the probability of error p(e) is 1 - p(c) where p(c) is probability of being correct and for a pattern vector x belonging to class W¡, p(c|x) = p(w;|x).
The Вayes decision functions d;(x) = p(x|w;) p(w;), j = 1, 2, ... w; were derived using a 0 - 1 loss function. Prove %3D that these decision functions minimize the probability of error. Find p(c) and show that p(c) is maximum, when p(x|w;) p(w;) is maximum. Assume that the probability of error p(e) is 1 - p(c) where p(c) is probability of being correct and for a pattern vector x belonging to class W¡, p(c|x) = p(w;|x).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON