Tagged Questions

0
votes
1answer
74 views

question related to Bayes' rule and Bays' risk.

Let $X_1, X_2, X_3, \ldots, X_n$ be a random sample for $N(e,1)$. Let the prior p.d.f. of $e$ be $N(0,\sigma^2)$ under the square error loss function $L(e,d)={(d-e)}^2$. Find the Bayes' decision rule ...
0
votes
0answers
19 views

Solving for bayesian decision surfaces-quadric vector equation

I have three discriminant functions g1(x) , g2(x) and g3(x), each denoting one of the three classes under which an input is to be specified. The class conditional densities are gaussian. The ...
0
votes
1answer
72 views

How to formulate the probability of being correct?

Suppose we have the following Bayesian net (or a probabilistic graphical model): $L \rightarrow X \leftarrow F$, i.e. $P(L,X,F) = P(X|L,F)P(L)P(F)$ and all of these probabilities are known. Let ...