Practice
This document has questions.
, Question-1
Statement
Consider a dataset that has only points, out of which points have the value , have
value and have value . We use a categorical distribution to model this data. The parameters
of the distribution are:
If the distribution seems unfamiliar to you, think about an imaginary dice with three faces. What is
the likelihood function for this data under this distribution?
Options
(a)
(b)
(c)
Answer
(c)
Solution
Let us use to refer to the number of ones, twos and threes respectively. By the i.i.d
assumption, we have:
This document has questions.
, Question-1
Statement
Consider a dataset that has only points, out of which points have the value , have
value and have value . We use a categorical distribution to model this data. The parameters
of the distribution are:
If the distribution seems unfamiliar to you, think about an imaginary dice with three faces. What is
the likelihood function for this data under this distribution?
Options
(a)
(b)
(c)
Answer
(c)
Solution
Let us use to refer to the number of ones, twos and threes respectively. By the i.i.d
assumption, we have:
