0
votes
1answer
35 views

Conditional probability of two sequential samples

Suppose we model a distribution over $27$ alphabet symbols with the random variable $\mathbf{X} $, a vector which takes a multinomial distribution, parameterized by $\mathbf{\theta}=(\theta_1, ..., ...
0
votes
1answer
59 views

Help writing Dirichlet (multidimensional Beta) PDF correctly

I am not getting a PDF when I attempt to express the Dirichlet distribution over the random variable vector $\mathbf{\theta}=(\theta_1, ..., \theta_{27})$. Suppose a total of $2000$ observations on ...
1
vote
0answers
216 views

Bayesian posterior with integrals over normal densities

Realizations from normal distributions with known precision are used to estimate the mean, but the realizations are not always precisely observed. Instead, only a range of the realization is observed. ...
2
votes
3answers
41 views

A bayesian way of calculating the probability $\text{Pr}(\theta \in (\theta_1, \theta_2) | y )$

I'm confused by a bayesian way of calculating the probability $\text{Pr}(\theta \in (\theta_1, \theta_2) | y )$, where $\theta$ is assumed to have a (prior) uniform distribution on $[0,1]$, and the ...