# Questions tagged [dirichlet-distribution]

The Dirichlet distribution refers to a family of multivariate distributions, which are the generalization of the univariate beta distribution.

286 questions
Filter by
Sorted by
Tagged with
9 views

### Single-value alpha parameter for Dirichlet distribution

I'm trying to implement an event schema induction method from a paper from 2015. The authors use a generative approach to learn a language model. For this, they use a lot of probability distributions ...
19 views

### Using the methods of moments in R for the dirichlet distribution

I'm trying to build a distribution of transition probabilities to randomly sample from in a Markov model where individuals can transition from one health state to another (assume that in the image ...
130 views

30 views

160 views

### Using categorical data to build a Dirichlet distribution

I am building a graphical model. I have some categorical data $\boldsymbol{\mu}$ where they are generated by $p(\boldsymbol{\mu}|\boldsymbol{s},\mathbf{A})=\prod_k\prod_j\mathbf{A}_{ij}^{\mu_is_j}$. ...
36 views

### Cumulative sum of a Dirichlet distribution?

Assume $X_1, X_2, ..., X_n \sim Dir(\alpha_1, \alpha_2, ..., \alpha_n)$ What is the joint distribution of $X_1, X_1+X_2, ..., \sum_{i=1}^n X_i$?
93 views

### Calculate log likelihood of Dirichlet distribution using Gamma distribution

Let $X_1,\dots,X_{k+1}$ be mutually independent random variables, each having a gamma distribution with parameters $\alpha_i,i=1,2,\dots,k+1$ show that $Y_i=\frac{X_i}{X_1+\cdots+X_{k+1}},i=1,\dots,k$,...
37 views

### What Distribution Do I need?

Suppose I am drawing coloured balls from a bag. The ball can be red, green or blue. The probabilities of drawing a red, green or blue bag are uncertain, but I have confidence bounds for the ...
412 views

### Is there a statistical distribution whose values are bounded $[-1,1]$ and sum to 1?

The Dirichlet distribution contains values that are bounded $[0,1]\in \mathbb{R}$ and sum to $1$. Is there a parametric distribution or similar method whose values do the same but reach as low as $-1$?...
121 views