Distributions

Continuous distributions

Usage	Parameters	Support	Wikipedia link
`Beta(a, b)`	`a` and `b` are Reals	a Real in (0, 1)	Beta distribution
`Dirichlet(alphas)`	`alphas` is a sequence of Reals	a length-K vector on the simplex (non-negative reals summing to 1)	Dirichlet distribution
`Exponential(rate)`	`rate` is a Real	a non-negative Real	Exponential distribution
`Gamma(shape, scale)`	`shape` and `scale` are positive Reals	a positive Real	Gamma distribution
`Gaussian(mean, stdev)`	`mean` and `stdev` are Reals	a Real (-infinity to infinity)	Normal distribution
`Reciprocal(a, b)`	`a` and `b` are positive Reals	a Real in [a, b]	Reciprocal distribution
`Uniform(a, b)`	`a` and `b` are Reals	a Real in [a, b]	Continuous uniform distribution

Usage	Parameters	Support	Wikipedia link
`Bernoulli(prob)`	`prob` is a Real	a Boolean: TRUE or FALSE	Bernoulli distribution
`Binomial(n, prob)`	`n` is an Integer and `prob` is a Real	an Integer in 0, ..., n	Binomial distribution
`Categorical(probs)`	`probs` is a sequence of Reals	an Integer in 0, ..., K-1 (category index)	Categorical distribution
`Geometric(prob)`	`prob` is a Real	an Integer in 0, 1, 2, ... (failed trials until first success)	Geometric distribution
`Multinomial(n, probs)`	`n` is an Integer and `probs` is a sequence of Reals	a length-K vector of non-negative Integers summing to `n`	Multinomial distribution
`Poisson(rate)`	`rate` is Real	a non-negative Integer	Poisson distribution