R: Truncated Poisson Prior Distribution for Models

tr.poisson {BAS} | R Documentation

## Truncated Poisson Prior Distribution for Models

### Description

Creates an object representing the prior distribution on models for BAS using a truncated Poisson Distribution on the Model Size

### Usage

    tr.poisson(lambda, trunc)

### Arguments

`lambda` | parameter in the Poisson distribution representing expected model size with infinite predictors
`trunc` | parameter that determines truncation in the distribution i.e. P(M; lambda, trunc) = 0 if M > trunc

### Details

The Poisson prior distribution on model size is obtained by assigning each variable inclusion indicator independent Bernoulli distributions with probability w, and then taking a limit as p goes to infinity and w goes to zero, such that p*w converges to lambda. The Truncated version assigns zero probability to all models of size M > trunc.

### Value

returns an object of class "prior", with the family and hyperparameters.

### Author(s)

Merlise Clyde

### See Also

`bas.lm`, `Bernoulli`,`uniform`

Other priors modelpriors: `Bernoulli.heredity()`, `Bernoulli()`, `beta.binomial()`, `tr.beta.binomial()`, `tr.power.prior()`, `uniform()`

### Examples

    tr.poisson(10, 50)

[Package BAS version 1.6.2 Index]