LaplacesDemon (version 16.1.6)

is.bayesian: Logical Check of a Bayesian Model

Description

This function provides a logical test of whether or not a Model specification function is Bayesian.

Usage

is.bayesian(Model, Initial.Values, Data)

Arguments

Model

This is a model specification function. For more information, see the LaplacesDemon function.

Initial.Values

This is a vector of initial values, or current parameter values. For more information, see the LaplacesDemon function.

Data

This is a list of data. For more information, see the LaplacesDemon function.

Value

The is.bayesian function returns a logical value of TRUE when the model is Bayesian, and FALSE otherwise.

Details

This function tests whether or not a model is Bayesian by comparing the first two returned arguments: the logarithm of the unnormalized joint posterior density (LP) and deviance (Dev). The deviance (D) is

$$\mathrm{D} = -2 \mathrm{LL}$$,

where LL is the log-likelihood. Consequently,

$$\mathrm{LL} = \mathrm{D} / -2$$,

and LP is the sum of LL and prior probability densities. If LP = LL, then the model is not Bayesian, because prior densities are absent.

See Also

LaplacesDemon.