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bayesm (version 3.1-6)

rbiNormGibbs: Illustrate Bivariate Normal Gibbs Sampler

Description

rbiNormGibbs implements a Gibbs Sampler for the bivariate normal distribution. Intermediate moves are plotted and the output is contrasted with the iid sampler. This function is designed for illustrative/teaching purposes.

Usage

rbiNormGibbs(initx=2, inity=-2, rho, burnin=100, R=500)

Value

\(R x 2\) matrix of draws

Arguments

initx

initial value of parameter on x axis (def: 2)

inity

initial value of parameter on y axis (def: -2)

rho

correlation for bivariate normals

burnin

burn-in number of draws (def: 100)

R

number of MCMC draws (def: 500)

Author

Peter Rossi, Anderson School, UCLA, perossichi@gmail.com.

Details

\((\theta_1, \theta_2) ~ N( (0,0), \Sigma\)) with \(\Sigma\) = matrix(c(1,rho,rho,1),ncol=2)

References

For further discussion, see Chapters 2 and 3, Bayesian Statistics and Marketing by Rossi, Allenby, and McCulloch.

Examples

Run this code
if (FALSE) out=rbiNormGibbs(rho=0.95)

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