TTmoment (version 1.0)

TTmoment-package: Truncated Multivariate t (TMVT) Distribution

Description

This package includes two functions related to the truncated multivariate t (TMVT) distribution described in Kotz and Nadarajah (2004) with the double truncation. One is to generate random variates from the TMVT distribution, and the other is to compute the first two moments theoretically.

Details

Package:

TTmoment

Type:

Package

Version:

1.0

Date:

2015-05-04

License:

GPL-2

References

Hsiu J. Ho, Tsung-I Lin, Hsuan-Yu Chen, Wan-Lun Wang (2012), Some results on the truncated multivariate t distribution. Journal of Statistical Planning and Inference, 142, 25-40.

See Also

TT.GS, TT.moment

Examples

# A test example
rho=0.9
S=matrix(c(1, rho ,rho, 1),2,2)
nu=5
p=2
mu = rep(0, p)
Y= TT.GS(n=10000, mu, S, nu, lower=c(1,2), upper=c(4,6))
# Empirical first moment
y.bar=colMeans(Y)
y.bar
# Sample covariance matrix
S.y=cov(Y)
S.y

M.Y=TT.moment(R=S, nu, lower=c(1,2), upper=c(4,6))
# First two moments
M.Y$EX
M.Y$EXX
# Covariance matrix
M.Y$EXX-M.Y$EX%*%t(M.Y$EX)