NORMT3 (version 1.0.4)

normt3ip: Compute inner product function of Gaussian and t3 distribution

Description

This function evaluates the inner product function of the (sphered) Student's t distribution on 3 df and the Gaussian distribution as defined by Theorem~1 of Nason, 2005

Usage

normt3ip(mu, sigma)

Arguments

mu

Mean of the Gaussian

sigma

Standard deviation of the Gaussian

Value

The evaluated function.

Details

No extra details

References

Nason, G.P. (2005) On the sum of the Gaussian and Student's t random variables. Technical Report, 05:01, Statistics Group, Department of Mathematics, University of Bristol.

Examples

# NOT RUN {
#normt3ip(0,1)
#
# Answer should be 0.3183099 which is 1/pi
#
x <- 3
# }