# piridge.zeroes: Extrema of two-component Gaussian mixture

## Description

By use of the Pi-function in Ray and Lindsay, 2005, locations of
two-component Gaussian mixture density extrema or saddlepoints are computed.

## Usage

piridge.zeroes(prop, mu1, mu2, Sigma1, Sigma2, alphamin=0,
alphamax=1,by=0.001)

## Arguments

prop

proportion of mixture component 1.

mu1

mean vector of component 1.

mu2

mean vector of component 2.

Sigma1

covariance matrix of component 1.

Sigma2

covariance matrix of component 2.

by

interval between alpha-values where to look for extrema.

## Value

list with components

number.zeroesnumber of zeroes of Pi-function, i.e.,
extrema or saddlepoints of density.

estimated.rootsestimated `alpha`

-values at which extrema
or saddlepoints occur.

## References

Ray, S. and Lindsay, B. G. (2005) The Topography of Multivariate
Normal Mixtures, *Annals of Statistics*, 33, 2042-2065.

## Examples

# NOT RUN {
q <- piridge.zeroes(0.2,c(1,1),c(2,5),diag(2),diag(2),by=0.1)
# }