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fpc (version 2.1-6)

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.
alphamin
minimum alpha value.
alphamax
maximum alpha value.
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

Run this code
q <- piridge.zeroes(0.2,c(1,1),c(2,5),diag(2),diag(2),by=0.1)

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