MixSim (version 1.1-8)

MixSim-package: Simulation of Gaussian Finite Mixture Models

Description

Simulation of Gaussian finite mixture models for prespecified levels of average or/and maximum overlap. Pairwise overlap is defined as the sum of two misclassification probabilities.

Author

Volodymyr Melnykov, Wei-Chen Chen, and Ranjan Maitra.

Maintainer: Volodymyr Melnykov <[e-mail]>

Details

Function 'MixSim' simulates a finite mixture model for a prespecified level of average or/and maximum overlap.

Function 'overlap' computes all misclassification probabilities for a finite mixture model.

Function 'pdplot' constructs a parallel distribution plot for a finite mixture model.

Function 'simdataset' simulates a dataset from a finite mixture model.

References

Maitra, R. and Melnykov, V. (2010) ``Simulating data to study performance of finite mixture modeling and clustering algorithms'', The Journal of Computational and Graphical Statistics, 2:19, 354-376.

Melnykov, V., Chen, W.-C., and Maitra, R. (2012) ``MixSim: An R Package for Simulating Data to Study Performance of Clustering Algorithms'', Journal of Statistical Software, 51:12, 1-25.

Davies, R. (1980) ``The distribution of a linear combination of chi-square random variables'', Applied Statistics, 29, 323-333.

Meila, M. (2006) ``Comparing clusterings - an information based distance'', Journal of Multivariate Analysis, 98, 873-895.

Examples

# Simulate parameters of a mixture model
A <- MixSim(BarOmega = 0.01, MaxOmega = 0.10, K = 10, p = 5)

# Display the mixture via the parallel distribution plot
pdplot(A$Pi, A$Mu, A$S, MaxInt = 0.5)