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We consider clustering based on significance tests for Gaussian Mixture Models (GMMs).
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Percentage points of a test for clusters
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Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies
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Multivariate tests for clusters
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A central limit theorem for k-means clustering
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Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test
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On the asymptotic performance of the log likelihood ratio statistic for the mixture model and related results
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A failure of likelihood asymptotics for normal mixtures
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An examination of procedures for determining the number of clusters in a data set
Milligan, G. W. and Cooper, M. C. (1985) · 1985
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Silhouettes: a graphical aid to the interpretation and validation of cluster analysis
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Testing the order of a model using locally conic parametrization: population mixtures and stationary arma processes
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Estimating the number of clusters in a data set via the gap statistic
Tibshirani, R., Walther, G., and Hastie, T. (2001) · 2001
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Fraley, C. and Raftery, A. E. (2002) · 2002
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Likelihood ratio inequalities with applications to various mixtures
Gassiat, E. (2002) · 2002
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Methods for assessing reproducibility of clustering patterns observed in analyses of microarray data
McShane, L. M., Radmacher, M. D., Freidlin, B., Yu, R., Li, M.-C., and Simon, R. (2002) · 2002
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Convex optimization
A comparative study of the k-means algorithm and the normal mixture model for clustering: Bivariate homoscedastic case
Qiu, D. (2010) · 2010
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Chen, J., Li, P., and Fu, Y. (2012) · 2012
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Statistical significance of clustering for high-dimension, low–sample size data
Liu, Y., Hayes, D. N., Nobel, A., and Marron, J. S. (2012) · 2012
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Bootstrapping for significance of compact clusters in multidimensional datasets
Maitra, R., Melnykov, V., and Lahiri, S. N. (2012) · 2012
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Comprehensive genomic characterization of squamous cell lung cancers
Network, C. G. A. R. et al. (2012) · 2012
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On the number of components in a gaussian mixture model
McLachlan, G. J. and Rathnayake, S. (2014) · 2014
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