Selective inference for k-means clustering
We consider the problem of testing for a difference in means between clusters of
observations identified via k-means clustering. In this setting, classical hypothesis tests lead …
observations identified via k-means clustering. In this setting, classical hypothesis tests lead …
A doubly enhanced em algorithm for model-based tensor clustering
Modern scientific studies often collect datasets in the form of tensors. These datasets call for
innovative statistical analysis methods. In particular, there is a pressing need for tensor …
innovative statistical analysis methods. In particular, there is a pressing need for tensor …
Trajectories of symptom severity in children with autism: variability and turning points through the transition to school
This study examined the trajectories of autistic symptom severity in an inception cohort of
187 children with ASD assessed across four time points from diagnosis to age 10. Trajectory …
187 children with ASD assessed across four time points from diagnosis to age 10. Trajectory …
On parsimonious models for modeling matrix data
Finite mixture modeling is a popular technique for capturing heterogeneity in data. Although
the vast majority of the theory developed in this area up to date deals with vector-valued …
the vast majority of the theory developed in this area up to date deals with vector-valued …
Improved initialization of the em algorithm for mixture model parameter estimation
B Panić, J Klemenc, M Nagode - Mathematics, 2020 - mdpi.com
A commonly used tool for estimating the parameters of a mixture model is the Expectation–
Maximization (EM) algorithm, which is an iterative procedure that can serve as a maximum …
Maximization (EM) algorithm, which is an iterative procedure that can serve as a maximum …
Matrix normal cluster-weighted models
Finite mixtures of regressions with fixed covariates are a commonly used model-based
clustering methodology to deal with regression data. However, they assume assignment …
clustering methodology to deal with regression data. However, they assume assignment …
Two new matrix-variate distributions with application in model-based clustering
Two matrix-variate distributions, both elliptical heavy-tailed generalization of the matrix-
variate normal distribution, are introduced. They belong to the normal scale mixture family …
variate normal distribution, are introduced. They belong to the normal scale mixture family …
Mixtures of matrix-variate contaminated normal distributions
Analysis of matrix-variate data is becoming ever more prevalent in the literature, especially
in the area of clustering and classification. Real data, including real matrix-variate data, are …
in the area of clustering and classification. Real data, including real matrix-variate data, are …
A novel two-sample test within the space of symmetric positive definite matrix distributions and its application in finance
Ž Lukić, B Milošević - Annals of the Institute of Statistical Mathematics, 2024 - Springer
This paper introduces a novel two-sample test for a broad class of orthogonally invariant
positive definite symmetric matrix distributions. Our test is the first of its kind, and we derive …
positive definite symmetric matrix distributions. Our test is the first of its kind, and we derive …
A mixture of coalesced generalized hyperbolic distributions
A mixture of multiple scaled generalized hyperbolic distributions (MMSGHDs) is introduced.
Then, a coalesced generalized hyperbolic distribution (CGHD) is developed by joining a …
Then, a coalesced generalized hyperbolic distribution (CGHD) is developed by joining a …