학술논문

Model-based clustering using a new multivariate skew distribution
Document Type
Original Paper
Source
Advances in Data Analysis and Classification: Theory, Methods, and Applications in Data Science. 18(1):61-83
Subject
Mixture models
Skewed data
Model-based clustering
Cryptocurrencies
62H10
62H30
Language
English
ISSN
1862-5347
1862-5355
Abstract
Quite often real data exhibit non-normal features, such as asymmetry and heavy tails, and present a latent group structure. In this paper, we first propose the multivariate skew shifted exponential normal distribution that can account for these non-normal characteristics. Then, we use this distribution in a finite mixture modeling framework. An EM algorithm is illustrated for maximum-likelihood parameter estimation. We provide a simulation study that compares the fitting performance of our model with those of several alternative models. The comparison is also conducted on a real dataset concerning the log returns of four cryptocurrencies.