# Multivariate Cluster Weighted Models Using Skewed Distributions

arXiv: https://arxiv.org/abs/2103.09792 · HTML: https://mlsanity.com/paper/2103.09792/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 17 Mar 2021.

## Built on by (most cited first, 2 of 2)

- [Cluster weighted models for functional data](https://mlsanity.com/paper/2503.05159/) (2025)
- [Cluster weighted models with multivariate skewed distributions for functional data](https://mlsanity.com/paper/2504.12683/) (2025)

## Abstract (arXiv)

Much work has been done in the area of the cluster weighted model (CWM), which extends the finite mixture of regression model to include modelling of the covariates. Although many types of distributions have been considered for both the response and covariates, to our knowledge skewed distributions have not yet been considered in this paradigm. Herein, a family of 24 novel CWMs are considered which allows both the covariates and response variables to be modelled using one of four skewed distributions, or the normal distribution. Parameter estimation is performed using the expectation-maximization algorithm and both simulated and real data are used for illustration.