INGARCH-Based Fuzzy Clustering of Count Time Series with a Football Application

Abstract

Although there are many contributions in the time series clustering literature, few studies still deal with count time series data. This paper aims to develop a fuzzy clustering procedure for count time series data. We propose an Integer GARCH-based Fuzzy C -medoids (INGARCH-FCMd) method for clustering count time series based on a Mahalanobis distance between the parameters estimated by an INGARCH model. We show how the proposed clustering method works by clustering football teams according to the number of scored goals.

Keywords: Fuzzy C-medoids, INGARCH, Poisson distribution, Sport analytics