Title
Distribution-Based Entropy Weighting Clustering Of Skewed And Heavy Tailed Time Series
Abstract
The goal of clustering is to identify common structures in a data set by forming groups of homogeneous objects. The observed characteristics of many economic time series motivated the development of classes of distributions that can accommodate properties, such as heavy tails and skewness. Thanks to its flexibility, the skewed exponential power distribution (also called skewed generalized error distribution) ensures a unified and general framework for clustering possibly skewed and heavy tailed time series. This paper develops a clustering procedure of model-based type, assuming that the time series are generated by the same underlying probability distribution but with different parameters. Moreover, we propose to optimally combine the estimated parameters to form the clusters with an entropy weighing k-means approach. The usefulness of the proposal is shown by means of application to financial time series, demonstrating also how the obtained clusters can be used to form portfolio of stocks.
Year
DOI
Venue
2021
10.3390/sym13060959
SYMMETRY-BASEL
Keywords
DocType
Volume
classification, generalized error distribution, skewness, skewed exponential power distribution, financial time series, portfolio selection
Journal
13
Issue
Citations 
PageRank 
6
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Raffaele Mattera101.69
Massimiliano Giacalone222.45
Karina Gibert300.34