In this paper, we introduce a new parametric distribution, the mixed tempered stable. It has the same structure of the normal variance–mean mixtures but the normality assumption gives way to a semi-heavy tailed distribution. We show that, by choosing appropriately the parameters of the distribution and under the concrete specification of the mixing random variable, it is possible to obtain some well-known distributions as special cases. We employ the mixed tempered stable distribution which has many attractive features for modelling univariate returns. Our results suggest that it is flexible enough to accommodate different density shapes. Furthermore, the analysis applied to statistical time series shows that our approach provides a better fit than competing distributions that are common in the practice of finance.

Rroji, E., Mercuri, L. (2015). Mixed tempered stable distribution. QUANTITATIVE FINANCE, 15(9), 1559-1569 [10.1080/14697688.2014.969763].

Mixed tempered stable distribution

Rroji, Edit
Primo
;
2015

Abstract

In this paper, we introduce a new parametric distribution, the mixed tempered stable. It has the same structure of the normal variance–mean mixtures but the normality assumption gives way to a semi-heavy tailed distribution. We show that, by choosing appropriately the parameters of the distribution and under the concrete specification of the mixing random variable, it is possible to obtain some well-known distributions as special cases. We employ the mixed tempered stable distribution which has many attractive features for modelling univariate returns. Our results suggest that it is flexible enough to accommodate different density shapes. Furthermore, the analysis applied to statistical time series shows that our approach provides a better fit than competing distributions that are common in the practice of finance.
Articolo in rivista - Articolo scientifico
Gamma density; Independent component analysis; Mixture models; Statistical factors; Tempered stable distribution;
English
23-ott-2014
2015
15
9
1559
1569
reserved
Rroji, E., Mercuri, L. (2015). Mixed tempered stable distribution. QUANTITATIVE FINANCE, 15(9), 1559-1569 [10.1080/14697688.2014.969763].
File in questo prodotto:
File Dimensione Formato  
Rroji-2015-Quantitative Finance-VoR.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Licenza: Tutti i diritti riservati
Dimensione 718.15 kB
Formato Adobe PDF
718.15 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/460938
Citazioni
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
Social impact