A generalization of the multivariate slash distribution

Arslan O., Genc A. İ.

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, cilt.139, sa.3, ss.1164-1170, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 139 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.jspi.2008.07.007
  • Dergi Adı: JOURNAL OF STATISTICAL PLANNING AND INFERENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1164-1170
  • Anahtar Kelimeler: Kotz-type distribution, Slash distribution, Stochastic representation, Heavy-tailed distribution, Robustness, REGRESSION, PARAMETER, FAMILY
  • Çukurova Üniversitesi Adresli: Hayır

Özet

In this paper, we propose a generalization of the multivariate slash distribution and investigate some of its properties. We show that the new distribution belongs to the elliptically contoured distributions family, and can have heavier tails than the multivariate slash distribution. Therefore, this generalization of the multivariate slash distribution can be considered as an alternative heavy-tailed distribution for modeling data sets in a variety of settings. We apply the generalized multivariate slash distribution to two real data sets to provide some illustrative examples. (C) 2008 Elsevier B.V. All rights reserved.