Copula-based properties of the bivariate Dagum distribution

Popovic B. V., GENÇ A. İ., Domma F.

COMPUTATIONAL & APPLIED MATHEMATICS, cilt.37, sa.5, ss.6230-6251, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40314-018-0682-7
  • Dergi Adı: COMPUTATIONAL & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6230-6251
  • Çukurova Üniversitesi Adresli: Evet

Özet

The Dagum distribution plays an important role both in statistical theory and in economics as a model for income distribution. The main goal of this paper was to develop a bivariate extension of the Dagum distribution and study its distributional properties. Also we will study its dependence properties using copula function. Also we derive the cumulative distribution function and probability density function of the maximum and minimum of the bivariate Dagum order statistics. We estimate the parameters of the distribution and demonstrate it on a real data example.