Alpha Power Lomax Distribution:Properties and Application

BULUT Y. M., DOĞRU F. Z., ARSLAN O.

Journal of Reliability and Statistical Studies, cilt.14, sa.1, ss.17-32, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.13052/jrss0974-8024.1412
  • Dergi Adı: Journal of Reliability and Statistical Studies
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.17-32
  • Anahtar Kelimeler: Lomax distribution, alpha power transformation, maximum likelihood estimation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

This study offers a newly proposed distribution called alpha power Lomax (APL) distribution as a new extension of the Lomax distribution using the alpha power transformation (APT) method. Some distributional properties of newly defined distribution such as density function, moments, hazard and survival functions, orders statistics etc. are investigated. Parameters of the APL distribution are estimated with the help of the maximum likelihood (ML) estimation method. The applicability of the APL distribution is conducted through a simulation study and a real data example.