Exponentiated Transmuted Power Function Distribution: Theory & Applications

Usman R. M., Ul Haq M. A., BURSA N., Ozel G.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.31, sa.2, ss.660-675, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2018
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.660-675
  • Anahtar Kelimeler: Power function dist, Renyi entropy, MLE
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This paper introduces a new generalization of Transmuted Power Function distribution named as Exponentiated Transmuted Power Function distribution with its fundamental properties. The expressions of failure and survival rate functions on the basis of their graphs are provided. We compute moments, moment generating function, quantile function. Then, Renyi entropy is discussed and the expressions of the order statistics are derived. Parameters of the proposed distribution are estimated using the maximum likelihood method. Real lifetime data application shows the flexibility of the proposed distribution and its better fit as compared to some existing models with the confidence that the model provide better performance to deal with the problems related to electronics and engineering reliability.