On the burr xii-power cauchy distribution: Properties and applications
Yükleniyor...
Dosyalar
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Punjab (new Campus)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce a four-parameter lifetime model with flexible hazard rate called the Burr XII gamma (BXIIG) distribution. We derive the BXIIG distribution from (i) the T-X family technique and (ii) nexus between the exponential and gamma variables. The failure rate function for the BXIIG distribution is flexible as it can accommodate various shapes such as increasing, decreasing, decreasing-increasing, increasing-decreasing-increasing, bathtub and modified bathtub. Its density function can take shapes such as exponential, J, reverse-J, left-skewed, right-skewed and symmetrical. To illustrate the importance of the BXIIG distribution, we establish various mathematical properties such as random number generator, ordinary moments, generating function, conditional moments, density functions of record values, reliability measures and characterizations. We address the maximum likelihood estimation for the parameters. We estimate the adequacy of the estimators via a simulation study. We consider applications to two real data sets to prove empirically the potentiality of the proposed model.
Açıklama
Anahtar Kelimeler
Characterizations, Gamma distribution, Maximum likelihood estimation, Reliability
Kaynak
Pakistan Journal of Statistics and Operation Research
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
17
Sayı
4
Künye
Bhatti, F. A., Cordeiro, G. M., Korkmaz, M. Ç., & Hamedani, G. G. (2021). On The Burr XII-Gamma Distribution: Development, Properties, Characterizations and Applications. Pakistan Journal of Statistics and Operation Research, 17(4), 771-789.
