On the modified Burr XII-Power distribution: development, properties, characterizations and applications

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Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Punjab

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, a flexible lifetime distribution with increasing, decreasing and bathtub hazard rate called the Modified Burr XII-Power (MBXII-Power) is developed on the basis of the T-X family technique. The density function of the MBXII-Power is arc, exponential, left-skewed, right-skewed, J, reverse-J and symmetrical shaped. Descriptive measures such as moments, moments of order statistics, incomplete moments, inequality measures, residual life functions and reliability measures are theoretically established. The MBXII-Power distribution is characterized via different techniques. Parameters of the MBXII-Power distribution are estimated using maximum likelihood method. The simulation study is performed on the basis of graphical results to see the performance of maximum likelihood estimates (MLEs) of the MBXII-Power distribution. The potentiality of the MBXII-Power distribution is demonstrated by its application to real data sets: survival times of pigs, survival times of patients and quarterly earnings.

Açıklama

Anahtar Kelimeler

Moments, Reliability, Characterizations, Maximum Likelihood Estimation

Kaynak

Pakistan Journal of Statistics and Operation Research

WoS Q Değeri

N/A

Scopus Q Değeri

Q1

Cilt

15

Sayı

1

Künye

Bhatti, F. A., Hamedani, G. G., Korkmaz, M. Ç., & Ahmad, M. (2019). On The modified Burr XII-power distribution: development, properties, characterizations and applications. Pakistan Journal of Statistics and Operation Research, 15 (1), 61-85.