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A flexible lifetime distribution with increasing, decreasing, inverted bathtub and modified bathtub hazard rate called Modified Burr XII-Inverse Weibull (MBXII-IW) is introduced and studied. The density function of MBXII-IW is exponential, left-skewed, right-skewed and symmetrical shaped.  Descriptive measures on the basis of quantiles, moments, order statistics and reliability measures are theoretically established. The MBXII-IW distribution is characterized via different techniques. Parameters of MBXII-IW distribution are estimated using maximum likelihood method. The simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). The potentiality of MBXII-IW distribution is demonstrated by its application to real data sets: serum-reversal times and quarterly earnings.


Moments Reliability Characterizations Maximum Likelihood Estimation

Article Details

Author Biographies

Fiaz Ahmad Bhatti, National College of Business Administration and Economics , Lahore Pakistan

Deptt. of Statistics,

G. G. Hamedani, Marquette University, Milwaukee, WI 53201-1881, USA

MSCS, Professor
How to Cite
Bhatti, F. A., Hamedani, G. G., Yousof, H. M., Ali, A., & Ahmad, M. (2020). On Modified Burr XII-Inverse Weibull Distribution: Development, Properties, Characterizations and Applications. Pakistan Journal of Statistics and Operation Research, 16(4), 721-735.


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