Journal of Biostatistics & Biometrics
In this paper, a flexible lifetime distribution with increasing, increasing and decreasing and modified bathtub hazard rate called Modified Burr XII-Inverse Exponential (MBXII-IE) is introduced. The density function of MBXII-IE has exponential, left-skewed, right-skewed and symmetrical shapes. Descriptive measures such as moments, moments of order statistics, incomplete moments, inequality measures, residual life function and reliability measures are theoretically established. The MBXII-IE distribution is characterized via different techniques. Parameters of MBXII-IE distribution are estimated using maximum likelihood method. The simulation study is performed to illustrate the performance of the Maximum Likelihood Estimates (MLEs) of the parameters of the MBXII-IE distribution. The potentiality of MBXII-IE distribution is demonstrated by its application to real data sets: fracture toughness, taxes revenue’s data and coal mining disaster data.
Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein; Yousof, Haitham M.; Ali, Azeem; and Ahmad, Munir, "On Modified Burr XII-Inverse Exponential Distribution: Prop¬erties, Characterizations and Applications" (2018). Mathematical and Statistical Science Faculty Research and Publications. 62.