Abstract
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
Highlights
A flexible model for the analysis of lifetime data sets is often always attractive to the researchers
We perform simulation study based on graphical results by using the modified Burr XII (MBXII)-Power distribution to see the performance of maximum likelihood estimates (MLEs) corresponding to this distribution
We have developed the MBXII-Power distribution along with properties such as submodels, moments, inequality measures, residual and reverse residual life function, stressstrength reliability and multicomponent stress-strength reliability model
Summary
A flexible model for the analysis of lifetime data sets is often always attractive to the researchers. C. and Ahmad M, These new developed distributions provide better fit to data than the sub and competing models. The main goal of this paper is to obtain a more flexible distribution for the lifetime applications called the MBXII-Power distribution. The MBXII-Power distribution is the best model for modeling real data in survival analysis, life testing, reliability, economics and other areas of research. On Modified Burr Xii-Power Distribution: Development, Properties, Characterizations and Applications
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