A New Reciprocal System of Burr Type X Densities with Applications in Engineering, Reliability, Economy, and Medicine

Author:

Refaie Mohamed K. A.ORCID,Ali Emadeldin I. A.

Abstract

Depending on Yousof et al. (2017a), a new one parameter G family of distributions called the reciprocal Burr X-G family is defined and studied. Special member based on the well-known Burr type XII model called the reciprocal Burr X-Burr XII distribution is studied and analyzed. Relevant properties of the new family including ordinary moments, moment of the residual life, moment of the reversed residual life and incomplete moments are derived and some of them are numerically analyzed. Four different applications to real-life data sets are presented to illustrate the applicability and importance of the new family. The new family has proven to be highly capable and flexible in practical applications and statistical modeling of real data.

Publisher

Pakistan Journal of Statistics and Operation Research

Subject

Management Science and Operations Research,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability

Reference45 articles.

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2. Afify, A. Z., Cordeiro, G.M., Ortega, E.M.M. Yousof, H. M. and Butt, N.S. (2018). The four-parameter Burr XII distribution: properties, regression model and applications. Communications in Statistics-Theory and Methods, 47(11), 2605-2624.

3. Alizadeh, M., Jamal, F., Yousof, H. M., Khanahmadi, M. and Hamedani, G. G. (2020a). Flexible Weibull generated family of distributions: characterizations, mathematical properties and applications. University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, 82(1), 145-150.

4. Alizadeh, M., Yousof, H. M., Jahanshahi, S. M. A., Najibi, S. M. and Hamedani, G. G. (2020b). The transmuted odd log-logistic-G family of distributions. Journal of Statistics and Management Systems, 23(4), 1-27.

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