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

被引:1
作者
Refaie, Mohamed K. A. [1 ]
Ali, Emadeldin I. A. [2 ,3 ]
机构
[1] Agami High Inst Adm Sci, Alexandria, Egypt
[2] Al Imam Mohammad Ibn Saud Islamic Univ, Coll Econ & Adm Sci, Dept Econ, Riyadh, Saudi Arabia
[3] Ain Shams Univ, Fac Business, Dept Math Stat & Insurance, Cairo, Egypt
关键词
Applications; Burr Type X Family; Reliability; Simulations; Statistical Modeling; LEONE GENERATED FAMILY; REGRESSION-MODEL; DISTRIBUTIONS;
D O I
10.18187/pjsor.v19i2.4310
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
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.
引用
收藏
页码:373 / 394
页数:22
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