A New Bimodal Distribution for Modeling Asymmetric Bimodal Heavy-Tail Real Lifetime Data

被引：6

作者：

Butt, Nadeem S. ^{[1
]}

Khalil, Mohamed G. ^{[2
]}

机构：

[1] Rabigh King Abdul Aziz Univ, Dept Family & Community Med, Jeddah 21589, Saudi Arabia

[2] Benha Univ, Dept Stat Math & Insurance, Banha 13518, Egypt

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 12期

关键词：

Burr-type X distribution; modeling; hazard function; GENERAL EXPONENTIAL CLASS; G FAMILY; MATHEMATICAL PROPERTIES; WEIBULL DISTRIBUTION; PREDICTION; INFERENCE;

D O I：

10.3390/sym12122058

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We introduced and studied a new generalization of the Burr type X distribution. Some of its properties were derived and numerically analyzed. The new density can be "right-skewed" and symmetric with "unimodal" and many "bimodal" shapes. The new failure rate can be "increasing," "bathtub," "J-shape," "decreasing," "increasing-constant-increasing," "reversed J-shape," and "upside-down (reversed U-shape)." The usefulness and flexibility of the new distribution were illustrated by means of four asymmetric bimodal right- and left-heavy tail real lifetime data.

引用

页码：1 / 27

页数：27

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