The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications

被引：9

作者：

Al-Saiary, Zakeia A. ^{[1
]}

Bakoban, Rana A. ^{[1
]}

机构：

[1] Univ Jeddah, Coll Sci, Dept Stat, Jeddah 22254, Saudi Arabia

来源：

ENTROPY | 2020年 / 22卷 / 10期

关键词：

Topp-Leone distribution; generalized inverted exponential; Ré nyi entropy; maximum likelihood estimator; fisher information matrix; Monte Carlo simulation; GENERATED FAMILY;

D O I：

10.3390/e22101144

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, a new three parameters lifetime model called the Topp-Leone Generalized Inverted Exponential (TLGIE) Distribution is introduced. Various properties of the model are derived, including moments, quantile function, survival function, hazard rate function, mean deviation and mode. The method of maximum likelihood is used to estimate the unknown parameters. The properties of the maximum likelihood estimators using Fisher information matrix are studied. Three real data sets are applied for illustrative purpose of this study.

引用

页码：1 / 16

页数：15

共 31 条

[11] Type II Power Topp-Leone Generated Family of Distributions with Statistical Inference and Applications [J].

Bantan, Rashad A. R. ;

Jamal, Farrukh ;

Chesneau, Christophe ;

Elgarhy, Mohammed .

SYMMETRY-BASEL, 2020, 12 (01)

[12] The Harris Extended Exponential Distribution [J].

Bastos Pinho, Luis Gustavo ;

Cordeiro, Gauss Moutinho ;

Nobre, Juvencio Santos .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (16) :3486-3502

[13]

Bourguignon M., 2014, J DATA SCI, V12, P53, DOI DOI 10.6339/JDS.201401_12(1).0004

[14] A new family of generalized distributions [J].

Cordeiro, Gauss M. ;

de Castro, Mario .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (07) :883-898

[15] The type II Topp-Leone generated family of distributions : Properties and applications [J].

Elgarhy, M. ;

Nasir, M. Arslan ;

Jamal, Farrukh ;

Ozel, Gamze .

JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2018, 21 (08) :1529-1551

[16] On some reliability measures and their stochastic orderings for the Topp-Leone distribution [J].

Ghitany, ME ;

Kotz, S ;

Xie, M .

JOURNAL OF APPLIED STATISTICS, 2005, 32 (07) :715-722

[17]

HANNAN EJ, 1979, J ROY STAT SOC B MET, V41, P190

[18]

Hurvich C. M., 1993, J. Time Ser. Anal, V14, P271, DOI [10.1111/j.1467-9892.1993.tb00144.x, DOI 10.1111/J.1467-9892.1993.TB00144.X]

[19]

Ibrahim S., 2020, Asian J. Probab. Stat., V7, P1, DOI DOI 10.9734/AJPAS/2020/V7I130170

[20]

Ibrahim S, 2020, INT J DATA SCI ANAL, V6, P83, DOI [10.11648/j.ijdsa.20200603.12, DOI 10.11648/J.IJDSA.20200603.12]

← 1 2 3 4 →