A generalized transmuted uniform distribution

被引:0
作者
Mohamed I. Riffi
Saiful Islam Ansari
Mohammed S. Hamdan
机构
[1] Islamic University of Gaza,Department of Mathematics
[2] Azad Institute of Engineering and Technology,Department of Business Administration
来源
São Paulo Journal of Mathematical Sciences | 2022年 / 16卷
关键词
Transmuted uniform; Order statistic; Probability weighted moments; L-moments; Maximum likelihood estimation;
D O I
暂无
中图分类号
学科分类号
摘要
We introduce a generalized version of the quadratic rank transmuted uniform distribution that generalizes the standard uniform model by incorporating extra shape parameters into its distribution functions. We study the main mathematical and statistical properties of the proposed generalized transmuted uniform model with its estimation and real-life application.
引用
收藏
页码:1222 / 1237
页数:15
相关论文
共 24 条
[1]  
Bhatt MB(2014)Characterization of generalized uniform distribution through expectation Open J. Stat. 4 563-569
[2]  
Greenwood JA(1979)Probability weighted moments: Definition and relation to parameters of several distributions expressablein inverse form Water Resour. Res. 15 1049-1054
[3]  
Landwehr JM(1990)L-moments: analysis and estimation of distributions using linear combinations of order statistics J. R. Stat. Soc. 52 105-124
[4]  
Matalas N(2017)characterization of generalized uniform distribution based on lower record values Prob. Stat. Forum 10 23-26
[5]  
Wallis J(2010)Variance residual life function in discrete random ageing Metron, LXVII I 67-75
[6]  
Hosking JRM(2003)Harmonic mean random polynomials and stochastic matrices Adv. Appl. Math. 31 501-526
[7]  
Khan M(2007)Some exponentiated distributions Korean Commun. Stat. 14 93-109
[8]  
Khan M(2019)Cubic transmuted uniform distribution: an alternative to beta and Kumaraswamy distributions Eur. J. Pure Appl. Math. 12 1106-1121
[9]  
Khorashadizadeh M(2019)Higher rank transmuted families of distributions IUG J. Nat. Stud. Natural Stud. 27 50-62
[10]  
Roknabadi AR(1948)A mathematical theory of communication Bell Syst. Tech. J. 27 379-423