The Odds Exponential-Pareto IV Distribution: Regression Model and Application

被引:9
作者
Baharith, Lamya A. [1 ]
AL-Beladi, Kholod M. [1 ,2 ]
Klakattawi, Hadeel S. [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21589, Saudi Arabia
[2] Univ Jeddah, Fac Sci, Dept Stat, Jeddah 21959, Saudi Arabia
关键词
Pareto IV; odds exponential-Pareto IV distribution; censored data; regression model; maximum likelihood; Jackknife method; residual analysis; global influence; INFLUENCE DIAGNOSTICS; BURR;
D O I
10.3390/e22050497
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This article introduces the odds exponential-Pareto IV distribution, which belongs to the odds family of distributions. We studied the statistical properties of this new distribution. The odds exponential-Pareto IV distribution provided decreasing, increasing, and upside-down hazard functions. We employed the maximum likelihood method to estimate the distribution parameters. The estimators performance was assessed by conducting simulation studies. A new log location-scale regression model based on the odds exponential-Pareto IV distribution was also introduced. Parameter estimates of the proposed model were obtained using both maximum likelihood and jackknife methods for right-censored data. Real data sets were analyzed under the odds exponential-Pareto IV distribution and log odds exponential-Pareto IV regression model to show their flexibility and potentiality.
引用
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页数:23
相关论文
共 55 条
[1]  
Abdi H., 2010, ENCY RES DESIGN 2
[2]  
Afify A.Z., 2020, J APPL PROBAB STAT, V15, P45
[3]   The four-parameter Burr XII distribution: Properties, regression model, and applications [J].
Afify, Ahmed Z. ;
Cordeiro, Gauss M. ;
Ortega, Edwin M. M. ;
Yousof, Haitham M. ;
Butt, Nadeem Shafique .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (11) :2605-2624
[4]  
Afify AZ, 2016, J STAT THEORY APPL, V15, P326, DOI 10.2991/jsta.2016.15.4.2
[5]   The Weibull Frechet distribution and its applications [J].
Afify, Ahmed Z. ;
Yousof, Haitham M. ;
Cordeiro, Gauss M. ;
Ortega, Edwin M. M. ;
Nofal, Zohdy M. .
JOURNAL OF APPLIED STATISTICS, 2016, 43 (14) :2608-2626
[6]   The beta-Pareto distribution [J].
Akinsete, Alfred ;
Famoye, Felix ;
Lee, Carl .
STATISTICS, 2008, 42 (06) :547-563
[7]  
Al-Amoudi HH, 2016, INT J ADV APPL SCI, V3, P1
[8]  
Al-Kadim K.A., 2013, MATH THEORY MODEL, V3, P135
[9]  
Alamoudi H.H., 2017, INT J ADV STAT PROBA, V5, P23, DOI [10.14419/ijasp.v5i1.7221, DOI 10.14419/IJASP.V5I1.7221]
[10]   The Odd Exponentiated Half-Logistic Burr XII Distribution [J].
Aldahlan, Maha A. D. ;
Afify, Ahmed Z. .
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2018, 14 (02) :305-317