Truncated Weibull power Lomax distribution: statistical properties and applications
Volume 12, Issue 8, pp 543--551
http://dx.doi.org/10.22436/jnsa.012.08.05
Publication Date: March 18, 2019
Submission Date: December 20, 2018
Revision Date: January 04, 2019
Accteptance Date: January 14, 2019
-
2214
Downloads
-
4087
Views
Authors
Sanaa Al-Marzouki
- Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia.
Abstract
A new four-parameter distribution, called the truncated Weibull power Lomax (TWPL) distribution is introduced. We calculate the density (pdf), distribution function (cdf), quantile function, r\(^{\rm th}\) moment, inequality measures, and order statistics. Maximum Likelihood methods to estimate the TWPL distribution parameters are proposed. Two real data sets are applied to illustrate the flexibility of the TWPL model compared with some Known distributions.
Share and Cite
ISRP Style
Sanaa Al-Marzouki, Truncated Weibull power Lomax distribution: statistical properties and applications, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 8, 543--551
AMA Style
Al-Marzouki Sanaa, Truncated Weibull power Lomax distribution: statistical properties and applications. J. Nonlinear Sci. Appl. (2019); 12(8):543--551
Chicago/Turabian Style
Al-Marzouki, Sanaa. "Truncated Weibull power Lomax distribution: statistical properties and applications." Journal of Nonlinear Sciences and Applications, 12, no. 8 (2019): 543--551
Keywords
- Power Lomax distribution
- truncated Weibull-G family
- moments
- order statistics
MSC
References
-
[1]
I. B. Abdul-Moniem, H. F. Abdel-Hameed, On exponentiated Lomax distribution, Int. J. Math. Arch., 3 (2012), 2144--2150
-
[2]
A. M. Almarashi, M. Elgarhy, A new muth generated family of distributions with applications, J. Nonlinear Sci. Appl., 11 (2018), 1171--1184
-
[3]
G. M. Cordeiro, E. M. M. Ortega, B. V. Popović, The gamma Lomax distribution, J. Stat. Comput. Simul., 85 (2015), 305--319
-
[4]
I. Elbatal, Z. Ahmad, M. Elgarhy, A. M. Almarashi, A New alpha power transformed family of distributions: properties and applications to the Weibull model, J. Nonlinear Sci. Appl., 12 (2019), 1--20
-
[5]
M. Elgarhy, A. S. Hassan, M. Rashed, Garhy-generated family of distributions with application, Math. Theory Model., 6 (2016), 1--15
-
[6]
N. Eugene, C. Lee, F. Famoye, Beta-normal distribution and its applications, Comm. Statist. Theory Methods, 31 (2002), 497--512
-
[7]
M. Haq, M. Elgarhy, The odd Fr\'echet-G family of probability distributions, J. Stat. Appl. Prob., 7 (2018), 185--201
-
[8]
A. S. Hassan, M. Elgarhy, A new family of exponentiated Weibull-generated distributions, Int. J. Math. Appl., 4 (2016), 135--148
-
[9]
A. S. Hassan, M. Elgarhy, Kumaraswamy Weibull-generated family of distributions with applications, Adv. Appl. Stat., 48 (2016), 205--239
-
[10]
A. S. Hassan, M. Elgarhy, M. Shakil, Type II half Logistic family of distributions with applications, Pak. J. Stat. Oper. Res., 13 (2017), 245--264
-
[11]
H. Najarzadegan, M. H. Alamatsaz, S. Hayati, Truncated Weibull-G more flexible and more reliable than geta-G distribution, Int. J. Stat. Prob., 6 (2017), 1--17
-
[12]
E. H. A. Rady, W. A. Hassanein, T. A. Elhaddad, The power Lomax distribution with an application to bladder cancer data, SpringerPlus, 5 (2016), 22 pages
-
[13]
M. H. Tahir, G. M. Cordeiro, M. Mansoor, M. Zubair, The Weibull-Lomax distribution: properties and applications, Hacet. J. Math. Stat., 44 (2015), 455--474
-
[14]
H. Torabi, N. H. Montazari, The logistic-uniform distribution and its application, Comm. Statist. Simulation Comput., 43 (2014), 2551--2569