A new generated distribution to analyze a practical engineering problem and applications
-
1653
Downloads
-
2739
Views
Authors
Enayat M. Abd Elrazik
- Department of MIS, Yanbu, Taibah University, Saudi Arabia.
Mahmoud M. Mansour
- Department of Statistics, Mathematics and Insurance, Benha University, Egypt.
Abstract
There are many systems that can handle a mix of series-parallel or parallel-series systems. Here, a new three-parameter distribution motivated mainly by dealing with series-parallel or parallel-series systems is introduced. Moments, conditional moments, mean deviations, moment generating function, quantile, Lorenz, and Bonferroni curves of the new distribution including are presented. Entropy measures are given and estimation of its parameters is studied. Two real data applications are described to show its superior performance versus some known lifetime models.
Share and Cite
ISRP Style
Enayat M. Abd Elrazik, Mahmoud M. Mansour, A new generated distribution to analyze a practical engineering problem and applications, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 7, 470--484
AMA Style
Abd Elrazik Enayat M., Mansour Mahmoud M., A new generated distribution to analyze a practical engineering problem and applications. J. Nonlinear Sci. Appl. (2019); 12(7):470--484
Chicago/Turabian Style
Abd Elrazik, Enayat M., Mansour, Mahmoud M.. "A new generated distribution to analyze a practical engineering problem and applications." Journal of Nonlinear Sciences and Applications, 12, no. 7 (2019): 470--484
Keywords
- Lindley distribution
- geometric distribution
- maximum likelihood estimation
- truncated Poisson distribution
MSC
References
-
[1]
H. S. Bakouch, B. M. Al-Zahrani, A. A. Al-Shomrani, V. A. A. Marchi, F. Louzada , An extended Lindley distribution, J. Korean Statist. Soc., 41 (2012), 75–85.
-
[2]
T. Bjerkedal, Acquisition of Resistance in Guinea Pies infected with Different Doses of Virulent Tubercle, American J. Hygiene, 72 (1960), 130–148.
-
[3]
M. E. Ghitany, D. K. Al-Mutairi, S. Nadarajah , Zero-truncated Poisson-Lindley distribution and its Applications, Math. Comput. Simulation, 79 (2008), 279–287.
-
[4]
W. H. Gui, S. L. Zhang, X. M. Lu , The Lindley-Poisson distribution in lifetime analysis and its properties, Hacet. J. Math. Stat., 43 (2014), 1063–1077.
-
[5]
E. Mahmoudi, H. Zakerzadeh, Generalized poisson-lindley distribution, Comm. Statist. Theory Methods, 39 (2010), 1785–1798.
-
[6]
F. Merovci, Transmuted lindley distribution, Int. J. Open Prob. Comput. Sci. Math., 6 (2013), 63–72.
-
[7]
S. Nadarajah, H. S. Bakouch, R. Tahmasbi , A generalized Lindley distribution, Sankhya B, 73 (2011), 331–359.
-
[8]
S. Nadarajah, V. G. Cancho, E. M. M. Ortega , The geometric exponential Poisson distribution, Stat. Methods Appl., 22 (2013), 355–380.
-
[9]
A. Renyi , On measures of entropy and information, Proc. 4th Berkeley Sympos. Math. Statist. and Prob. (Univ. California Press, Berkeley), 1961 (1961 ), 547–561.
-
[10]
M. Sankaran, The discrete Poisson-Lindley distribution, Biometrics, 26 (1970), 145–149.
-
[11]
R. Shanker, S. Sharma, R. Shanker , A two-parameter Lindley distribution for modeling waiting and survival times data, Appl. Math., 4 (2013), 363–368.
-
[12]
C. E. Shannon, A Mathematical Theory of Communication, Bell System Tech. J., 27 (1948), 379–423, 623–656.
-
[13]
H. Zakerzadah, A. Dolati, Generalized Lindley distribution , J. Math. Ext., 3 (2010), 13–25.
-
[14]
H. Zakerzadeh, E. Mahmoudi, A new two parameter lifetime distribution: model and properties, arXiv preprint, 2012 (2012), 19 pages.