The Generalized Odd Lomax Generated Family of Distributions with Applications
Abstract
Keywords
References
- 1. Abdul-Moniem, I. B. and Abdel-Hameed, H. F., "On exponentiated Lomax distribution", International Journal of Mathematical Archive, 3(5): 2144-2150, (2012).2. Alzaatreh, A., Lee, C., &Famoye, F., "A new method for generating families of continuous distributions", Metron, 71(1): 63-79,(2013).3. Bidram, H., Alamatsaz, M. H., &Nekoukhou, V., "On an extension of the exponentiated Weibull distribution", Communications in Statistics-Simulation and Computation, 44(6): 1389-1404, (2015).4. Cordeiro, G. M., &Nadarajah, S., "Closed-form expressions for moments of a class of beta generalized distributions", Brazilian journal of probability and statistics, 25(1): 14-33, (2011).5. Cordeiro, G. M., Ortega, E. M., Popović, B. V., &Pescim, R. R., "The Lomax generator of distributions: Properties, minification process and regression model", Applied Mathematics and Computation, 247: 465-486, (2014). 6. Ghitany, M. E., Al-Hussaini, E. K., & Al-Jarallah, R. A., "Marshall–Olkin extended Weibull distribution and its application to censored data", Journal of Applied Statistics, 32(10): 1025-1034, (2005).7. Gupta, R. C., & Gupta, R. D., "Proportional reversed hazard rate model and its applications", Journal of Statistical Planning and Inference, 137(11): 3525-3536, (2007).8. Gupta, R. C., Gupta, P. L., & Gupta, R. D., "Modeling failure time data by Lehman alternatives", Communications in Statistics-Theory and methods, 27(4): 887-904, (1998).9. Gupta, R. D., &Kundu, D., "Theory & methods: Generalized exponential distributions", Australian & New Zealand Journal of Statistics, 41(2): 173-188, (1999).10. Kotz, S., Lumelskii, Y., &Pensky, M., The Stress-Strength Model and its Generalizations: Theory and Applications, World Scientic, New Jersey, (2003).11. Kundu, D., &Raqab, M. Z., "Generalized Rayleigh distribution: different methods of estimations", Computational statistics & data analysis, 49(1): 187-200, (2005).12. Lee, C.,Famoye, F., &Alzaatreh, A. Y., "Methods for generating families of univariate continuous distributions in the recent decades", Wiley Interdisciplinary Reviews: Computational Statistics, 5(3): 219-238, (2013).13. Lomax, K. S., "Business failures: Another example of the analysis of failure data", Journal of the American Statistical Association, 49(268): 847-852, (1954).14. Mandouh, R. M., "Lomax-Modified Weibull Distribution: A New Generalization", Journal of Advances in Mathematics and Computer Science, 27(1): 1-7; Article no. JAMCS.38975, (2018). 15. Marshall, A. W., &Olkin, I., "A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families", Biometrika, 84(3): 641-652, (1997).16. Mead, M. E. A., "A new generalization of Burr XII distribution", Journal of Statistics: Advances in Theory and Applications 12(2):53–73, (2014).17. Mudholkar, G. S., & Srivastava, D. K., "Exponentiated Weibull family for analyzing bathtub failure-rate data", IEEE transactions on reliability, 42(2): 299-302, (1993).18. Raqab, M. Z., Madi, M. T., &Kundu, D., "Estimation of P (Y< X) for the three-parameter generalized exponential distribution", Communications in Statistics-Theory and Methods, 37(18): 2854-2864, (2008).19. Rayleigh, L., "XII. On the resultant of a large number of vibrations of the same pitch and of arbitrary phase", The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 10(60): 73-78, (1880).20. Smith, R. L., & Naylor, J. C., "A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution", Applied Statistics, 358-369, (1987).21. Tahir, M. H., Cordeiro, G. M., Mansoor, M., & Zubair, M., "The Weibull-Lomax distribution: properties and applications", Hacettepe Journal of Mathematics and Statistics, 44(2): 461-480, (2015).22. Vidondo, B., Prairie, Y. T., Blanco, J. M., & Duarte, C. M., "Some aspects of the analysis of size spectra in aquatic ecology", Limnology and Oceanography, 42(1): 184-192, (1997).23. Weibull, W., "A Statistical Distribution Function of Wide Applicability", Journal of applied mechanics, 103(730): 293-297, (1951).
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Waleed Marzouk
Egypt
Farrukh Jamal
This is me
A-hadi N. Ahmed
This is me
A.a. E Ahmed
This is me
Publication Date
June 1, 2019
Submission Date
August 28, 2018
Acceptance Date
January 14, 2019
Published in Issue
Year 2019 Volume: 32 Number: 2