On the New Mixture Sushila and Rayleigh Distributions: Mathematical Properties and Application
Keywords:
Lifetime distribution, right skewed distribution, maximum likelihood estimation, mixture distributionAbstract
In this study, a newly proposed mixture of Sushila and Rayleigh distributions is presented, introducing a right-skewed pattern in the distribution of lifetime data. The fundamental properties of the distribution have been derived. Parameter estimation for the new mixture of Rayleigh and Sushila distributions is conducted using the maximum likelihood method. The application of this new mixture in modeling remission times for bladder cancer is explored. Results indicate that the Sushila and Rayleigh distributions mixture provides a better fit for bladder cancer remission times compared to other existing distributions.
References
Adetunji AA. Transmuted Sushila Distribution and its application to lifetime data. J Math Anal
Model. 2021; 2(1): 1-4.
Al-Noor NH, Assi NK. Rayleigh-Rayleigh distribution: properties and applications. In Journal of Physics: Conference Series 2020; 1591(1): 012038.
Lawless JF. Statistical models and methods for lifetime data. New York: John Wiley & Sons; 2011.
Marin JM, Mengersen K, Robert CP. Bayesian modelling and inference on mixtures of distributions. Handbook of statistics. 2005; p.459-507.
Merovci F. Transmuted Lindley distribution. Int J Open Problems Comput Math. 2013; 6(2): 63-72.
Mohammed ME, Al-Aidi AK. Maxwell-Rayleigh Distribution and Its Applications.Turk J Comput Math Educ. 2021; 12(14): 4431-4440.
Sabah SAlA, Quraishy KAAA. The Topp-Leone G-Rayleigh Rayleigh Distribution: Properties and Applications. J Algebr Stat. 2022; 13(2): 2682-2691.
Shanker R, Fesshaye H, Sharma S. On Quasi Lindley distribution and its applications to model lifetime data. Int J Stat Distrib Appl. 2016; 2(1): 1-7.
Shanker R, Sharma S, Shanker U, Shanker R. Sushila distribution and its application to waiting times data. Int J Bus Manag. 2013; 3(2): 1-11.
Rayleigh L. XII. On the resultant of a large number of vibrations of the same pitch and of arbitrary phase. Lond Edinb Dubl Phil Mag. 1880; 10(60): 73-78.
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