Rayleigh-uniform odd distribution and estimation of its parameters

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Education for Girls, University of Kufa, Iraq

2 Department of Mathematics, Faculty of Education, University of Kufa, Iraq

Abstract

This study is concerned with generating odd distribution by combining Rayleigh distribution to uniform distribution, denoted by (RUOD). We drive the distribution function (df), its probability density function (pdf), and we discuss some other properties like the survival function, moments and graphs of such functions. Also, we estimate the parameters model of the generated distribution RUOD by using the maximum likelihood method to find the approximate values that fit the desired distribution. Eventually, we analyze some data set by the generated RUOD and compare the results upon the goodness-of-fit measures with respect to Rayleigh distribution to decide the best distribution that fits the data set.

Keywords

[1] A.A. Ahmed, Estimation of parameters model based on a modification of newton-raphson method, Turk. J. Comput. Math. Educ. 12(13) (2021) 1484–1491.
[2] M. Ajami and S.M.A. Jahanshahi, Parameter estimation in weighted Rayleigh distribution, J. Modern Appl.
Statist. Methods 16(2) (2017).
[3] A.S. Hassan and M. algraphy, Kumaraswamy weibull-generated family of distributions with applications, Adv.
Appl. Statist. 48 (2016) 205–239.
[4] C. Kim and K. Han, Estimation of the scale parameter of the Rayleigh distribution under general progressive
censoring, J. Korean Statist. Soc. 38(3) (2009) 239–246.
[5] F. Mitrovic, Transmuted rayleigh distribution, Aust. J. Statist. 42(1) (2013) 21–31.
[6] A. Moesia and M.Y. shatalov, Exact solutions for a tow-parameter rayleigh distribution, J. Pure Appl. Math.
13(11) (2017) 8039–8051.
[7] S. Muhammad and K. Abed AL-Kadin, Odd generalized exponential weibull exponential distribution, J. Engin.
Appl. Sci. 16(11) (2019) 10360–10386.
[8] A. Mustafa, B.S. El-Desouky and S. AL-Girahs, Weibull generalized exponential distribution, axis preprint
arXiv:1606.07378vl [math ST]. 2 (2016).
[9] Sh. Sharma and A.J. Obaid, Mathematical modelling, analysis and design of fuzzy logic controller for the control
of ventilation systems using MATLAB fuzzy logic toolbox, J. Interdis. Math. 23(4) (2020) 843–849.[10] H. Torabi and N.M. Heeds, The gamma-uniform distribution and its applications, Cybernetic 48(1) (2012) 16–30.
[11] H. Torabi and N. Montazeri Hedesh, The gamma-uniform distribution and its applications, Cybernetika 48(1)
(2012) 16–30.
[12] A.M. Ulhas and M. Elgar, The odd Fr´echet-G family of probability distributions, J. Statist. Appl. Prob. 7(1)
(2018) 185–201.
[13] K. Zoografts and N. Balakrishnan, On families of beta-and generalized gamma-generated distributions and associated inference, Statist. Method. 6(4) (2009) 344–362.
Volume 12, Special Issue
December 2021
Pages 2223-2230
  • Receive Date: 17 October 2021
  • Revise Date: 11 November 2021
  • Accept Date: 09 December 2021