Rayleigh-uniform odd distribution and estimation of its parameters

Document Type : Research Paper


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

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


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.