[0,1]Truncated Exponential Marshall Olkin Rayleigh distribution Properties and Applications

Abstract

In this research we suggest a new compound distribution called [0,1]Truncated Exponential Marshall Olkin Rayleigh (TEMO-R). This distribution has three parameters therefore it has very flexibility for fitting many different types of data. This distribution gives different shapes such as shape symmetrical, right-skewed. The probability density function has been expanded and many mathematical and statistical characteristics have been created, were found including the Quantile Function, the moments, the moments -generating function, entropy, order statistics. By maximum likelihood method was estimated the parameters of the new distribution.