[0, 1]truncated exponential Marshall Olkin Rayleigh distribution properties and applications

Abstract EN

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.