Abstract
For the purpose of obtaining distributions characterized by flexibility, in this research a new distribution was proposed, called the truncated generalized exponential distribution [0,1]TEE-E, by integrating the family of the truncated generalized exponential with the Exponential Distribution, where we showed the density function pdf and the cumulative function cdf for the new distribution and then derived Statistical characteristics of the [0,1] TEE-E distribution, which is the quantitative function, and moments. This distribution was tested using real data, where the distribution proved its appropriateness to the data, after comparing it with other distributions through the use of some statistical criteria.