[0,1] Truncated Fréchet-Pareto Distributions

Abstract

This work, a new continuous distribution built depend on [0,1] truncated Fréchet Pareto ([0,1] TFP) has been introduced and discussed. The cumulative distribution function and properties of the new distribution are obtained under consideration. It is clear that any item fails when it has a pressure to which it is subjected surpasses the conforming strength. Strength, can be noticed as “resistance to failure” in this case. The expected stress is less than techniques for strength if there is a good design practice. We can define the safety factor in expressions of strength and stress as strength/stress. Therefore, this work will derive the [0,1] TFP strength-stress model with more than one parameters. Moreover, this paper will drive the Shannon entropy and Relative entropy and Renyi entropy as well.