Truncated Exponentiated Lomax Distribution with Some Important Properties

Abstract

    In this paper, we introduce a new three-parameter of continuous distributions based on interval [0,1], the Truncated exponentiated Lomax (TEL) distribution, is presented and studied. Some Probabilistic properties are examined, The cumulative distribution  function, the rth moment, the median, the characteristic function, the hazard rate function  and the reliability function are obtained for the distribution under consideration. So maximum likelihood estimation is discussed. It is common knowledge that an object breaks down when the stress it experiences surpasses its matching strength. Strength can be defined as "resistance to failure" in this sense. A strong design always has a strength greater than the anticipated stress. Stress/strength is a definition of the safety factor in terms of stress and strength.. So, Here, the stress-strength model for the Truncated Exponentiated Lomax (TEL) distribution will be generated using various parameters. The Shannon entropy  will be obtained.