The New Mixed Hypoexponential-G Family

Abstract

Through viewing out the literature, many generated distributions took a new special form of probability density function (PDF) in which it is written as a linear combination of n other distributions. Therefore, we define in this paper a new type of distributions called "The New Mixed Distribution" form in which a distribution is written as a linear combination of n others and derive its characteristics. Second we construct "The New Mixed T-G family" a family of distributions following another new defined type "The New Mixed T-G Distribution". Third, we generate "The New Mixed Hypoexponential G-Family" out of 6 new mixed distributions with characterizing their PDFs, CDFs, hazard rate and reliability functions, MGF, and nth moment, and studying their maximum likelihood estimator and method of moments.