TY - JOUR AU - Almarashi, Abdullah M. AU - Elgarhy, M. PY - 2018 TI - A new muth generated family of distributions with applications JO - Journal of Nonlinear Sciences and Applications SP - 1171--1184 VL - 11 IS - 10 AB - A new family of distributions called the Muth family of distributions is introduced and studied. Five special submodels of the proposed family are discussed. Some mathematical properties of the Muth family are studied. Explicit expressions for the probability weighted, moments, mean deviation and order statistics are investigated. Maximum likelihood procedure is used to estimate the unknown parameters. One real data set is employed to show the usefulness of the new family. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.10.06 DO - 10.22436/jnsa.011.10.06 ID - Almarashi2018 ER -