A new muth generated family of distributions with applications

Abstract

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.

Box-Cox Gamma-G Family of Distributions: Theory and Applications

“…(ii) The few existing extensions or generalizations of the half-Cauchy distribution give models which demonstrate good quality of the adjustment properties. See [35], and the references therein. (iii) Since λ has a great influence on the behavior of the BCG pdf and hrf when G(x; Ψ) → 0, one can expect a positive impact of this on the flexibility on the left tail of the half-Cauchy distribution.…”

The inverse Weibull inverse exponential distribution with application

“…In the recent years, many researchers are interested to expand generating family in order to obtain better fit for data analyzing. Some popular-known generating family are: The the beta-G by Eugene et al (2002), odd Frechet-G proposed by Haq and Elgarhy (2018), Muth-G studied by Almarashi and Elgarhy (2018), Elbatal et al (2018) proposed a new alpha power transformation family of distributions, Hassan and Nassr (2018) introduced inverse Weibull-G (IW-G) among others. The cdf and pdf of IW-G is (1) where G(.)…”

Truncated Weibull power Lomax distribution: statistical properties and applications

“…In the last years, many statisticians are interested to expand generating family in order to obtain better fit for data analyzing. Some known generating family are: The the beta-G by Eugene et al [6], Logistic-G introduced by Torabi and Montazeri [14], exponentiated Weibull-G studied by Hassan and Elgarhy [9], Kumaraswamy Weibull-G by Hassan and Elgarhy [8], Garhy-G of Elgarhy et al [5], Type II half logistic-G by Hassan et al [10], Najarzadegan et al [11] proposed a new truncated Weibull-G (TW-G), odd Fréchet-G proposed by Haq and Elgarhy [7], Muth-G studied by Almarashi and Elgarhy [2], and Elbatal et al [4] proposed a new alpha power transformation family of distributions among others.…”