The Generalized Weibull Family of Distribution | ||||
| المجلة العلمية للدراسات والبحوث المالية والتجارية | ||||
| Article 25, Volume 5, Issue 1, January 2024, Page 657-685 PDF (2.03 MB) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/cfdj.2024.324112 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| nader fathi1; Nader fathi1; Abd El-Hamid Eisa2; Mostafa Abdelhamid3 | ||||
| 1جامعة الازهر | ||||
| 2كلية التجارة جامعة الازهر | ||||
| 3معهد الجزيرة | ||||
| Abstract | ||||
| In this article the T-X family is introduced by givening the cumulative distribution function (CDF) R{W(F(x))}, where R is the CDF of a random variable T, F is the CDF of X and W is an increasing function defined on [0, 1] having the support of T as its range. This family provides a new method of generating univariate distributions. Different choices of the R, F and W functions give different families of distributions. We used the quintile functions to define the W function. Some general properties of this T-X system of distributions are studied. A new distribution of the T-X family is derived, namely, the Generalized Weibull Uniform Log Logistic Distribution (GRU {LL}) with four parameter. Different methods of estimation are used to estimate the unknown parameters in complete and censored random samples. | ||||
| Keywords | ||||
| T-X families; Weibull Distribution; Log logistic Distribution; Generalized Weibull Uniform Log Logistic Distribution; quintile function | ||||
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