The Generalized Weibull Uniform Log Logistic Distribution | ||||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||||
| Volume 29, Issue 1, January 2023, Page 108-130 PDF (1.27 MB) | ||||
| DOI: 10.21608/jsfc.2023.372556 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Abdelhamid M. Rabie; Nader Metawally; Abd El-Hamid Eisa; Mostafa Abdelhami | ||||
| Abstract | ||||
| 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. Three new distributions of the T-X family are derived, namely, the Generalized Weibull Uniform Log Logistic Distribution (GRU {LL}). Different methods of estimation are used to estimate the unknown parameters in complete and censored random samples. | ||||
| Keywords | ||||
| Key wards T-X families; Weibull Distribution; Log logistic distribution; Generalized Weibull Uniform Log Logistic Distribution; quintile function | ||||
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