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.
Rabie, Abdelhamid M., Metawally, Nader, Eisa, Abd El-Hamid, & Abdelhami, Mostafa. (2023). The Generalized Weibull Uniform Log Logistic Distribution. المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 29(1), 108-130. doi: 10.21608/jsfc.2023.372556
MLA
Abdelhamid M. Rabie; Nader Metawally; Abd El-Hamid Eisa; Mostafa Abdelhami. "The Generalized Weibull Uniform Log Logistic Distribution", المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 29, 1, 2023, 108-130. doi: 10.21608/jsfc.2023.372556
HARVARD
Rabie, Abdelhamid M., Metawally, Nader, Eisa, Abd El-Hamid, Abdelhami, Mostafa. (2023). 'The Generalized Weibull Uniform Log Logistic Distribution', المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 29(1), pp. 108-130. doi: 10.21608/jsfc.2023.372556
VANCOUVER
Rabie, Abdelhamid M., Metawally, Nader, Eisa, Abd El-Hamid, Abdelhami, Mostafa. The Generalized Weibull Uniform Log Logistic Distribution. المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر, 2023; 29(1): 108-130. doi: 10.21608/jsfc.2023.372556
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