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.
fathi, nader, fathi, Nader, Eisa, Abd El-Hamid, & Abdelhamid, Mostafa. (2024). The Generalized Weibull Family of Distribution. المجلة العلمية للدراسات والبحوث المالية والتجارية, 5(1), 657-685. doi: 10.21608/cfdj.2024.324112
MLA
nader fathi; Nader fathi; Abd El-Hamid Eisa; Mostafa Abdelhamid. "The Generalized Weibull Family of Distribution". المجلة العلمية للدراسات والبحوث المالية والتجارية, 5, 1, 2024, 657-685. doi: 10.21608/cfdj.2024.324112
HARVARD
fathi, nader, fathi, Nader, Eisa, Abd El-Hamid, Abdelhamid, Mostafa. (2024). 'The Generalized Weibull Family of Distribution', المجلة العلمية للدراسات والبحوث المالية والتجارية, 5(1), pp. 657-685. doi: 10.21608/cfdj.2024.324112
VANCOUVER
fathi, nader, fathi, Nader, Eisa, Abd El-Hamid, Abdelhamid, Mostafa. The Generalized Weibull Family of Distribution. المجلة العلمية للدراسات والبحوث المالية والتجارية, 2024; 5(1): 657-685. doi: 10.21608/cfdj.2024.324112
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