The Generalized Weibull Uniform Log Logistic Distribution | ||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||
| Volume 29, Issue 1, January 2023, Pages 108-130 PDF (1.27 M) | ||
| DOI: 10.21608/jsfc.2023.372556 | ||
| 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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