Table 1 Some members of the T-X family.
W\(\left( F(x)\right)\) | Rang of T | The family | Author |
---|---|---|---|
F(x) | (0, 1) | Beta G family | |
Kumaraswamy G family | |||
\(-\log \left( 1-F^{\alpha }(x)\right)\) | \((0,\infty )\) | Exponentiated T-X family | |
\(\dfrac{-\log \left( 1-F(x)\right) }{1-F(x)}\) | \((0,\infty )\) | New Weibull-X family | |
\(\dfrac{-\log \left( 1-F^{\alpha }(x)\right) }{1-F^{\alpha }(x)}\) | \((0,\infty )\) | Jamal Weibull-X family | |
\(-\log \left( \dfrac{1-F(x)}{e^{F(x)}}\right)\) | \((0,\infty )\) | Weighted T-X family | |
\(X^{\theta }F(x)\) | (0, 1) | T-\(X^{\theta }\) family | Proposed |
\((0,\infty )\) |