Distribution | q(·) | G(x) | g(x) |
---|---|---|---|
E M O N(p,α,λ,μ,σ 2) | \(\frac {\alpha \lambda (1-p)}{\sigma }\) | \(\phi \left (\frac {x-\mu }{\sigma }\right)\) | \(\phi \left (\frac {x-\mu }{\sigma }\right)\) |
E M O F r(p,α,λ,β,σ) | α λ(1−p)β | \(\exp \left \{-\left (\frac {\sigma }{x}\right)^{\beta }\right \}\) | \(\sigma ^{\beta } x^{-\beta -1}\exp \left \{-\left (\frac {\sigma }{x}\right)^{\beta }\right \}\) |
E M O G a(p,α,λ,a,b) | \(\frac {\alpha \lambda (1-p)b^{a}}{\Gamma (a)}\) | \(\frac {\gamma (a,bx)}{\Gamma (a)}\) | \(\frac {b^{a}}{\Gamma (a)}x^{a-1}e^{-bx}\) |
E M O B(p,α,λ,a,b) | \(\frac {\alpha \lambda (1-p)}{B(a,b)}\) | \(\frac {{\int \limits _{0}^{x}}w^{a-1}(1-w)^{b-1}dw}{B(a,b)}\) | \(\frac {1}{B(a,b)}x^{a-1}(1-x)^{b-1}\) |
E M O G u(p,α,λ,μ,σ) | \(\frac {\alpha \lambda (1-p)}{\sigma }\) | \(\text {exp}\left \{{-\text {exp}\left [-\left (\frac {x-\mu }{\sigma }\right)\right ]}\right \}\) | \(\text {exp}\left \{-\text {exp}\left [-\frac {(x-\mu)}{\sigma }\right ]-\frac {(x-\mu)}{\sigma }\right \}\) |