The Kumaraswamy GEV distribution - University of Manchester
The Kumaraswamy GEV distribution - University of Manchester
The Kumaraswamy GEV distribution - University of Manchester
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Hazard rate function<br />
h(x) = (abu 1+ξ exp(−au))/(σ(1 − exp(−au))),<br />
HRF<br />
HRF<br />
0 200 400 600<br />
0.2 0.6 1.0 1.4<br />
ξ = − 0.5<br />
−2 −1 0 1 2<br />
x<br />
ξ = 0.5<br />
2 3 4 5 6<br />
x<br />
HRF<br />
HRF<br />
0.0 1.0 2.0 3.0<br />
0.2 0.6 1.0<br />
ξ = 0<br />
−2 −1 0 1 2<br />
x<br />
ξ = 1<br />
1 2 3 4 5<br />
Figure: Plots <strong>of</strong> (3) for µ = 0, σ = 1, ξ = −0.5, 0, 0.5, 1, (a, b) = (0.5, 0.5) (solid curve), (a, b) = (0.5, 1) (curve <strong>of</strong><br />
dashes), (a, b) = (0.5, 3) (curve <strong>of</strong> dots) and (a, b) = (3, 3) (curve <strong>of</strong> dots and dashes).<br />
S.Eljabri (<strong>University</strong> <strong>of</strong> <strong>Manchester</strong>) Kum-<strong>GEV</strong> Distribution MRSc, Sep 28,2012 22 / 39<br />
x
Change language