The Kumaraswamy GEV distribution - University of Manchester
The Kumaraswamy GEV distribution - University of Manchester
The Kumaraswamy GEV distribution - University of Manchester
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Sub-models <strong>of</strong> the Kum-<strong>GEV</strong> <strong>distribution</strong><br />
<strong>The</strong> Kum-<strong>GEV</strong> <strong>distribution</strong> can be reduced to some sub-models for some special values <strong>of</strong> the<br />
shape parameters.<br />
f (x) = σ −1 a b u 1+ξ exp(−au) {1 − exp(−au)} b−1 .<br />
Parameters<br />
Distribution a b µ σ ξ<br />
Gumbel 1 1 - - → 0<br />
Frechét 1 1 - - > 0<br />
Weibull 1 1 - - < 0<br />
<strong>GEV</strong>D 1 1 - - -<br />
KumG - - - - → 0<br />
KumW - - - - < 0<br />
Table: Some sub-models <strong>of</strong> the Kum-<strong>GEV</strong> <strong>distribution</strong>.<br />
S.Eljabri (<strong>University</strong> <strong>of</strong> <strong>Manchester</strong>) Kum-<strong>GEV</strong> Distribution MRSc, Sep 28,2012 20 / 39
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