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Mélanges de GLMs et nombre de composantes : application ... - Scor

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4.4. Applications<br />

Unit-Link<br />

-15 -10 -5 0 5<br />

Comp. 1<br />

Comp. 2 Comp. 3<br />

end.month04<br />

end.month07<br />

end.month10<br />

duration.rangelow.duration<br />

duration.rangemiddle.duration<br />

riskPrem.rangelow.risk.premium<br />

riskPrem.rangemiddle.risk.premium<br />

(Intercept)<br />

ibex<br />

Comp. 4 Comp. 5<br />

Comp. 6<br />

end.month04<br />

end.month07<br />

end.month10<br />

duration.rangelow.duration<br />

duration.rangemiddle.duration<br />

riskPrem.rangelow.risk.premium<br />

riskPrem.rangemiddle.risk.premium<br />

(Intercept)<br />

ibex<br />

-15 -10 -5 0 5<br />

-15 -10 -5 0 5<br />

Figure 4.11 – Calibrage <strong>de</strong>s coefficients <strong>de</strong> régression par BIC.<br />

Observed surr. rate<br />

Mo<strong>de</strong>led surr. rate<br />

95 % confi<strong>de</strong>nce interval<br />

Learning sample (3 months basis),<br />

Unit-Link products (All)<br />

Observed surr. rate<br />

Mo<strong>de</strong>led surr. rate<br />

95 % confi<strong>de</strong>nce interval<br />

Validation sample (3 months basis),<br />

Unit-Link products (All)<br />

surren<strong>de</strong>r rate<br />

0% 2% 4% 6% 8%<br />

surren<strong>de</strong>r rate<br />

0% 2% 4% 6% 8%<br />

2000 2001 2002 2003 2004 2005<br />

date<br />

2006 2007 2008<br />

date<br />

Figure 4.12 – Previsions <strong>de</strong> taux <strong>de</strong> rachat trimestriel par mélange <strong>de</strong> <strong>GLMs</strong> sélectionné via<br />

BIC.<br />

165

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