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

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4.4. Applications<br />

Pure Savings<br />

-5 0 5<br />

Comp. 1<br />

Comp. 2<br />

end.month04<br />

end.month07<br />

end.month10<br />

duration.rangelow.duration<br />

duration.rangemiddle.duration<br />

un<strong>de</strong>rwritingAge.range2<br />

un<strong>de</strong>rwritingAge.range3<br />

(Intercept)<br />

ibex<br />

rate10Y<br />

Comp. 3<br />

Comp. 4<br />

end.month04<br />

end.month07<br />

end.month10<br />

duration.rangelow.duration<br />

duration.rangemiddle.duration<br />

un<strong>de</strong>rwritingAge.range2<br />

un<strong>de</strong>rwritingAge.range3<br />

(Intercept)<br />

ibex<br />

rate10Y<br />

-5 0 5<br />

Figure 4.15 – Calibrage <strong>de</strong>s coefficients <strong>de</strong> régression par BIC.<br />

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

Pure_savings products (All)<br />

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

Pure_savings products (All)<br />

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

0% 0.5% 1% 1.5% 2% 2.5%<br />

Observed surr. rate<br />

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

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

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

0% 0.5% 1% 1.5% 2% 2.5%<br />

Observed surr. rate<br />

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

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

2004 2005 2006 2007<br />

2008 2009<br />

date<br />

date<br />

Figure 4.16 – Previsions <strong>de</strong> taux <strong>de</strong> rachat trimestriel par mélange <strong>de</strong> <strong>GLMs</strong> sélectionné via<br />

BIC.<br />

167

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