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

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4.4. Applications<br />

Ahorro<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 />

premium.frequencyperiodic<br />

premium.frequencyunique<br />

PB.guaranteewithout_PB<br />

(Intercept)<br />

rate10YIncrease<br />

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

Comp. 1<br />

Comp. 2 Comp. 3<br />

Comp. 5 Comp. 6<br />

Comp. 7<br />

-8 -6 -4 -2 0 2<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 />

premium.frequencyperiodic<br />

premium.frequencyunique<br />

PB.guaranteewithout_PB<br />

(Intercept)<br />

rate10YIncrease<br />

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

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

Figure 4.7 – 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 />

Ahorro 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 />

Ahorro products (All)<br />

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

0% 1% 2% 3% 4%<br />

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

0% 1% 2% 3% 4%<br />

2000 2001 2002 2003 2004 2005<br />

date<br />

2006 2007 2008<br />

date<br />

Figure 4.8 – Previsions <strong>de</strong> taux <strong>de</strong> rachat trimestriel par mélange <strong>de</strong> <strong>GLMs</strong> sélectionné via<br />

BIC.<br />

163

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