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Estimation, Evaluation, and Selection of Actuarial Models

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2.2. ESTIMATION USING DATA-DEPENDENT DISTRIBUTIONS 11<br />

F(x)<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

0 25000 50000 75000 100000 125000<br />

x<br />

Ogive for general liability losses<br />

The derivative is simply a step function with the following values.<br />

⎧<br />

0.000058150, 0 ≤ x

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