Estimation, Evaluation, and Selection of Actuarial Models
Estimation, Evaluation, and Selection of Actuarial Models
Estimation, Evaluation, and Selection of Actuarial Models
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122 APPENDIX A. SOLUTIONS TO EXERCISES<br />
For Data Set C the parameter estimates are ˆτ =0.47936 <strong>and</strong> ˆθ =11, 976. The plot is given<br />
below.<br />
Weibull Fit<br />
0.00006<br />
0.00005<br />
f(x)<br />
0.00004<br />
0.00003<br />
0.00002<br />
Model<br />
Empirical<br />
0.00001<br />
0<br />
0 50000 100000 150000 200000 250000 300000<br />
x<br />
Pdf <strong>and</strong> histogram for Data Set C<br />
Exercise 76 For Data Set B truncated at 50, the plot is given below.<br />
Weibull Fit<br />
D(x)<br />
0.1<br />
0.08<br />
0.06<br />
0.04<br />
0.02<br />
0<br />
-0.02<br />
-0.04<br />
-0.06<br />
-0.08<br />
-0.1<br />
0 500 1000 1500 2000 2500 3000 3500<br />
x<br />
Difference plot for Data Set B truncated at 50<br />
For Data Set B censored at 1,000, the plot is given below.
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