3. (Graduation) The following table reports the number at risk and exits by the event for age under 30. Age(x) lx 0 dx Age(x) Ix dx 103 0 15 64 4 1 -234567822=22: 103 0 16 60 4 103 3 17 56 7 100 1 18 49 10 99 1 19 39 6 98 3 20 33 3 95 2 21 30 10 10 11 12 13 14 22222222 93 1 22 20 8 92 2 23 124 90 86 82 79 75 72 1443 +38 4 29 222222 24 8 3 25 5 26 5 27 2 2 1 Table 2: Actuarial table. Under Binomial model, use the following inverse logit model for graduation qx = logit¯¹ (pn(x)), where p(x) = 0 + α₁x + a2x² + ... + Anx”. Compare the results for n = 1, n = 2 and n = 3. Provide statistical tests (x²-test, standardized deviations test, sign test, change-of-sign test, and lag-1 serial correlation test) on the quality of goodness-of-fit of the model.
3. (Graduation) The following table reports the number at risk and exits by the event for age under 30. Age(x) lx 0 dx Age(x) Ix dx 103 0 15 64 4 1 -234567822=22: 103 0 16 60 4 103 3 17 56 7 100 1 18 49 10 99 1 19 39 6 98 3 20 33 3 95 2 21 30 10 10 11 12 13 14 22222222 93 1 22 20 8 92 2 23 124 90 86 82 79 75 72 1443 +38 4 29 222222 24 8 3 25 5 26 5 27 2 2 1 Table 2: Actuarial table. Under Binomial model, use the following inverse logit model for graduation qx = logit¯¹ (pn(x)), where p(x) = 0 + α₁x + a2x² + ... + Anx”. Compare the results for n = 1, n = 2 and n = 3. Provide statistical tests (x²-test, standardized deviations test, sign test, change-of-sign test, and lag-1 serial correlation test) on the quality of goodness-of-fit of the model.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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