hw5 - UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Actuarial...

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1 UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Actuarial Science Program DEPARTMENT OF MATHEMATICS Math 478 / 568 P r o f . R i c k G o r v e t t Actuarial Modeling Spring 2011 Homework Assignment # 5 (max. points = 10) Due at the beginning of class on Thursday, March 15, 2011 You are encouraged to work on these problems in groups of no more than 3 or 4. However, each student must hand in her/his own answer sheet. Please show your work – enough to show that you understand how to do the problem – and circle your final answer. Full credit can only be given if the answer and approach are appropriate. Please provide answers to two decimal places. Each problem is worth one point. The following exposure and loss data from a survival study (where y j is the time of death for each of a cohort of 20 people) is to be used for problems (1) through (3): j y j s j 1 2 1 2 6 3 3 8 5 4 11 9 5 14 2 1) Find the Nelson-Åalen estimate of the cumulative hazard rate at time y j = 12, and use it to estimate the survival function,
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hw5 - UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Actuarial...

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