For a mortality study of insurance applicants in two countries, you are given: (i) Country B Y, Country A d, Y, 0, d, 1 20 200 0.05 15 100 0.10 2 54 180 0.10 20 85 0.10 3 14 126 0.15 20 65 0.10 4 22 112 0.20 10 45 0.10 Y, is the number at risk over the period (t-1,4). Deaths during the period (t-1,4) a assumed to occur at t,. (ii) 0, is the reference hazard rate over the period (t-1,4,). Within a country, 0, is the same for all study participants. (ii) (iv) s" (t) is the Product-Limit estimate of S(t) based on the data for all study participants. (v) S(t) is the Product-Limit estimate of S(t) based on the data for study participants in Country B. Determine s"(4)– s®(4) .

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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For a mortality study of insurance applicants in two countries, you are given:
(i)
Country A
Country B
'p
20
Y,
'p
15
Y,
e,
1
200
0.05
100
0.10
2
54
180
0.10
20
85
0.10
3
14
126
0.15
20
65
0.10
4
22
112
0.20
10
45
0.10
Y, is the number at risk over the period (t-1,t,). Deaths during the period (t-1,t)
assumed to occur at t,.
(ii)
0, is the reference hazard rate over the period (t-1,t,). Within a country, 0, is the
same for all study participants.
(iii)
(iv)
s'(t) is the Product-Limit estimate of S(t) based on the data for all study
participants.
s* (t) is the Product-Limit estimate of S(t) based on the data for study participants in
Country B.
(v)
Determine |s"(4)– s®(4) .
Transcribed Image Text:For a mortality study of insurance applicants in two countries, you are given: (i) Country A Country B 'p 20 Y, 'p 15 Y, e, 1 200 0.05 100 0.10 2 54 180 0.10 20 85 0.10 3 14 126 0.15 20 65 0.10 4 22 112 0.20 10 45 0.10 Y, is the number at risk over the period (t-1,t,). Deaths during the period (t-1,t) assumed to occur at t,. (ii) 0, is the reference hazard rate over the period (t-1,t,). Within a country, 0, is the same for all study participants. (iii) (iv) s'(t) is the Product-Limit estimate of S(t) based on the data for all study participants. s* (t) is the Product-Limit estimate of S(t) based on the data for study participants in Country B. (v) Determine |s"(4)– s®(4) .
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