Unformatted text preview: 35 months is ˆ S (35) = e59 / 60 = 0 . 37406. 5. (a) The values of y j ,s j and r j for all possible values of j are given in the following table: y j 0.7 2.8 3.4 3.8 4.7 5.1 s j 1 1 1 1 2 1 r j 8 10 9 7 6 4 (b) The BrownHollanderKowar estimate for the probability that a member in the group will survive at least 8 years is ˆ S (8) = ( ˆ S (5 . 1)) 8 / 6 = 0 . 20083 . 6. We have ˆ H ( y 5 )ˆ H ( y 4 ) = s 5 r 5 = 2 r 5 and ˆ H ( y 6 )ˆ H ( y 5 ) = s 6 r 6 = 1 r 6 . Hence, r 5 = 10, r 6 = 5, and the number of censored observations between death times y 5 and y 6 is 10+025 =3....
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 Winter '09
 johnny
 Normal Distribution, Probability theory, probability density function, θ

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