Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 207 / 6 / a / ii

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- Solution ii

Solution

An exact death at 42 months contributes the probability mass at 42,

P (T = 42) = F (42) - F (4 2^{-}) = S (4 2^{-}) - S (42) .

For a continuous model this is represented by the event density

f (42)

rather than a point mass, but empirical likelihood permits discrete masses.

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