ACTL1101 Lecture Notes - Lecture 9: Cumulative Distribution Function, Survival Analysis, Survival Function

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25 Oct 2018
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1. 2 hazard rate : force of mortality . Probability model to calculate: the probability that a life will survive, expected payments for life insurance and annuity contracts. Two important tools: survival function, hazard rate. Fx (0) = 0, so that s(0) = 1 s(x) = pr [x > x] = 1 fx (x), x 0. Pr [a and b] = pr [a] pr [b|a] Survival function for a life aged x (cont"d) Given that a life is aged x, the probability that the life will survive to age z (z > x) is: Pr [x > z and x > x] Determine the probability that a life aged 20 will survive to age 65. 100 required probability is s (65) s (20) The probability that a life aged x will die between the ages of y and z (z > y > x) is: Pr [y < x z and x > x]

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