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Showing posts from April, 2018

### CFM vs UDD vs Balducci

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Life Tables: It is a computational tool based on a specific survival model. Our
task is to generate a survival model and our output will be a life table. Life
table is based on Unitary method. lx= Expected no. of lives at age x dx= Expected no. of deaths between exact age x and exact
age x+1 NOTE: We call it expected and not actual because most of the values
will be in decimal too, so how can it be actual.

1.CFM ·It assumes that the force of mortality is constant, i.e. ux+t = ux ·If the force of mortality of a newborn is constant, it means that the expected future lifetime of this life is 1/μ no matter what age he is in. ·Survival Function in this case will decrease exponentially. ·If 0<s<t<1 then t-spx+s = tpx/spx …

*But there is a limitation of Life Tables:*It is defined only for integer ages. If we have to calculate probability of death/survival at any non-integer age we will use 3 assumptions: 1.**CFM=**Constant Force of Mortality 2.**UDD=**Uniform Distribution of death 3.**Balducci assumption**1.CFM ·It assumes that the force of mortality is constant, i.e. ux+t = ux ·If the force of mortality of a newborn is constant, it means that the expected future lifetime of this life is 1/μ no matter what age he is in. ·Survival Function in this case will decrease exponentially. ·If 0<s<t<1 then t-spx+s = tpx/spx …