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Statistical Methods with Applications to Demography and Life Insurance
book

Statistical Methods with Applications to Demography and Life Insurance

by Estate V. Khmaladze
March 2013
Intermediate to advanced content levelIntermediate to advanced
242 pages
5h 47m
English
Chapman and Hall/CRC
Content preview from Statistical Methods with Applications to Demography and Life Insurance
Lecture 3
The empirical distribution
function of duration of life
In demography, statistical problems begin where they always begin:
we do not know the true distribution function F of the duration of life;
but we have data, based on which we have to make inference about this
unknown F, test different hypotheses which we can formulate about F,
or estimate F and/or some of its parameters.
Suppose we have n independent, identically distributed durations
of life T
1
,T
2
,... ,T
n
, that is, n independent random variables, each with
the same distribution function F. Let us consider a function of a ran-
dom variable T and of a point x, defined as
I
{T <x}
=
(
1, if T
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Publisher Resources

ISBN: 9781466505742