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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 15
Right-tail behavior of
b
F
n
.
Non-parametric confidence
bounds for expected remaining
life
Consider the expression for the actuarial value of a continuously
payable premium at constant rate p with discounting, which we de-
rived in (12.4):
p
Z
x
e
ρ(yx)
1 F(y)
1 F(x)
dy.
For small values of x and advanced ages y, say for x = 25 and y ex-
ceeding 80 years, the values of 1 F(y) seem to play a minor role in
this expression, especially when one considers the discounting taking
place within the integral; and the problem of accurate estimation of F
at high ages does not seem very important.
In practice, however, it rarely happens that the premium established ...
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Publisher Resources

ISBN: 9781466505742