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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
60 Statistical consequences of what we learned so far
= P
max
b
F
n
(x)
λ
n
,0
F(x)min
b
F
n
(x)+
λ
n
,1
for all x
.
The last equality is true because 0 F(x) 1. Therefore the random
corridor or “strip” with the boundaries for each x
max
b
F
n
(x)
λ
n
,0
,min
b
F
n
(x) +
λ
n
,1

(6.1)
covers the distribution function Fwith probability K
n
(λ). This is the
desired confidence strip for F. If one chooses λ so that K
n
(λ) = 1 α
with the given α or K(λ) = 1 α, then F will be covered by this
confidence strip with probability 1 α, or probability asymptotically
equal to 1 α.
0.0 0.5 1.0 1.5 2.0 2.5
0.0
0.2
0.4
0.6
0.8
1.0
x
Figure 6.3 Distribution function F (smooth line) and
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Publisher Resources

ISBN: 9781466505742