Skip to Main Content
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
185
= P
{
ξ
n
(t) < λ nh(t) forall t [0,c]
}
using its approximation
P
{
ξ (t) < λ nh(t) forall t [0,c]
}
,
and find λ such that the latter probability equals the desired confidence
probability 1α; or we can calculate the conditional probability, using
the equality
P
n
1
b
F
n
(x) < λ h(1 F(x)) for all x > x
0n
1
b
F
n
(x
0n
) = L/n
o
= P
ξ (t) < λ nh(t) forall t [0,c]
ξ (c) = L
(15.5)
and again find λ
L
, such that this probability equals the confidence level
1 α. Often λ
L
< λ and therefore the confidence bound
1
λ
L
h
1
(1
b
F
n
(x))
is higher and, hence, better. However, one has to have observations in
order to know L, while calculation of λ does not require anything. Note ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Methods and Applications of Statistics in Clinical Trials, Volume 2: Planning, Analysis, and Inferential Methods

Methods and Applications of Statistics in Clinical Trials, Volume 2: Planning, Analysis, and Inferential Methods

N. Balakrishnan
Financial and Actuarial Statistics, 2nd Edition

Financial and Actuarial Statistics, 2nd Edition

Dale S. Borowiak, Arnold F. Shapiro

Publisher Resources

ISBN: 9781466505742