1. Let S(t) be the Kaplan-Meier estimator of the survival function and o3(t) = E sit,
1. Let S(t) be the Kaplan-Meier estimator of the survival function and o3(t) = E sit,
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![1. Let S(t) be the Kaplan-Meier estimator of the survival function and
o(t) =
sit, <e n(n, - d,)
d,
%3D
(a) Show that the approximate variance of aresin
is
Š(to)
(b) Hence, the 100(1-a)% confidence interval for S(to), based on this transformation,
is given as
1/27
$(to)
max 0, arcsin ($(to)2) – 0.521-0/20s(to)
1-$(to)
sin? {
< S(to) <
sin min
arcsin ($(to)2) +0.521-0/20s(to).
1- $(to)/](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fae72c5-9f86-4df6-acb6-39a6b152e9f7%2F0c298789-1028-4c55-97f4-baeceac6f62b%2F5o0o8k1n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Let S(t) be the Kaplan-Meier estimator of the survival function and
o(t) =
sit, <e n(n, - d,)
d,
%3D
(a) Show that the approximate variance of aresin
is
Š(to)
(b) Hence, the 100(1-a)% confidence interval for S(to), based on this transformation,
is given as
1/27
$(to)
max 0, arcsin ($(to)2) – 0.521-0/20s(to)
1-$(to)
sin? {
< S(to) <
sin min
arcsin ($(to)2) +0.521-0/20s(to).
1- $(to)/
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