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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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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)/
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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