| km.outcomes {conf} | R Documentation |
Outcomes for the Kaplan-Meier product-limit estimator
Description
Generates a matrix containing all possible outcomes (all possible sequences of failure times and right-censoring times) of the value
of the Kaplan-Meier product-limit estimator for a particular sample
size n.
Usage
km.outcomes(n)
Arguments
n |
sample size |
Details
The Kaplan-Meier product-limit estimator is used to
estimate the survivor function for a data set of
positive values in the presence of right censoring.
The km.outcomes function generates a matrix with
all possible combinations of observed failures and
right censored values and the resulting support values
for the Kaplan-Meier product-limit estimator for a sample of
size n.
The n argument must be a positive integer denoting
the sample size. Allowable limits are from 1 to 24.
Larger values of n are not allowed because of CPU
and memory limitations.
In order to keep the support values as exact fractions,
the numerators and denominators are stored separately in
the a matrix in the columns named num and
den. The support values are stored as numeric
values in the column named S(t).
Value
The km.outcomes function returns a matrix with
2n+1-1 rows and n + 4 columns. The location l indicates the position where the time of interest falls within the observed events.
The meaning of the columns is as follows.
-
l: number of observed events (failures times or censoring times) between times 0 and the observation time; -
d1, d2, ..., dn: equals 0 if the event corresponds to a censored observation, equals 1 if the event corresponds to a failure; -
S(t): numeric value of the associated support value; -
num: numerator of the support value as a fraction; -
den: denominator of the support value as a fraction.
Author(s)
Yuxin Qin (yqin08@wm.edu), Heather Sasinowska (hdsasinowska@wm.edu), Larry Leemis (leemis@math.wm.edu)
References
Qin, Y., Sasinowska, H., Leemis, L. (2023), "The Probability Mass
Function of the Kaplan-Meier Product-Limit Estimator",
The American Statistician, Volume 77, Number 1, 102-110.
See Also
Examples
km.outcomes(3)