turnbull_intervals: Turnbull's sets

In longevity: Statistical Methods for the Analysis of Excess Lifetimes

Turnbull's sets

Description

Given censoring and truncation set, compute the regions of the real line that get positive mass and over which the distribution function is well-defined.

Usage

turnbull_intervals(time, time2 = NULL, status, ltrunc = NULL, rtrunc = NULL)

Arguments

time	excess time of the event of follow-up time, depending on the value of event
time2	ending excess time of the interval for interval censored data only.
ltrunc	lower truncation limit, default to NULL
rtrunc	upper truncation limit, default to NULL

Value

a matrix with two columns containing the left and right bounds Of Turnbull sets

Note

The function adds the square root of the machine tolerance to left bounds of interval censored data so they are open.

References

Frydman, H. (1994). A Note on Nonparametric Estimation of the Distribution Function from Interval-Censored and Truncated Observations, Journal of the Royal Statistical Society. Series B (Methodological) 56(1), 71-74.

Turnbull, B. W. (1976). The Empirical Distribution Function with Arbitrarily Grouped, Censored and Truncated Data. Journal of the Royal Statistical Society, Series B 38, 290-295.

longevity documentation built on Nov. 12, 2023, 5:07 p.m.