|
Activity Number:
|
244
|
|
Type:
|
Contributed
|
|
Date/Time:
|
Tuesday, August 8, 2006 : 8:30 AM to 10:20 AM
|
|
Sponsor:
|
Section on Risk Analysis
|
| Abstract - #306553 |
|
Title:
|
Generalized Residual Sojourns under Truncation and Censoring
|
|
Author(s):
|
John Hsieh*+
|
|
Companies:
|
University of Nevada, Reno
|
|
Address:
|
School of Public Health, Reno, NV, 89557,
|
|
Keywords:
|
lifetime ; failure time ; censoring/truncation ; generalized survival function ; generalized distribution function ; survival analysis
|
|
Abstract:
|
This article introduces the generalized survival and distribution functions and use them to construct generalized residual lifetime and failure time transformations under censoring and truncation. Both cohort and stationary population interpretations of the expectations of these residual sojourns are described in terms of the steady-state distribution of a population renewal process. Probability distributions of these transformed random variables and their moments are derived in terms of the original life distribution of the underlying lifelength random variable. Lorenz curve and scaled total time on test transform are generalized to allow for censoring as well as truncation and to cover lifetimes as well as failure times. The probabilistic results obtained in this article provide the basis for further study on statistical inference of censored/truncated lifetimes and failure times.
|
