Empirical Likelihood for Right Censored Lifetime Data

Details Empirical Likelihood for Right Censored Lifetime Data Empirical Likelihood for Right Censored Lifetime Data

2012-03-27

arxiv.org/abs/1203.5955v1

Mathematics

Statistics Theory

Scientific paper

This paper considers the empirical likelihood (EL) construction of confidence intervals for a linear functional based on right censored lifetime data. Many of the results in literature show that log EL has a limiting scaled chi-square distribution, where the scale parameter is a function of the unknown asymptotic variance. The scale parameter has to be estimated for the construction. Additional estimation would reduce the coverage accuracy for the parameter. This diminishes a main advantage of the EL method for censored data. By utilizing certain influence functions in an estimating equation, it is shown that under very general conditions, log EL converges weakly to a standard chi-square distribution and thereby eliminates the need for estimating the scale parameter. Moreover, a special way of employing influence functions eases the otherwise very demanding computations of the EL method. Our approach yields smaller asymptotic variance of the influence function than those comparable ones considered by Wang and Jing (2001) and Qin and Zhao (2007). Thus it is not surprising that confidence intervals using influence functions give a better coverage accuracy as demonstrated by simulations.

Affiliated with

Also associated with

No associations

Rating

Empirical Likelihood for Right Censored Lifetime Data does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Empirical Likelihood for Right Censored Lifetime Data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Empirical Likelihood for Right Censored Lifetime Data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-640983