Constructing Prediction Intervals Using the Likelihood Ratio Statistic

An Optimal Property of the Likelihood Ratio Statistic

Mixture Likelihood Ratio Scan Statistic for Disease Outbreak Detection

Early detection of disease outbreaks is of paramount importance to implementing intervention strategies to mitigate the severity and duration of the outbreak. We build methodology that utilizes the characteristic profile of disease outbreaks to reduce the time to detection and false positive rate. We model daily counts through a Poisson distribution with additive background plus outbreak compon...

Model-based likelihood ratio confidence intervals for survival functions

We introduce an adjusted likelihood ratio procedure for computing pointwise confidence intervals for survival functions from censored data. The test statistic, scaled by a ratio of two variance quantities, is shown to converge to a chi-squared distribution with one degree of freedom. The confidence intervals are seen to be a neighborhood of a semiparametric survival function estimator and are s...

Smoothed weighted empirical likelihood ratio confidence intervals for quantiles

Thus far, likelihood-based interval estimates for quantiles have not been studied in the literature on interval censored case 2 data and partly interval censored data, and, in this context, the use of smoothing has not been considered for any type of censored data. This article constructs smoothed weighted empirical likelihood ratio confidence intervals (WELRCI) for quantiles in a unified frame...

Likelihood Ratio Based Con dence Intervals in Survival Analysis

Con dence intervals for the survival function and the cumulative hazard function are considered. These con dence intervals are based on an inversion of the likelihood ratio statistic. To do this two extensions of the likelihood, each of which yields meaningful likelihood ratio hypothesis tests and subsequent con dence intervals, are considered. The choice of the best extension is di cult. In th...