Asymptotic convergence in distribution of the area bounded by prevalence-weighted Kaplan-Meier curves using empirical process modelling.

The Kaplan-Meier product-limit estimator is a simple and powerful tool in time to event analysis. An extension exists for populations stratified into cohorts where a population survival curve is generated by weighted averaging of cohort-level survival curves. For making population-level comparisons using this statistic, we analyse the statistics of the area between two such weighted survival curves.

First in line: prioritizing receipt of Social Security disability benefits based on likelihood of death during adjudication.

Background: Given the complexity of the adjudication process and volume of applications to Social Security Administration's (SSA) disability programs, many individuals with serious medical conditions die while awaiting an application decision. Limitations of traditional survival methods called for a new empirical approach to identify conditions resulting in rapid mortality.

Objective: To identify health conditions associated with significantly higher mortality than a key reference group among applicants for SSA disability programs.

GENERALIZED SELF INTERSECTION LOCAL TIME FOR A SUPERPROCESS OVER A STOCHASTIC FLOW.

This paper examines the existence of the self-intersection local time for a superprocess over a stochastic flow in dimensions ≤ 3, which through constructive methods, results in a Tanaka like representation. The superprocess over a stochastic flow is a superprocess with dependent spatial motion, and thus Dynkin's proof of existence, which requires multiplicity of the log-Laplace functional, no longer applies. Skoulakis and Adler's method of calculating moments is extended to higher moments, from which existence follows.