Several relativistic extensions of the Maxwell–Boltzmann distribution have been proposed, but they do not explain observed lognormal tail-behavior in the flux distribution of various astrophysical sources. Motivated by this question, extensions of classical central limit theorems are developed...

A weighted least squares estimator is used to estimate the hazard functions in Aalen's additive risk model from grouped (and possibly censored) survival data. Counting process techniques are applied to derive a functional central limit theorem for the integrated estimator.

We study a flexible class of nonproportional hazard function regression models in which the influence of the covariates splits into the sum of a parametric part and a time-dependent nonparametric part. We develop a method of covariate selection for the parametric part by adjusting for the...