type="main" xml:id="sjos12042-abs-0001" <title type="main">ABSTRACT</title> <p>We derive two types of Akaike information criterion (AIC)-like model-selection formulae for the semiparametric pseudo-maximum likelihood procedure. We first adapt the arguments leading to the original AIC formula, related to empirical estimation...</p>

Proportional hazards is commonly assumed in survival analysis. This assumption appears to be mainly a mathematical convenience, made in order to interpret Cox models in a simple manner. There remains the questions of whether this assumption is actually true to reality in a sufficient number of...

We show that the cumulative distribution function corresponding to a kernel density estimator with optimal bandwidth lies outside any confidence interval, around the empirical distribution function, with probability tending to 1 as the sample size increases.

We derive the proper form of the Akaike information criterion for variable selection for mixture cure models, which are often fit via the expectation–maximization algorithm. Separate covariate sets may be used in the mixture components. The selection criteria are applicable to survival models...

This article defines and studies a depth for multivariate functional data. By the multivariate nature and by including a weight function, it acknowledges important characteristics of functional data, namely differences in the amount of local amplitude, shape, and phase variation. We study both...