The shot-noise jump-diffusion (SNJD) model aims to reflect how economic variables respond to the arrival of sudden information. This paper analyzes the SNJD model, providing its statistical distribution and closed-form expressions for the characteristic function and moments. We also analyze the...

In a multivariate nonparametric setup the survival function is not identifiable from the hazard function. Things may change, however, if we restrict ourselves to semiparametric submodels. In this note we show that for the Clayton survival model, the answer is affirmative.

In this article we propose and study a model for stock prices which allows for shot-noise effects. This means that abrupt changes caused by jumps may fade away as time goes by. This model is incomplete. We derive the minimal martingale measure in discrete and continuous time and discuss the...

In the Koziol--Green proportional hazards model one assumes that the lifetime distribution F and the censoring distribution G satisfy 1 -- G = (1 -- F)[beta]. Let Fn denote the nonparametric MLE of F. We show that for any integrable function \gf, [integral operator]\gf dFn -- [integral...

Suppose that we observe bivariate data (Xi, Yi) only when Yi [less-than-or-equals, slant] Xi (left truncation). Denote with F the marginal d.f. of the X's. In this paper we derive a Bahadur-type representation for the quantile function of the pertaining product-limit estimator of F. As an...

We show that the Kaplan-Meier estimator of a survival function is consistent under weighted sup-norms for a large class of weight functions. The method of proof incorporates a new SLLN and a CLT for Kaplan-Meier integrals.