Linear GARCH(1,1) and threshold GARCH(1,1) processes are established as regularly varying, meaning their heavy tails are Pareto like, under conditions that allow the innovations from the, respective, processes to be skewed. Skewness is considered a stylized fact for many financial returns...

<Para ID="Par1">Integer-valued time series models have been a recurrent theme considered in many papers in the last three decades, but only a few of them have dealt with models on <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$${\mathbb {Z}}$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi mathvariant="double-struck">Z</mi> </math> </EquationSource> </InlineEquation> (that is, including both negative and positive integers). Our aim in this paper is to introduce a...</equationsource></equationsource></inlineequation></para>

This paper deals with the conditional hazard estimator of a real response where the variable is given a functional random variable (i.e it takes values in an infinite-dimensional space). Specifically, we focus on the functional index model. This approach offers a good com- promise between...