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...

A functional ARMA-GARCH model for predicting the value-at-risk of the EURUSD exchange rate is introduced. The model implements the yield curve differentials between EUR and the US as exogenous factors. Functional principal component analysis allows us to use the information of basically the...

High-frequency data can provide us with a quantity of informa- tion for forecasting, help to calculate and prevent the future risk based on extremes. This tail behaviour is very often driven by ex- ogenous components and may be modelled conditional on other vari- ables. However, many of these...

<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>