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Adaptive pointwise estimation in time-inhomogeneous time-series models

Čížek, Pavel; Härdle, Wolfgang Karl; Spokoiny, Vladimir - 2008

This paper offers a new method for estimation and forecasting of the linear and nonlinear time series when the stationarity assumption is violated. Our general local parametric approach particularly applies to general varying-coefficient parametric models, such as AR or GARCH, whose coefficients...

Persistent link: https://www.econbiz.de/10010274136

Measuring and modeling risk using high-frequency data

Härdle, Wolfgang Karl; Hautsch, Nikolaus; Pigorsch, Uta - 2008

Measuring and modeling financial volatility is the key to derivative pricing, asset allocation and risk management … the daily or lower frequency volatility can be obtained by summing over squared high-frequency returns.In turn, this so …-called realized volatility can be used for more accurate model evaluation and description of the dynamic and distributional structure …

Persistent link: https://www.econbiz.de/10010274148

Nonparametric estimation of risk-neutral densities

Grith, Maria; Härdle, Wolfgang Karl; Schienle, Melanie - 2010

second procedure applies kernel type smoothing in the implied volatility domain. In the conceptually different third approach …

Persistent link: https://www.econbiz.de/10010270813

Generalized single-index models: The EFM approach

Cui, Xia; Härdle, Wolfgang Karl; Zhu, Lixing - 2009

Generalized single-index models are natural extensions of linear models and circumvent the so-called curse of dimensionality. They are becoming increasingly popular in many scientific fields including biostatistics, medicine, economics and financial econometrics. Estimating and testing the model...

Persistent link: https://www.econbiz.de/10010270710

Optimal smoothing for a computationally and statistically efficient single index estimator

Xia, Yingcun; Härdle, Wolfgang Karl; Linton, Oliver - 2009

In semiparametric models it is a common approach to under-smooth the nonparametric functions in order that estimators of the finite dimensional parameters can achieve root-n consistency. The requirement of under-smoothing may result as we show from inefficient estimation methods or technical...

Persistent link: https://www.econbiz.de/10010274155

Time varying hierarchical archimedean copulae

Härdle, Wolfgang Karl; Okhrin, Ostap; Okhrin, Yarema - 2010

There is increasing demand for models of time-varying and non-Gaussian dependencies for mul- tivariate time-series. Available models suffer from the curse of dimensionality or restrictive assumptions on the parameters and the distribution. A promising class of models are the hierarchical...

Persistent link: https://www.econbiz.de/10010270704

De copulis non est disputandum - Copulae: An overview

Härdle, Wolfgang Karl; Okhrin, Ostap - 2009

Normal distribution of the residuals is the traditional assumption in the classical multivariate time series models. Nevertheless it is not very often consistent with the real data. Copulae allows for an extension of the classical time series models to nonelliptically distributed residuals. In...

Persistent link: https://www.econbiz.de/10010274191

Quantile regression in risk calibration

Chao, Shih-Kang; Härdle, Wolfgang Karl; Wang, Weining - 2012

Financial risk control has always been challenging and becomes now an even harder problem as joint extreme events occur more frequently. For decision makers and government regulators, it is therefore important to obtain accurate information on the interdependency of risk factors. Given a...

Persistent link: https://www.econbiz.de/10010281552

A generalized ARFIMA process with Markov-switching fractional differencing parameter

Tsay, Wen-Jen; Härdle, Wolfgang Karl - 2007

We propose a general class of Markov-switching-ARFIMA processes in order to combine strands of long memory and Markov-switching literature. Although the coverage of this class of models is broad, we show that these models can be easily estimated with the DLV algorithm proposed. This algorithm...

Persistent link: https://www.econbiz.de/10010274125

Long memory persistence in the factor of Implied volatility dynamics

Härdle, Wolfgang Karl; Mungo, Julius - 2007

The volatility implied by observed market prices as a function of the strike and time to maturity form an Implied … Volatility Surface (IVS). Practical applications require reducing the dimension and characterize its dynamics through a small … investigating long range dependence in the factor loadings series. Our result reveals that shocks to volatility persist for a very …

Persistent link: https://www.econbiz.de/10010274129