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Estimation and testing for varying coefficients in additive models with marginal integration

Yang, Lijian; Härdle, Wolfgang; Park, Byeong U. - 2002

We propose marginal integration estimation and testing methods for the coefficients of varying coefficient multivariate … regression model. Asymptotic distribution theory is developed for the estimation method which enjoys the same rate of convergence … as univariate function estimation. For the test statistic, asymptotic normal theory is established. These theoretical …

Persistent link: https://www.econbiz.de/10009627286

Testing for linear autoregressive dynamics under heteroskedasticity

Hafner, Christian M.; Herwartz, Helmut - 1998

One puzzling behavior of asset returns for various frequencies is the often observed positive autocorrelation at lag 1. To some extent this can be explained by standard asset pricing models when assuming time varying risk premia. However, one often finds better results when directly fitting an...

Persistent link: https://www.econbiz.de/10009579187

Testing for vector autoregressive dynamics under heteroskedasticity

Hafner, Christian M.; Herwartz, Helmut - 2002

In this paper we introduce a bootstrap procedure to test parameter restrictions in vector autoregressive models which is robust in cases of conditionally heteroskedastic error terms. The adopted wild bootstrap method does not require any parametric specification of the volatility process and...

Persistent link: https://www.econbiz.de/10009663846

Semiparametric bootstrap approach to hypothesis tests and confidence intervals for the hurst coefficient

Hall, Peter; Härdle, Wolfgang; Kleinow, Torsten; … - 1999

the price of a commodity, currency or similar quantity. Interval estimation and hypothesis testing for H are central to …

Persistent link: https://www.econbiz.de/10009581110

Backtesting beyond VaR

Härdle, Wolfgang; Stahl, Gerhard - 1999

VaR models are related to statistical forecast systems. Within that framework different forecast tasks including Value-at-Risk and shortfall are discussed and motivated. A backtesting method based on the shortfall is developed and applied to VaR forecasts of areal portfolio. The analysis shows...

Persistent link: https://www.econbiz.de/10009582401

An empirical likelihood goodness-of-fit test for time series

Chen, Song Xi; Härdle, Wolfgang; Kleinow, Torsten - 2000

-in estimation. We apply the empirical likelihood based test to a discretised diffusion model which has been recently considered in …

Persistent link: https://www.econbiz.de/10009612573

Flexible stochastic volatility structures for high frequency financial data

Feldmann, David; Härdle, Wolfgang; Hafner, Christian M.; … - 1998

Stochastic Volatility (SV) models are widely used in financial applications. To decide whether standard parametric restrictions are justified for a given dataset, a statistical test is required. In this paper, we develop such a test based on the linear state space representation. We provide a...

Persistent link: https://www.econbiz.de/10009578026

Option pricing under linear autoregressive dynamics, heteroskedasticity, and conditional leptokurtosis

Hafner, Christian M.; Herwartz, Helmut - 1999

Daily returns of financial assets are frequently found to exhibit positive autocorrelation at lag 1. When specifying a linear AR(l) conditional mean, one may ask how this predictability affects option prices. We investigate the dependence of option prices on autoregressive dynamics under...

Persistent link: https://www.econbiz.de/10009580460

Adaptive estimation for a time inhomogeneous stochastic-volatility model

Härdle, Wolfgang; Spokojnyj, Vladimir G.; Teyssière, … - 2000

problem of online estimation of current values of w = w(T) and a = a(T) from the observations SI , ... ,ST. We propose an … adaptive method of estimation which does not use any information about time homogeneity of the obscured process. We apply this …

Persistent link: https://www.econbiz.de/10009582392

Semiparametric diffusion estimation and application to a stock market index

Härdle, Wolfgang; Kleinow, Torsten; Korostelev, … - 2001

The analysis of diffusion processes in financial models is crucially dependent on the form of the drift and diffusion coefficient functions. A methodology is proposed for estimating and testing coefficient functions for ergodic diffusions that are not directly observable. It is based on...

Persistent link: https://www.econbiz.de/10009613611