Smoothed Conditional Scale Function Estimation in AR(1)-ARCH(1) Processes

Lema Logamou Seknewna, Peter Mwita Nyamuhanga and Benjamin Kyalo Muema

Journal of Probability and Statistics, 2018, vol. 2018, 1-13

Abstract:

The estimation of the Smoothed Conditional Scale Function for time series was taken out under the conditional heteroscedastic innovations by imitating the kernel smoothing in nonparametric QAR-QARCH scheme. The estimation was taken out based on the quantile regression methodology proposed by Koenker and Bassett. And the proof of the asymptotic properties of the Conditional Scale Function estimator for this type of process was given and its consistency was shown.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:4816716

DOI: 10.1155/2018/4816716

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