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- W3164689595 abstract "Penalized spline smoothing of time series and its asymptotic properties are studied. A data-driven algorithm for selecting the smoothing parameter is developed. The proposal is applied to define a semiparametric extension of the well-known Spline-GARCH, called a P-Spline-GARCH, based on the log-data transformation of the squared returns. It is shown that now the errors process is exponentially strong mixing with finite moments of all orders. Asymptotic normality of the P-spline smoother in this context is proved. Practical relevance of the proposal is illustrated by data examples and simulation. The proposal is further applied to value at risk and expected shortfall." @default.
- W3164689595 created "2021-06-07" @default.
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- W3164689595 date "2020-10-19" @default.
- W3164689595 modified "2023-09-26" @default.
- W3164689595 title "A data-driven P-spline smoother and the P-Spline-GARCH-models" @default.
- W3164689595 doi "https://doi.org/10.48550/arxiv.2010.09376" @default.
- W3164689595 hasPublicationYear "2020" @default.
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