Semiparametric modeling of multiple quantiles
多个分位数的半参数建模AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要明确以时间序列动态分位数建模为对象,并提出密度和分位数预测用途。
多个分位数的半参数建模AI 解读 ↓
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We develop a semiparametric model to track a large number of quantiles of a time series. The model satisfies the condition of non-crossing quantiles and the defining property of fixed quantiles. A key feature of the specification is that the updating scheme for time-varying quantiles at each probability level is based on the gradient of the check loss function. Theoretical properties of the proposed model are derived such as weak stationarity of the quantile process and consistency of the estimators of the fixed parameters. The model can be applied for filtering and prediction. We also illustrate a number of possible applications such as: (i) semiparametric estimation of dynamic moments of the observables, (ii) density prediction, and (iii) quantile predictions.
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