RISK MINIMIZATION FOR TIME SERIES BINARY CHOICE WITH VARIABLE SELECTION
带变量选择的时间序列二元选择风险最小化AI 解读 ↓
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AI 根据所提供的论文材料归类:摘要直接研究二元选择预测、变量选择及具有强混合依赖的时间序列数据。
带变量选择的时间序列二元选择风险最小化AI 解读 ↓
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This paper considers the problem of predicting binary choices by selecting from a possibly large set of candidate explanatory variables, which can include both exogenous variables and lagged dependent variables. We consider risk minimization with the risk function being the predictive classification error. We study the convergence rates of empirical risk minimization in both the frequentist and Bayesian approaches. The Bayesian treatment uses a Gibbs posterior constructed directly from the empirical risk instead of using the usual likelihood-based posterior. Therefore these approaches do not require a correctly specified probability model. We show that the proposed methods have near optimal performance relative to a class of linear classification rules with selected variables. Such results in classification are obtained in a framework of dependent data with strong mixing.