This paper considers a Kullback-Leibler distance (KLD) which is asymptotically equivalent to the KLD by Goutis and Robert [1] when the reference model (in comparison to a competing fitted model) is correctly specified...This paper considers a Kullback-Leibler distance (KLD) which is asymptotically equivalent to the KLD by Goutis and Robert [1] when the reference model (in comparison to a competing fitted model) is correctly specified and that certain regularity conditions hold true (ref. Akaike [2]). We derive the asymptotic property of this Goutis-Robert-Akaike KLD under certain regularity conditions. We also examine the impact of this asymptotic property when the regularity conditions are partially satisfied. Furthermore, the connection between the Goutis-Robert-Akaike KLD and a weighted posterior predictive p-value (WPPP) is established. Finally, both the Goutis-Robert-Akaike KLD and WPPP are applied to compare models using various simulated examples as well as two cohort studies of diabetes.展开更多
股市的情绪化倾向是股票市场具有高度不确定性的主要原因,直接利用历史数据的股票趋势预测方法难以适应市场情绪的多变性,在实际应用中效果不理想。文章针对市场情绪的不稳定性导致股市拐点难以预测的问题,提出一种基于情绪向量的隐半...股市的情绪化倾向是股票市场具有高度不确定性的主要原因,直接利用历史数据的股票趋势预测方法难以适应市场情绪的多变性,在实际应用中效果不理想。文章针对市场情绪的不稳定性导致股市拐点难以预测的问题,提出一种基于情绪向量的隐半马尔可夫模型股市拐点预测方法(hidden semi-Markov model stock turning point prediction method based on sentiment vector,SV-HSMM)。针对市场情绪不可观察性,选取与市场情绪相关的主要特征,使用马尔可夫毯融合成市场情绪;利用隐半马尔可夫模型建模市场环境,构建市场情绪、市场状态和状态持续时间之间的结构关系;引入情绪向量平滑情绪的多变性,并利用Kullback-Leibler(KL)距离量化情绪热度;利用隐半马尔可夫模型的动态推理实现股市拐点预测。结果表明情绪向量方法具有更好的预测效果。展开更多
文摘This paper considers a Kullback-Leibler distance (KLD) which is asymptotically equivalent to the KLD by Goutis and Robert [1] when the reference model (in comparison to a competing fitted model) is correctly specified and that certain regularity conditions hold true (ref. Akaike [2]). We derive the asymptotic property of this Goutis-Robert-Akaike KLD under certain regularity conditions. We also examine the impact of this asymptotic property when the regularity conditions are partially satisfied. Furthermore, the connection between the Goutis-Robert-Akaike KLD and a weighted posterior predictive p-value (WPPP) is established. Finally, both the Goutis-Robert-Akaike KLD and WPPP are applied to compare models using various simulated examples as well as two cohort studies of diabetes.
文摘股市的情绪化倾向是股票市场具有高度不确定性的主要原因,直接利用历史数据的股票趋势预测方法难以适应市场情绪的多变性,在实际应用中效果不理想。文章针对市场情绪的不稳定性导致股市拐点难以预测的问题,提出一种基于情绪向量的隐半马尔可夫模型股市拐点预测方法(hidden semi-Markov model stock turning point prediction method based on sentiment vector,SV-HSMM)。针对市场情绪不可观察性,选取与市场情绪相关的主要特征,使用马尔可夫毯融合成市场情绪;利用隐半马尔可夫模型建模市场环境,构建市场情绪、市场状态和状态持续时间之间的结构关系;引入情绪向量平滑情绪的多变性,并利用Kullback-Leibler(KL)距离量化情绪热度;利用隐半马尔可夫模型的动态推理实现股市拐点预测。结果表明情绪向量方法具有更好的预测效果。