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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Weak values as statistical estimation
统计估计 弱值 量子可观测值 最小方差
2023/11/15
Given a quantum observable and a state, one can construct a classical observable, such that it is the optimal estimate of the quantum observable, in the sense of minimum variance. We demonstrate how t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Estimation of Common Factors for Microstructure Noise and Effcient Price in a High-frequency Dual Factor Model
高频双因子模型 微结构 噪声公因数 效率价格 估计
2023/4/17
We develop the Double Principal Component Analysis (DPCA) based on a dual factor structure for high-frequency intraday returns contaminated by microstructure noise. The dual factor structure allows a ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed Order Estimation of ARX Model Under Cooperative Excitation Condition
协同 激励条件 ARX模型 分布式阶估计
2023/5/6
This talk considers the distributed estimation problem of a linear stochastic system described by an autoregressive model with exogenous inputs when both the system orders and parameters are unknown. ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dynamic copula-based nonparametric estimation of rank-tracking probabilities with longitudinal data
动态copula 纵向数据秩 跟踪概率 非参数估计
2023/5/10
The rank-tracking probability (RTP) is a useful statistical index for measuring the ``tracking ability'' of longitudinal disease risk factors in biomedical studies. A flexible nonparametric method for...