supported by the National Key R&D Program of China (Grant No. 2017YFA0505500);the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB13040700);National Natural Science Foundation of China (Grant Nos. 31771476, 91529303, 91439103, 11421101 and 91530322)
Detecting direct associations or inferring networks based on the observed data is an important issue in many fields, including biology, physics, engineering and social studies. In this work, we focus on the informatio...
We study smoothed quantile estimator for a class of stationary processes. We obtain the convergency rates and the Bahadur representation, as well as the asymptotic normality for this estimator by the method of m-depen...
supported by National Natural Science Foundation of China(Grant Nos.11171303 and 61273093);the Specialized Research Fund for the Doctor Program of Higher Education(Grant No.20090101110020)
Using the blocking techniques and m-dependent methods,the asymptotic behavior of kernel density estimators for a class of stationary processes,which includes some nonlinear time series models,is investigated.First,the...
Symmetric spaces of Cayley type are a higher dimensional analogue of a onesheeted hyperboloid in R3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a ...
This work was supported by the National Natural Science Foundation of China(Grant No.90209010);NBRP2003CB715900.
This paper discusses the relationship among the total causal effect and local causal effects in a causal chain and identifiability of causal effects. We show a transmission relationship of causal effects in a causal c...
This work was supported by the National Natural Science Foundation of China (Grant Nos. 39930160, 19871003).
Counterfactual model is put forward to discuss the causal inference in the directed acyclic graph and its corresponding identifiability is thus studied with the ancillary information based on conditional independence....