In the Fay–Herriot model,we consider estimators of the linking variance obtained using different types of resampling schemes.The usefulness of this approach is that even when the estimator from the original data fall...In the Fay–Herriot model,we consider estimators of the linking variance obtained using different types of resampling schemes.The usefulness of this approach is that even when the estimator from the original data falls below zero or any other specified threshold,several of the resamples can potentially yield values above the threshold.We establish asymptotic consistency of the resampling-based estimator of the linking variance for a wide variety of resampling schemes and show the efficacy of using the proposed approach in numeric examples.展开更多
This is an expository article on the recent progress on the arithmetic fundamental lemma conjecture,based largely on Zhang(2019). Beside stating the local conjecture, we will present three global intersection problems...This is an expository article on the recent progress on the arithmetic fundamental lemma conjecture,based largely on Zhang(2019). Beside stating the local conjecture, we will present three global intersection problems along with some constructions of algebraic cycles.展开更多
基金This research is partially supported by the National Science Foundation(NSF)[grant numbers#DMS-1622483 and#DMS-1737918].
文摘In the Fay–Herriot model,we consider estimators of the linking variance obtained using different types of resampling schemes.The usefulness of this approach is that even when the estimator from the original data falls below zero or any other specified threshold,several of the resamples can potentially yield values above the threshold.We establish asymptotic consistency of the resampling-based estimator of the linking variance for a wide variety of resampling schemes and show the efficacy of using the proposed approach in numeric examples.
基金supported by the National Science Foundation of USA (Grant No. DMS #1901642)
文摘This is an expository article on the recent progress on the arithmetic fundamental lemma conjecture,based largely on Zhang(2019). Beside stating the local conjecture, we will present three global intersection problems along with some constructions of algebraic cycles.
