From the 1 of 6 linked papers with an AI index.
6 papers
Uniform Convergence of Generalized Conditional Fréchet Means with Applications to Weighted Fréchet Aggregation and Exceedance Set Estimation
Houren Hong, Jiazhen Xu, Andrew T. A. Wood
The paper develops a new theoretical framework to prove uniform convergence of generalized conditional Fréchet mean estimators in metric spaces, and applies it to weighted Fréchet…
Quantifying Periodicity in Non-Euclidean Random Objects
Jiazhen Xu, Andrew T. A. Wood, Tao Zou
Time-varying non-Euclidean random objects are playing a growing role in modern data analysis, and periodicity is a fundamental characteristic of time-varying data. However, quantif…
Change Point Detection for Random Objects with Periodic Behavior
Jiazhen Xu, Andrew T. A. Wood, Tao Zou
Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random ob…
Regularization and Selection in A Directed Network Model with Nodal Homophily and Nodal Effects
Zhaoyu Xing, Y. X. Rachel Wang, Andrew T. A. Wood +1
This article introduces a regularization and selection methods for directed networks with nodal homophily and nodal effects. The proposed approach not only preserves the statistica…
Robust Functional Principal Component Analysis for Non-Euclidean Random Objects
Jiazhen Xu, Andrew T. A. Wood, Tao Zou
Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random ob…
Empirical likelihood for Fréchet means on open books
Karthik Bharath, Huiling Le, Andrew T A Wood +1
Empirical Likelihood (EL) is a type of nonparametric likelihood that is useful in many statistical inference problems, including confidence region construction and -sample probl…