5 papers · 1 filter
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 statistical analysis of object oriented data in non-Euclidean spaces heavily relies on generalized conditional Fréchet means, notably in the context of Fréchet regression. Howe…
Quantifying Periodicity in Non-Euclidean Object-Valued Time Series
Jiazhen Xu, Andrew T. A. Wood, Tao Zou
Non-Euclidean object-valued time series are playing a growing role in modern data analysis, and periodicity is a fundamental characteristic of many time series. However, quantifyin…
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…
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…
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…