50 citations · 72 across the 12 of their papers we have counts for
7 papers · 1 filter
Change-Point Detection for Object-valued Time Series
Yi Zhang, Changbo Zhu, Xiaofeng Shao
This article is concerned with change point detection for object-valued data that reside in a metric space, which has attracted some recent interests in statistics and econometrics…
Geodesic Optimal Transport Regression
Changbo Zhu, Hans-Georg Müller
Classical regression models do not cover non-Euclidean data that reside in a general metric space, while the current literature on non-Euclidean regression by and large has focused…
Two-Sample and Change-Point Inference for Non-Euclidean Valued Time Series
Feiyu Jiang, Changbo Zhu, Xiaofeng Shao
Data objects taking value in a general metric space have become increasingly common in modern data analysis. In this paper, we study two important statistical inference problems, n…
Testing Homogeneity: The Trouble with Sparse Functional Data
Changbo Zhu, Jane-Ling Wang
Testing the homogeneity between two samples of functional data is an important task. While this is feasible for intensely measured functional data, we explain why it is challenging…
Spherical Autoregressive Models, With Application to Distributional and Compositional Time Series
Changbo Zhu, Hans-Georg Müller
We introduce a new class of autoregressive models for spherical time series, where the dimension of the spheres on which the observations of the time series are situated may be fin…
Autoregressive Optimal Transport Models
Changbo Zhu, Hans-Georg Müller
Series of univariate distributions indexed by equally spaced time points are ubiquitous in applications and their analysis constitutes one of the challenges of the emerging field o…
Interpoint Distance Based Two Sample Tests in High Dimension
Changbo Zhu, Xiaofeng Shao
In this paper, we study a class of two sample test statistics based on inter-point distances in the high dimensional and low sample size setting. Our test statistics include the we…