mlsanityData to 7 Oct 2026

A Stein Goodness-of-fit Test for Directional Distributions

arXiv 2002.06843 ↗First posted 17 Feb 2020stat.MEcited by 13

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Abstract (arXiv)

In many fields, data appears in the form of direction (unit vector) and usual statistical procedures are not applicable to such directional data. In this study, we propose non-parametric goodness-of-fit testing procedures for general directional distributions based on kernel Stein discrepancy. Our method is based on Stein's operator on spheres, which is derived by using Stokes' theorem. Notably, the proposed method is applicable to distributions with an intractable normalization constant, which commonly appear in directional statistics. Experimental results demonstrate that the proposed methods control type-I error well and have larger power than existing tests, including the test based on the maximum mean discrepancy.

Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 17 Feb 2020.

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Citing papers per year: 2021: 4; 2022: 3; 2023: 0; 2024: 2; 2025: 1; 2026: 3.

13 papers.

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  1. 2021Kernel Stein Discrepancy Descentcited by 57
  2. 2022KSD Aggregated Goodness-of-fit Testcited by 21
  3. 2021Composite Goodness-of-fit Tests with Kernelscited by 16
  4. 2022A kernel Stein test of goodness of fit for sequential modelscited by 9
  5. 2024On the Robustness of Kernel Goodness-of-Fit Testscited by 7
  6. 2021Standardisation-function Kernel Stein Discrepancy: A Unifying View on Kernel Stein Discrepancy Tests for Goodness-of-fitcited by 4
  7. 2022AgraSSt: Approximate Graph Stein Statistics for Interpretable Assessment of Implicit Graph Generatorscited by 3
  8. 2026Expanding SPHERE-JEPA: A Family of Statistical Regularizers for the Hyperspherecited by 3
  9. 2021A Stein Goodness of fit Test for Exponential Random Graph Modelscited by 2
  10. 2025The Minimax Lower Bound of Kernel Stein Discrepancy Estimationcited by 2
  11. 2026Kernel Tests of Equivalencecited by 2
  12. 2026Minimax Lower Bounds of Kernel Discrepancy Estimation: MMD, HSIC, KSDcited by 2
1 more
  1. 2024Sequential Kernelized Stein Discrepancycited by 1