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A Goodness of Fit Test for Non-Gaussian Distributions with Unknown Location and Scale Parameters

Applications 2023-08-02 v3 Methodology

Abstract

This paper studies computational aspects of an asymptotically distribution-free goodness-of-fit test for non-Gaussian distributions based on the Khmaladze martingale transformation when the location and scale parameters of the distribution are unknown. On top of that, we propose another goodness-of-fit test better than existing one in terms of a statistical power. Simulation studies demonstrate that the proposed test compares favorably with the existing test.

Keywords

Cite

@article{arxiv.1602.05885,
  title  = {A Goodness of Fit Test for Non-Gaussian Distributions with Unknown Location and Scale Parameters},
  author = {Jiwoong Kim},
  journal= {arXiv preprint arXiv:1602.05885},
  year   = {2023}
}