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

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arxiv 1602.05885 v3 pith:OCP5RV3E submitted 2016-02-18 stat.AP stat.ME

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

classification stat.AP stat.ME
keywords testdistributionsexistinggoodness-of-fitlocationnon-gaussianparametersscale
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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.

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