The empirical process in Mallows distance, with application to goodness-of-fit tests
Richard Samworth, Oliver Johnson
TL;DR
This paper explores the empirical process in Mallows distance and applies it to develop goodness-of-fit tests, providing new insights into statistical convergence and test performance.
Contribution
It introduces a novel empirical process framework in Mallows distance and applies it to improve goodness-of-fit testing methods.
Findings
New theoretical results on empirical processes in Mallows distance
Enhanced goodness-of-fit test procedures
Comparison with existing statistical methods
Abstract
This paper has been temporarily withdrawn, pending a revised version taking into account similarities between this paper and the recent work of del Barrio, Gine and Utzet (Bernoulli, 11 (1), 2005, 131-189).
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Taxonomy
TopicsStatistical Methods in Clinical Trials · Bayesian Modeling and Causal Inference · Statistical Methods and Inference