A general and relatively simple method for construction of multivariate goodness-of-fit tests is introduced. The proposed test is applied to elliptical distributions. The method is based on a characterization of probability distributions via their characteristic function. The consistency and other limit properties of the new test statistics are studied. Also in a simulation study the proposed tests are compared with earlier as well as more recent competitors.
A general Monte Carlo method for multivariate goodness-of-fit testing applied to elliptical families
Feifei Chen,M. Jiménez-Gamero,S. Meintanis,Lixing Zhu
Published 2022 in Computational Statistics & Data Analysis
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- Publication year
2022
- Venue
Computational Statistics & Data Analysis
- Publication date
2022-06-01
- Fields of study
Mathematics, Computer Science
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