# Testing semiparametric model-equivalence hypotheses based on the characteristic function

arXiv: https://arxiv.org/abs/2111.00280 · HTML: https://mlsanity.com/paper/2111.00280/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 Oct 2021.

## Built on by (most cited first, 1 of 1)

- [Kernel Tests of Equivalence](https://mlsanity.com/paper/2603.10886/) (2026)

## Abstract (arXiv)

We propose three test criteria each of which is appropriate for testing, respectively, the equivalence hypotheses of symmetry, of homogeneity, and of independence, with multivariate data. All quantities have the common feature of involving weighted--type distances between characteristic functions and are convenient from the computational point of view if the weight function is properly chosen. The asymptotic behavior of the tests under the null hypothesis is investigated, and numerical studies are conducted in order to examine the performance of the criteria in finite samples.