We present a modification of a recently proposed test of symmetry about a known center. The new test uses Wilcoxon scores to weigh the runs and has a limiting normal distribution under the null hypothesis. A Monte Carlo study shows that it is more powerful than both the runs and Wilcoxon signed-rank
On the ‘triples test’ for symmetry
✍ Scribed by Subhash C. Kochar
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 154 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0167-7152
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📜 SIMILAR VOLUMES
The paper presents a permutation procedure for testing reflected (or diagonal) symmetry of the distribution of a multivariate variable. The test statistics are based in empirical characteristic functions. The resulting permutation tests are strictly distribution free under the null hypothesis that t
## Abstract In the last twenty years, a theory of real Jordan triples has been developed. In 1994 T. Dang and B. Russo introduced the concept of J\*B–triple. These J\*B–triples include real C\*–algebras and complex JB\*–triples. However, concerning J\*B–triples, an important problem was left open.
The goal is to prove large deviations limit theorems for statistics, which are based on kernel density estimator and which are designed for symmetry testing. The formulas for the rate functions of the pointwise di erence and the uniform norm of the di erence are expressed in terms of the underlying