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
Multisample tests for scale based on kernel density estimation
โ Scribed by Takamasa Mizushima
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 120 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0167-7152
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โฆ Synopsis
We propose test statistics based on kernel density estimation for testing the equality of scale parameters. The statistics are compared with other statistics with respect to the asymptotic relative e ciency. The statistics are more e cient than the c-sample analogs of the two-sample Mood test and the two-sample Ansari-Bradley test for the normal distribution and the Cauchy distribution. We also give a comparison of Type I error and power by simulation.
๐ SIMILAR VOLUMES
A conditional density function, which describes the relationship between response and explanatory variables, plays an important role in many analysis problems. In this paper, we propose a new kernelbased parametric method to estimate conditional density. An exponential function is employed to approx