Moderate deviations and large deviations for a test of symmetry based on kernel density estimator

作者：He Xiaoxia^*; Gao Fuqing

来源：Acta Mathematica Scientia, 2008, 28(3): 665-674.

• symmetry test
• kernel estimator
• moderate deviations
• large deviations

Let f(n) be a non-parametric kernel density estimator based on a kernel function K. and a sequence of independent and identically distributed random variables taking values in R. The goal of this article is to prove moderate deviations and large deviations for the statistic sup(x is an element of R) vertical bar f(n)(x) - f(n) (-x)vertical bar.

• 出版日期2008-7
• 单位武汉大学; 武汉科技大学