Xue, Liugen; Gu, Zhenli; Zheng, Zhongguo Random weighting method for density kernel estimates. (Chinese. English summary) Zbl 0969.62026 J. Syst. Sci. Math. Sci. 20, No. 1, 87-96 (2000). Summary: The random weighting statistics is designed for the kernel estimator of density functions. Under suitable conditions, it is proved that the random weighting approximation can attain the accuracy of \[ o\left(n^{-{\lambda \over 2(\lambda+1)}} (\log n)^{{2\lambda+ 1\over 4(\lambda+1)}} C_n \right), \] where \(\lambda>0\), \(0<C_n\to\infty\). Lastly we study the large sample properties of random weighting estimators. MSC: 62G07 Density estimation 62G20 Asymptotic properties of nonparametric inference Keywords:density kernel estimator; random weighting estimators PDFBibTeX XMLCite \textit{L. Xue} et al., J. Syst. Sci. Math. Sci. 20, No. 1, 87--96 (2000; Zbl 0969.62026)