Deng, Xin; Wang, Shijie; Wang, Rui; Xie, Xiujuan; Wang, Xuejun Almost sure convergence for END sequences and its application to \(M\) estimator in linear models. (English) Zbl 1483.62061 J. Math. Inequal. 11, No. 4, 965-982 (2017). Summary: In the paper, an almost sure convergence result for weighted sums of extended negatively dependent random variables is obtained. By using the almost sure convergence result, we further study the strong consistency of \(M\) estimator of the regression parameter in linear models based on extended negatively dependent random errors under some mild conditions. Cited in 1 Document MSC: 62F12 Asymptotic properties of parametric estimators 60F15 Strong limit theorems Keywords:almost sure convergence; strong consistency; \(M\) estimator; extended negatively dependent random error PDFBibTeX XMLCite \textit{X. Deng} et al., J. Math. Inequal. 11, No. 4, 965--982 (2017; Zbl 1483.62061) Full Text: DOI