Name
Title | ||
|---|---|---|
Uniformly strong consistency and Berry-Esseen bound of frequency polygons for α-mixing samples. |
Abstract | ||
|---|---|---|
ABSTRACTIn this article, the frequency polygon investigated by Scott is studied as a nonparametric estimator for α-mixing samples. By some known exponent and moment inequalities, we obtain the uniformly strong consistency and Berry-Esseen bound of the estimator. The present results relax the relevant conditions used by Carbon et al. Furthermore, the convergence rate of the uniformly asymptotic normality is derived, which is O(n− 1/11) under the given conditions. |
Year | DOI | Venue |
|---|---|---|
2019 | full/10.1080/03610918.2017.1381741 | Communications in Statistics - Simulation and Computation |
Field | DocType | Volume |
Combinatorics,Polygon,Exponent,Nonparametric estimator,Rate of convergence,Statistics,Strong consistency,Mathematics,Estimator,Asymptotic distribution | Journal | 48 |
Issue | Citations | PageRank |
2 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Guo-Dong Xing | 1 | 0 | 0.34 |
| Shanchao Yang | 2 | 11 | 3.88 |
| Xiaohu Li | 3 | 109 | 20.48 |