On the hybrids of k-spacing empirical and partial sum processes

被引：0
作者：
Sergio Alvarez-Andrade
Salim Bouzebda
机构：
[1] Sorbonne Universités,Laboratoire de Mathématiques Appliquées de Compiègne, Université de Technologie de Compiégne
来源：
Revista Matemática Complutense | 2017年 / 30卷
关键词：
Hybrid process; Spacing empirical process; Order statistics; Invariance principles; Gaussian process; Precise asymptotics; Complete moment convergence; Baum–Katz; Convergence rates; Primary 62G30; 60F17;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper is devoted to the study of the hybrids of k-spacing empirical and partial sum processes. In the first part, we present the gaussian approximation of these processes. In the second part, we obtain new results on the precise asymptotics in the law of the logarithm related to complete convergence and a.s. convergence, under some mild conditions, for the hybrids of k-spacing empirical and partial sum processes.
引用
收藏
页码：185 / 216
页数：31
相关论文
共 62 条
  • [1] Alvarez-Andrade S(2010)Variance estimation and change point detection for the hybrids of empirical and partial-sum processes Rev. Roum. Math. Pure. Appl. 55 79-91
  • [2] Alvarez-Andrade S(2014)Asymptotic results for hybrids of empirical and partial sums processes Stat. Pap. 55 1121-1143
  • [3] Bouzebda S(2015)On the local time of the weighted bootstrap and compound empirical processes Stoch. Anal. Appl. 33 609-629
  • [4] Alvarez-Andrade S(1983)Some limit theorems for uniform and exponential spacings Can. J. Stat. 11 211-219
  • [5] Bouzebda S(1984)Strong and weak approximations of Z. Wahrsch. Verw. Gebiete 66 461-484
  • [6] Aly E-EAA(2009)-spacings processes Ann. Appl. Probab. 19 158-185
  • [7] Aly E-EAA(1965)Gaussian limits for generalized spacings Trans. Am. Math. Soc. 120 108-123
  • [8] Beirlant J(2012)Convergence rates in the law of large numbers Math. Method Stat. 21 153-188
  • [9] Horváth L(2010)On the strong approximation of bootstrapped empirical copula processes with applications Math. Method Stat. 19 121-135
  • [10] Baryshnikov Y(1986)Approximations for a multivariate hybrid process with applications to change-point detection Ann. Probab. 14 86-118
1234567