On the almost sure central limit theorem for the elephant random walk

被引：14

作者：

Vazquez Guevara, Victor Hugo ^{[1
]}

机构：

[1] Benemerita Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Ave San Claudio & Rio Verde, Puebla 72570, Mexico

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2019年 / 52卷 / 47期

关键词：

almost sure central limit theorem; elephant random walk; almost sure convergence; CONVERGENCE; MOMENTS; MARTINGALES;

D O I：

10.1088/1751-8121/ab4b5f

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we present versions of the almost sure central limit theorem for both the scalar and multi-dimensional elephant random walk based in the almost sure central limit for martingales. In addition, convergence to even moments of Gaussian distribution also will be discussed.

引用

页数：17

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