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

被引：12
|
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.
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收藏
页数：17
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