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January Some characterizations of Pearson's Two-Unequal Step Random Walk
Mohammad AHSANULLAH
Afr. Stat. 15(1): 2263-2273 (January). DOI: 10.16929/as/2020.2263.157

Abstract

More than a century ago, Pearson (1905) proposed the following: A man starts from a point $0$ and walks $\ell$ yards in a straight line, then he turns any angle whatever and walks $\ell$ yards in a straight line. He repeats this process $n$ times. I require the probability that after $n$ steps he is at a distance $r$ and $r + dr$ from the starting point $0$. In this paper some characterizations of the the random walk of unequal step size are given.

Il y’a plus de cent ans, Pearson (1905) a ecrit : Une personne fait un trajet de $\ell$ yards sur une ligne droite commenc¸ant par le point zéro. Ensuite il tourne d’un certain angle et fait aussi un trajet de $\ell$ yards. Il répète cela $n$ fois. Je cherche la probabilité que la position de lq personne soit à un distance de zéro entre $r$ et $r + dr$. Dans ce papier, nous donnons quelques caracterisations de la marche aléatoire avec des pas de déplacement inégaux.

Citation

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Mohammad AHSANULLAH. "Some characterizations of Pearson's Two-Unequal Step Random Walk." Afr. Stat. 15 (1) 2263 - 2273, January. https://doi.org/10.16929/as/2020.2263.157

Information

Published: January
First available in Project Euclid: 16 May 2020

zbMATH: 07235735
MathSciNet: MR4099227
Digital Object Identifier: 10.16929/as/2020.2263.157

Subjects:
Primary: 60E05

Rights: Copyright © 2020 The Statistics and Probability African Society

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Vol.15 • No. 1 • January
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