A Galton Board Approximation Method for Estimating Pedestrian Walking Preferences within Crowds

TL;DR

This paper introduces a Galton board approximation method using binomial distribution to estimate pedestrian walking preferences in crowds, addressing challenges in statistical estimation of preference probabilities.

Contribution

The paper presents a novel Galton board-based approach for estimating pedestrian preferences, improving analysis of dynamic crowd behaviors.

Findings

Effective estimation of walking preference probabilities

Addresses divergence issues in statistical measures

Provides a new framework for crowd behavior analysis

Abstract

This paper proposes a Galton board approximation method to analyze the potential walking preferences of pedestrians. We employ the binomial distribution to estimate the walking preferences of pedestrians in dynamic crowds. Estimating the probability of the right-side preference ($p$) based on observed data poses the challenge, as statistical measures such as means and variances often lead to divergent results. This study aims to explore this issue.