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A statistical model to estimate the probability of slip and fall incidents
Institution:1. Physics Department, University of Bucharest, Bucharest-Magurele RO-077125, Romania;2. National Institute of R&D for Physics and Nuclear Engineering-Horia Hulubei (IFIN-HH), Bucharest-Magurele RO-077125, Romania;1. University of Michigan, Shanghai Jiao Tong University Joint Institute, UM-SJTU Joint Institute, 800 Dongchuan Road, Shanghai 200240, China;2. École de Technologie Supérieure, Université du Québec, Montréal, Canada;1. Department of Mathematics, University of the Aegean, Karlovassi, 83200 Samos, Greece;2. Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus;3. School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, Sydney, NSW 2006, Australia;1. Department of Orthopaedics and Sports Medicine, University of South Florida, Tampa, FL, USA;2. USF Health Morsani College of Medicine, University of South Florida, Tampa, FL, USA;3. Foundation for Orthopaedic Research and Education, Tampa, FL, USA
Abstract:A statistical model to estimate the probability of slip and fall incidents is presented. In estimating such an event, the available friction is usually compared with the required friction for the activities. In the models available in the literature, only mean values were compared or a minimum threshold was used to represent the required friction. In the current model, it is assumed that both the available and required friction coefficients have stochastic distributions. Formulations for a general distribution were developed and are presented. The results generated with the current model are compared with those based on other models using a normal distribution. The results indicate that there could be significant differences between the current model and the existing models in estimating the probability of a slip incident.
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