Title: Applying refined descriptive sampling on the vibrating string model

Authors: Megdouda Ourbih-Tari; Sofia Guebli; Abdelouhab Aloui

Addresses: Institut des Sciences et Technologie, Centre Universitaire Morsli Abdellah de Tipaza, 42000 Tipaza, Algeria; Laboratoire de Mathématiques Appliquées, Faculté des Sciences Exactes, Université de Bejaia, 06000 Bejaia, Algeria ' Laboratoire de Mathématiques Appliquées, Faculté des Sciences Exactes, Université de Bejaia, 06000 Bejaia, Algeria ' Laboratoire LiMed, Faculté des Sciences Exactes, Université de Bejaia, 06000 Bejaia, Algeria

Abstract: Monte Carlo methods (MC) and refined descriptive sampling (RDS) are sampling methods that can be used to produce input values for estimation of expectation of function of output variables. This paper gives an application of RDS method in a two-dimensional problem of a vibrating string. An empirical comparison of these two methods demonstrating the effectiveness of RDS on MC is performed by using the variance as a statistical criterion since both methods are unbiased.

Keywords: sampling method; variance; Monte Carlo; expectation.

DOI: 10.1504/IJCSM.2019.101097

International Journal of Computing Science and Mathematics, 2019 Vol.10 No.3, pp.276 - 287

Received: 01 Jul 2016
Accepted: 19 Jul 2017
Published online: 24 Jul 2019 *

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