MATEC Web Conf.
Volume 254, 2019XXIII Polish-Slovak Scientific Conference on Machine Modelling and Simulations (MMS 2018)
|Number of page(s)||11|
|Section||Theoretical and Applied Mathematics in Engineering|
|Published online||15 January 2019|
Monte Carlo comparison of estimation methods for the two-parameter lognormal distribution
Department of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 8215/1, 010 26 Žilina, Slovakia
2 Department of Materials Engineering, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 8215/1, 010 26 Žilina, Slovakia
* Corresponding author: firstname.lastname@example.org
In the paper we compare performance of estimation methods for the two-parameter lognormal distribution via the Monte Carlo simulation. The comparison of performances is made with respect to their biases, variances, root mean square error. The methods are applied on real data set representing experimentally obtained values of ultimate tensile strength of material.
Key words: lognormal distribution / maximum likelihood method / method of moments / Finney method / Monte Carlo simulation / ultimate tensile strength
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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