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Modified boxplot for extreme data


Babura, Babangida Ibrahim and Adam, Mohd Bakri and Fitrianto, Anwar and Abdul Samad, Abdul Rahim (2016) Modified boxplot for extreme data. In: 3rd ISM International Statistical Conference 2016 (ISM III), 9-11 Aug. 2016, Institute of Mathematical Sciences, University of Malaya. (pp. 1-9).


A boxplot is an exploratory data analysis (EDA) tool for a compact distributional summary of a data set. It is designed to captures all typical observations and displays the location, spread, skewness and the tail of the data. The precision of some of this functionality is considered to be more reliable for symmetric data type and thus less appropriate for skewed data such as the extreme data. Many observations from extreme data were erroneously marked as outliers by the Tukeys standard boxplot. We proposed a modified boxplot fence adjustment using the Bowley coefficient, a robust skewness measure. The adjustment will enable us to detect inconsistent observations without any parametric assumption about the distribution of the data. The new boxplot is capable of displaying some additional features such as the location parameter region of the Gumbel fitted extreme data. A simulated and real life data were used to show the advantages of this development over those found in the literature.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Economics and Management
Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4982872
Publisher: AIP Publishing
Keywords: Boxplot; Extreme data
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:02
Last Modified: 26 Sep 2017 04:02
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4982872
URI: http://psasir.upm.edu.my/id/eprint/57312
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