A new graphical device based on trimmed mean

Trimmed mean has been considered a robust estimator of location parameters over the last five decades. The issue of outlier detection has been considered using analytical and graphical statistical tools. This article proposes a graphical device based on the trimmed mean to check whether data has any outliers or not, and in the presence of outliers, the proposed graphical device enables the estimation of the proportion of the outliers as well. The extension of the methodology to the high dimensional data is also outlined. Furthermore, the proposed visualization toolkit is implemented on economic data and gives us an idea of the presence/absence of influential observations/outliers. Journal of Statistical Research 2025, Vol. 59, No. 1, pp. 9-30

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Publication Details

Journal
Journal of Statistical Research
Published
2025-08-19
DOI
https://doi.org/10.3329/jsr.v59i1.83681
Primary Topic
Face and Expression Recognition
Type
article
Field-Weighted Citation Impact
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article

A new graphical device based on trimmed mean

Aayush, Subhra Sankar Dhar, Shalabah, Himanshu Shekhar Das
Journal of Statistical Research
Face and Expression Recognition
article

A new graphical device based on trimmed mean

Aayush, Subhra Sankar Dhar, Shalabah, Himanshu Shekhar Das
article en

Abstract

Trimmed mean has been considered a robust estimator of location parameters over the last five decades. The issue of outlier detection has been considered using analytical and graphical statistical tools. This article proposes a graphical device based on the trimmed mean to check whether data has any outliers or not, and in the presence of outliers, the proposed graphical device enables the estimation of the proportion of the outliers as well. The extension of the methodology to the high dimensional data is also outlined. Furthermore, the proposed visualization toolkit is implemented on economic data and gives us an idea of the presence/absence of influential observations/outliers. Journal of Statistical Research 2025, Vol. 59, No. 1, pp. 9-30

Journal of Statistical ResearchVol. 59(1)
Indian Institute of Technology Kanpur (IN)
Openalex Percentile: Top 80%
Face and Expression Recognition
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