3 citations · 6 across the 10 of their papers we have counts for
5 papers · 2 filters
Median Radial Function: A Robust, Covariance-Free Framework and Applications
Elsayed Elamir
A median-radius framework for assessing centrality in multivariate data using median distances is proposed. Based on the proposed framework, a scale-invariant measure of radial con…
Exploring Multivariate Data Using Median Absolute Deviation Depth
Elsayed Elamir
We propose and analyze the moving median absolute deviation (MMAD) as a robust depth construction based on the median absolute distance functional with particular emphasis on its l…
Depth-Based Vector Median Absolute Deviation Moments for Robust Multivariate Shape Analysis
Elsayed Elamir
Classical multivariate shape analysis relies on covariance-standardized moments, such as Mardia skewness and kurtosis, which are sensitive to outliers and require finite moments. T…
A Robust Moment System Based on Absolute Deviations and Quantile Slicing
Elsayed Elamir
This study develops two robust, quantile-sliced moment systems, mean and median absolute deviation (MAD and MedAD moments), to serve as foundational tools in parametric modeling, s…
A Percentile-Focused Regression Method for Applied Data with Irregular Error Structures
Elsayed Elamir
Irregular errors such as heteroscedasticity and nonnormality remain major challenges in linear modeling. These issues often lead to biased inference and unreliable measures of unce…