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Performance of median absolute deviation and some alternatives to median absolute deviation control charts for skewed and heavily tailed process

Quality and Reliability Engineering International, 2021
AbstractIn this paper, charts based on robust scale estimators (known as and estimators) are proposed, and the performance of control charts based on median absolute deviation (MAD) is compared with those based on some alternatives to MAD, which do not need any location estimate, for normal, skewed, and heavily tailed distributions.
Kayode S. Adekeye   +3 more
openaire   +1 more source

Conditional median absolute deviation

Journal of Statistical Computation and Simulation, 2014
We introduce conditional median absolute deviation to characterize how the local variability of one quantitative random variable varies with another one. A two-step estimation procedure is proposed and the resultant estimator possesses an adaptiveness property. Simulation indicates that this estimator is much more efficient than its competitors such as
Tingyou Zhou, Liping Zhu
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Alternatives to the Median Absolute Deviation

Journal of the American Statistical Association, 1993
Abstract In robust estimation one frequently needs an initial or auxiliary estimate of scale. For this one usually takes the median absolute deviation MAD n = 1.4826 med, {|xi − med j x j |}, because it has a simple explicit formula, needs little computation time, and is very robust as witnessed by its bounded influence function and its 50% breakdown ...
Rousseeuw, Peter, Croux, C.
openaire   +2 more sources

Edge preserving image enhancement using median absolute deviation and iterative median absolute deviation

2017 International Conference on Electrical, Electronics, Communication, Computer, and Optimization Techniques (ICEECCOT), 2017
The aim of image enhancement is to produce a processed image which is more suitable than the original image for specific application. Application can be edge detection, boundary detection, image fusion, segmentation etc. In this paper different types of image enhancement algorithms in spatial domain are presented for gray scale images.
null Shivaprasad   +2 more
openaire   +1 more source

Wavelet Shrinkage of Magnetocardiograms Using the Median Absolute Deviation

2018 International Symposium on Electronics and Telecommunications (ISETC), 2018
Magnetocardiograms recorded in unshielded environments avoid the necessity of especially designed chambers, but are more sensitive to external interferences. Reliable denoising techniques have to be developed, which should not distort the clinical measurements.
Beatrice Arvinti   +2 more
openaire   +1 more source

CORE-Sketch: On Exact Computation of Median Absolute Deviation with Limited Space

Proceedings of the VLDB Endowment, 2023
Median absolute deviation (MAD), the median of the absolute deviations from the median, has been found useful in various applications such as outlier detection. Together with median, MAD is more robust to abnormal data than mean and standard deviation (SD).
Haoquan Guan, Ziling Chen, Shaoxu Song
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Weighted Median of the Data in Solving Least Absolute Deviations Problems

Communications in Statistics - Theory and Methods, 2012
We consider the weighted median problem for a given set of data and analyze its main properties. As an illustration, an efficient method for searching for a weighted Least Absolute Deviations (LAD)-line is given, which is used as the basis for solving various linear and nonlinear LAD-problems occurring in applications.
Scitovski, Rudolf   +2 more
openaire   +3 more sources

On the Circular Median Absolute Deviation

2022
The concentration of a circular distribution is typically measured through its mean resultant length, which also gives rise to the so-called circular variance. However, such a measure is not robust and contamination can affect its value, at least in the standardized bias sense.
Giovanni Camillo Porzio, Houyem Demni
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THE MEDIAN ABSOLUTE DEVIATIONS AND THEIR APPLICATIONS TO SHEWHART CONTROL CHARTS

Communications in Statistics - Simulation and Computation, 2002
ABSTRACT Standard Shewhart control charts with estimated control limits are widely used in practice. There are four ways to estimate the standard deviation σ generally, as which we call the average range, the average sample standard deviation, the pooled sample standard deviation and the average absolute deviation, respectively.
Chunjie Wu, Yi Zhao, Zhaojun Wang
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The exact finite-sample distribution of the median absolute deviation about the median of continuous random variables

Statistics & Probability Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nagatsuka, Hideki   +3 more
openaire   +1 more source

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