Robust statistics are statistics that maintain their properties even if the underlying distributional assumptions are incorrect. Robust statistical methods...
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Median (redirect from Median (statistics))
the median. For this reason, the median is of central importance in robust statistics. Median is a 2-quantile; it is the value that partitions a set into...
63 KB (7,987 words) - 23:47, 14 June 2025
In robust statistics, robust regression seeks to overcome some limitations of traditional regression analysis. A regression analysis models the relationship...
21 KB (2,643 words) - 02:33, 30 May 2025
In statistics, robust measures of scale are methods which quantify the statistical dispersion in a sample of numerical data while resisting outliers. These...
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Outlier (redirect from Outliers in statistics)
case of measurement error, one wishes to discard them or use statistics that are robust to outliers, while in the case of heavy-tailed distributions,...
27 KB (3,491 words) - 03:04, 9 February 2025
Hettmansperger, T. P.; McKean, J. W. (1998). Robust Nonparametric Statistical Methods. Kendall's Library of Statistics. Vol. 5. London: Edward Arnold. ISBN 0-340-54937-8...
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Statistics Day Robust statistics Foundations and major areas of statistics Philosophy of statistics Probability interpretations Foundations of statistics List of...
78 KB (8,835 words) - 00:51, 23 June 2025
Median absolute deviation (category Robust statistics)
In statistics, the median absolute deviation (MAD) is a robust measure of the variability of a univariate sample of quantitative data. It can also refer...
8 KB (1,096 words) - 07:57, 22 March 2025
Huber loss (category Robust statistics)
In statistics, the Huber loss is a loss function used in robust regression, that is less sensitive to outliers in data than the squared error loss. A variant...
8 KB (1,098 words) - 15:41, 14 May 2025
Look up Robustness, robustness, Robust, or robust in Wiktionary, the free dictionary. Robustness is the property of being strong and healthy in constitution...
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more robust to outliers, so that if the Gaussian model is questionable or approximate, there may advantages to using the median (see Robust statistics)....
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method helped popularize robust statistics in computer vision. This was facilitated by several papers that connected robust penalty functions to classical...
29 KB (2,831 words) - 05:50, 23 May 2025
Medcouple (category Robust statistics)
In statistics, the medcouple is a robust statistic that measures the skewness of a univariate distribution. It is defined as a scaled median difference...
24 KB (3,544 words) - 00:46, 11 November 2024
Exploratory data analysis (redirect from Exploratory statistics)
related to two other developments in statistical theory: robust statistics and nonparametric statistics, both of which tried to reduce the sensitivity of statistical...
19 KB (2,221 words) - 20:43, 25 May 2025
Winsorizing (category Robust statistics)
percentile set to the 95th percentile. Winsorized estimators are usually more robust to outliers than their more standard forms, although there are alternatives...
7 KB (846 words) - 05:01, 22 November 2024
Robust Principal Component Analysis (RPCA) is a modification of the widely used statistical procedure of principal component analysis (PCA) which works...
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mean may not coincide with one's notion of "middle". In that case, robust statistics, such as the median, may provide a better description of central tendency...
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Estimator (redirect from Estimate (statistics))
determine the best rules to use under given circumstances. However, in robust statistics, statistical theory goes on to consider the balance between having...
25 KB (3,723 words) - 17:48, 23 June 2025
Nassim Nicholas Taleb (redirect from The Logic and Statistics of Fat Tails)
(but useless) comments I hear is that some solutions can come from 'robust statistics.' I wonder how using these techniques can create information where...
55 KB (5,662 words) - 02:15, 23 May 2025
M-estimator (category Robust statistics)
motivated by robust statistics, which contributed new types of M-estimators.[citation needed] However, M-estimators are not inherently robust, as is clear...
22 KB (2,854 words) - 17:15, 5 November 2024
Hodges–Lehmann estimator (category Robust statistics)
In statistics, the Hodges–Lehmann estimator is a robust and nonparametric estimator of a population's location parameter. For populations that are symmetric...
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Weighted median (category Robust statistics)
1888. Like the median, it is useful as an estimator of central tendency, robust against outliers. It allows for non-uniform statistical weights related...
9 KB (1,274 words) - 00:27, 15 October 2024
Info-gap decision theory (category Robust statistics)
Info-gap decision theory seeks to optimize robustness to failure under severe uncertainty, in particular applying sensitivity analysis of the stability...
37 KB (4,246 words) - 08:46, 21 June 2025
Least trimmed squares (category Robust statistics)
Least trimmed squares (LTS), or least trimmed sum of squares, is a robust statistical method that fits a function to a set of data whilst not being unduly...
4 KB (543 words) - 05:06, 22 November 2024
Least absolute deviations (category Robust statistics)
deviation Ordinary least squares Robust regression "Least Absolute Deviation Regression". The Concise Encyclopedia of Statistics. Springer. 2008. pp. 299–302...
16 KB (2,154 words) - 04:55, 22 November 2024
Random sample consensus (category Robust statistics)
CiteSeerX 10.1.1.106.3035. Archived from the original on 2023-02-04. Robust Statistics, Peter. J. Huber, Wiley, 1981 (republished in paperback, 2004), page...
29 KB (4,146 words) - 19:24, 22 November 2024
Trimmed estimator (category Robust statistics)
values, a process called truncation. This is generally done to obtain a more robust statistic, and the extreme values are considered outliers. Trimmed estimators...
4 KB (613 words) - 06:28, 15 July 2024
Truncated mean (category Robust statistics)
truncated mean and is most robust. As with other trimmed estimators, the main advantage of the trimmed mean is robustness and higher efficiency for mixed...
9 KB (1,192 words) - 19:10, 26 June 2023
works in robust statistics and outlier detection Sheila Bird (born 1952), British biostatistician whose assessment of misuse of statistics led to statistical...
71 KB (8,643 words) - 07:13, 18 June 2025
In statistics, robust Bayesian analysis, also called Bayesian sensitivity analysis, is a type of sensitivity analysis applied to the outcome from Bayesian...
7 KB (940 words) - 19:05, 25 December 2022