The mean and median absolute deviations

DOI10.1016/S0895-7177(01)00109-1zbMath0996.60008OpenAlexW1982506807MaRDI QIDQ1600521

Tran Loc Hung, Thu Pham Gia

Publication date: 13 June 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00109-1

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Related Items (11)

Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model ⋮ The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation ⋮ On the efficiency of Gini's mean difference ⋮ Bayesian analysis in the \(L^{1}\)-norm of the mixing proportion using discriminant analysis ⋮ Sample Size Determination Using Bayesian Decision Criteria Under Absolute Value Loss Function ⋮ The exact finite-sample distribution of the median absolute deviation about the median of continuous random variables ⋮ The Distributionally Robust Chance-Constrained Vehicle Routing Problem ⋮ On the dispersive ordering and applications ⋮ On uses of mean absolute deviation: decomposition, skewness and correlation coefficients ⋮ New Properties of the Kumaraswamy Distribution ⋮ Bayesian decision criteria in the presence of noises under quadratic and absolute value loss functions

Cites Work

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• A characterization of the distribution function: the dispersion function
• Limit theorems for the median deviation
• Using the mean deviation in the elicitation of the prior distribution
• Determination of the beta distribution from its Lorenz curve
• Expansions for statistics involving the mean absolute deviations
• Descriptive statistics for non-parametric models. III: Dispersion
• Asymptotic independence of median and MAD
• Closed form summation for classical distributions: variations on a theme of de Moivre
• The Gaussian hare and the Laplacian tortoise: computability of squared-error versus absolute-error estimators. With comments by Ronald A. Thisted and M. R. Osborne and a rejoinder by the authors
• A consistent estimator for the mean deviation of the Pearson type distribution
• The Mixture of Normal Distributions with Different Variances
• Expected absolute departure of chi-square from its median
• The Influence Curve and Its Role in Robust Estimation
• Asymptotic Theory of Least Absolute Error Regression
• Some Applications of the Lorenz Curve in Decision Analysis
• Confidence Intervals Based on the Mean Absolute Deviation of a Normal Sample
• A Property of the Mean Deviation for the Pearson Type Distributions
• Percentage Points of H-Distribution for Computing Confidence Limits or Performing t-Tests by Way of the Mean Absolute Deviation
• Robust Estimates of Location: Survey and Advances
• MOMENTS OF THE RATIO OF THE MEAN DEVIATION TO THE STANDARD DEVIATION FOR NORMAL SAMPLES
• A FURTHER NOTE ON THE MEAN DEVIATION
• THE STATISTICAL TREATMENT OF MEAN DEVIATION
• ON THE DISTRIBUTION OF THE ESTIMATE OF MEAN DEVIATION OBTAINED FROM SAMPLES FROM A NORMAL POPULATION
• APPENDIX: NOTE ON THE CALCULATION OF THE DISTRIBUTION OF THE ESTIMATE OF MEAN DEVIATION IN NORMAL SAMPLES

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