Early sample measures of variability.

DOI10.1214/ss/1028905831zbMath1059.62500OpenAlexW1978673502MaRDI QIDQ1431153

Herbert A. David

Publication date: 27 May 2004

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/ss/1028905831

zbMATH Keywords

order statisticsrangechi-squared distributionstandard deviationLaplacemean deviationGaussmean differencemedian absolute deviationAbbeBienayméHelmertinterquartile distanceMeasures of dispersion

Mathematics Subject Classification ID

History of statistics (62-03) History of mathematics in the 19th century (01A55)

Related Items (13)

Dispersive orderings induced by differences of inter risk measures ⋮ Rank method for partial functional linear regression models ⋮ LINEAR FUNCTIONS OF UNIFORM ORDER STATISTICS AND B-SPLINES ⋮ Statistical inference on asymptotic properties of two estimators for the partially linear single-index models ⋮ Robust weighted least squares support vector regression algorithm to estimate the nanofluid thermal properties of water/graphene oxide-silicon carbide mixture ⋮ Parametric measures of variability induced by risk measures ⋮ A control chart for monitoring process variation using multiple dependent state sampling ⋮ Dimension reduction via local rank regression ⋮ Stochastic orders and measures of skewness and dispersion based on expectiles ⋮ A Dispersion Control Chart ⋮ A newS²control chart using repetitive sampling ⋮ Local rank estimation and related test for varying-coefficient partially linear models ⋮ Rank-based shrinkage estimation for identification in semiparametric additive models

Cites Work

• C. F. Gauss and the theory of errors
• Gauss's contributions to statistics
• Helmert's work in the theory of errors
• J. H. Lambert's work on probability
• R. J. Boscovich's work on probability
• ON THE PROBABILITY THAT TWO INDEPENDENT DISTRIBUTIONS OF FREQUENCY ARE REALLY SAMPLES FROM THE SAME PARENT POPULATION
• Simon Newcomb, Percy Daniell, and the History of Robust Estimation 1885-1920
• The History of Likelihood
• Origin of the Theory of Errors
• FORERUNNERS OF THE PEARSON χ²
• ON THE ESTIMATION OF DISPERSION BY LINEAR SYSTEMATIC STATISTICS
• LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICS
• Editorial Note
• ON THE DISTRIBUTION OF THE ESTIMATE OF MEAN DEVIATION OBTAINED FROM SAMPLES FROM A NORMAL POPULATION
• THE RANGE IN RANDOM SAMPLES
• Helmert's Distribution
• On Some Useful "Inefficient" Statistics
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