A Characterization of the Normal Distribution
From MaRDI portal
Publication:5836141
DOI10.1214/aoms/1177731647zbMath0060.28509OpenAlexW2078131860WikidataQ55897617 ScholiaQ55897617MaRDI QIDQ5836141
Publication date: 1942
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177731647
Related Items (25)
On a characterization of idempotent distributions on discrete fields and on the field of \(p\)-adic numbers ⋮ Characterizations of the normal distribution via the independence of the sample mean and the feasible definite statistics with ordered arguments ⋮ On Geary's theorem for the field of \(p\)-adic numbers ⋮ Assessing Normality of High-Dimensional Data ⋮ A characterisation of the normal distribution ⋮ A graphical method for assessing multivariate normality ⋮ Regularization and general methods in the theory of functional equations ⋮ Comparing large-sample maximum Sharpe ratios and incremental variable testing ⋮ On the functional equation f(x)g(y)=h(ax+by)k(cx+dy) ⋮ Regression of polynomial statistics on the sample mean and natural exponential families ⋮ A NEW CHARACTERIZATION OF THE NORMAL DISTRIBUTION AND TEST FOR NORMALITY ⋮ A characterization of the normal distribution ⋮ Modelling escalation in crime seriousness: a latent variable approach ⋮ On the Covariance Between the Sample Mean and Variance ⋮ Sampling distributions of skew normal populations associated with closed skew normal distributions ⋮ Characterization of the normal distribution by constant regression of quadratic statistics on linear statistics ⋮ A characterization of the normal distribution based on the sample mean and the residual vector ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics ⋮ Some multivariate statistical characterization theorems ⋮ The KLR-theorem revisited ⋮ On the joint distribution of the mean and standard deviation ⋮ Normal characterization by zero correlations ⋮ Alternative ways for the covariance between sample mean and variance ⋮ Unnamed Item ⋮ On the Interrelation Between the Sample Mean and the Sample Variance
This page was built for publication: A Characterization of the Normal Distribution
