A Characterization of the Gaussian Distribution

DOI10.1080/07362994.2013.817250zbMath1293.62027OpenAlexW2040313190MaRDI QIDQ2854343

Victor M. Kruglov

Publication date: 18 October 2013

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2013.817250

zbMATH Keywords

standard normal distributionchi-squared distribution with \(n\) degrees of freedom

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

Univariate likelihood projections and characterizations of the multivariate normal distribution ⋮ A characterisation of the Gaussian distribution through the sample variance

Cites Work

• A characterization of the Poisson distribution
• Generalization of Cramér's and Linnik's factorization theorems in the continuation theory of distribution functions
• A characterization of the convolution of Gaussian and Poisson distributions
• Integrals with respect to infinitely divisible distributions in a Hilbert space
• A Note on Infinitely Divisible Distributions
• Probabilistic Applications of Tauberian Theorems

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