On identically distributed linear statistics

DOI10.1007/BF02504763zbMath0371.62025OpenAlexW2056363290MaRDI QIDQ1243540

Ryoichi Shimizu, Laurie Davies

Publication date: 1976

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02504763

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (6)

On characterization of multivariate stable distributions via random linear statistics ⋮ Characterization of multivariate distributions through a functional equation of their characteristic functions ⋮ A characterization of the exponential distribution ⋮ Linear statistics and exponential families ⋮ On a functional equation in the theory of linear statistics ⋮ The role of functional equations in stochastic model building

Cites Work

• On the local behavior of characteristic functions
• Characteristic functions satisfying a functional equation. I
• On a linear form whose distribution is identical with that of a monomial
• ON A CHARACTERIZATION OF THE NORMAL LAW
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