Special functions and characterizations of probability distributions by zero regression properties

DOI10.1016/0047-259X(83)90022-2zbMath0517.62020OpenAlexW1982947867MaRDI QIDQ1053379

Barbara Heller

Publication date: 1983

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(83)90022-2

zbMATH Keywords

gammacharacterizationsrecurrence relationsspecial functionsnormalbinomialPoissonnegative binomialpolynomial statisticsanalytic characteristic functionszero regression properties

Mathematics Subject Classification ID

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

Related Items (6)

Regression of polynomial statistics on the sample mean and natural exponential families ⋮ Methods of constructing characterizations by constancy of regression on the sample mean and related problems for NEF's ⋮ The second Kummer function with matrix parameters and its asymptotic behaviour ⋮ A moments approach to some characterization problems ⋮ Characterizations of natural exponential families with power variance functions by zero regression properties ⋮ Elliptical symmetry and exchangeability with characterizations

Cites Work

• Lie theory and special functions
• Characterizations of populations using regression properties
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