Some characterizations of the natural exponential families in \(\mathbb{R}^2\) and related Laplace transforms

DOI10.1016/j.jmaa.2016.02.046zbMath1360.60038OpenAlexW2280315346MaRDI QIDQ268531

Joanna Matysiak

Publication date: 15 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.02.046

zbMATH Keywords

Laplace transformprobability measuresvariance functions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Laplace transform (44A10)

Cites Work

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• Meixner matrix ensembles
• Some extensions of a theorem of Marcinkiewicz
• Some further extensions of a theorem of Marcinkiewicz
• The diagonal multivariate natural exponential families and their classification
• On the determinant of the second derivative of a Laplace transform
• The \(2d+4\) simple quadratic natural exponential families on \(\mathbb{R}^ d\)
• Rational characteristic functions and geometric infinite divisibility
• Laplace transforms which are negative powers of quadratic polynomials

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