Three dual regression schemes for the Lukacs theorem

DOI10.1007/S001840100153zbMath1433.62045OpenAlexW2031804234MaRDI QIDQ745353

Jacek Wesołowski, Konstancja Bobecka

Publication date: 14 October 2015

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001840100153

zbMATH Keywords

difference equationsgamma distributionmethod of momentsbeta distributioncharacterization of probability distributionsconstancy of regression

Mathematics Subject Classification ID

Characterization and structure theory of statistical distributions (62E10)

Related Items (8)

On the Lukacs property for free random variables ⋮ Multivariate Lukacs theorem ⋮ On some characterizations of the mixture of gamma distributions ⋮ Dual Lukacs regressions of negative orders for noncommutative variables ⋮ Identification of power distribution mixtures through regression of exponentials ⋮ Dual Lukacs regressions for non-commutative variables ⋮ On characterizations of the gamma and generalized inverse Gaussian distributions ⋮ Conditional expectations through Boolean cumulants and subordination -- towards a better understanding of the Lukacs property in free probability

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