The Monge–Ampère equation in transformation theory and an application to -probabilities

DOI10.1080/03610926.2015.1040509zbMath1381.60056OpenAlexW2314883865MaRDI QIDQ2979980

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Publication date: 27 April 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2015.1040509

zbMATH Keywords

explicit solutionscharacteristic functionsoptimal transportationmultivariate distributionsMonge-Ampère equationstransformation theory

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Large deviations (60F10) Monge-Ampère equations (35J96)

Cites Work

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• The maximal Strichartz family of Gaussian distributions: Fisher information, index of dispersion, and stochastic ordering
• Elliptic partial differential equations of second order
• On -characteristic functions and applications to asymptotic statistical inference
• Polar factorization and monotone rearrangement of vector‐valued functions

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