A note on the smoothness of densities

DOI10.1016/j.jspi.2021.08.001zbMath1478.60060OpenAlexW3194721234MaRDI QIDQ2059437

Michael L. Stein

Publication date: 14 December 2021

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2021.08.001

zbMATH Keywords

convolutionfunctions of random variablesprojections of measures

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Statistical aspects of big data and data science (62R07)

Cites Work

• Unnamed Item
• Sudakov's typical marginals, random linear functionals and a conditional central limit theorem
• On generalized Malliavin calculus
• Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth
• Multivariate Archimedean copulas, \(d\)-monotone functions and \(\ell _{1}\)-norm symmetric distributions
• Absolutely continuous invariant measures for non-autonomous dynamical systems
• A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
• Existence and smoothness of the density for spatially homogeneous SPDEs
• The t Copula and Related Copulas
• Measurability of Partial Derivatives

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