Comparing weak and strong convergence of density functions

DOI10.1016/j.spl.2023.109878zbMath1524.62077MaRDI QIDQ6115522

Stephen G. Walker

Publication date: 12 July 2023

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

smoothingmodeskernel density

Mathematics Subject Classification ID

Bayesian inference (62F15) Characterization and structure theory of statistical distributions (62E10) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Cites Work

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• Weak and strong convergence of derivations and stability of flows with respect to MGH convergence
• On equivalence of strong and weak convergence in \(L_ 1\)-spaces under extreme point conditions
• From weak to strong convergence in \(L_ 1\)-spaces via \(K\)-convergence
• A note on the strong convergence of distributions
• The consistency of posterior distributions in nonparametric problems
• Strong convergence results related to strict convexity
• On Bayes procedures
• Fundamentals of Nonparametric Bayesian Inference
• A Useful Convergence Theorem for Probability Distributions

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