Conditional Central Limit Theorem

DOI10.1137/S0040585X97T98837XzbMath1377.60039OpenAlexW2780248398MaRDI QIDQ4602299

Alexander V. Bulinski

Publication date: 9 January 2018

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t98837x

zbMATH Keywords

conditional independencefeature selectionconditional central limit theoremarray of random variablesconditional characteristic functionsregression function moments

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (3)

Stein's method for conditional central limit theorem ⋮ Unnamed Item ⋮ Formation of similarity-reflecting binary vectors with random binary projections

Cites Work

• Conditional limit theorems for conditionally negatively associated random variables
• Conditional versions of limit theorems for conditionally associated random variables
• Conditional independence, conditional mixing and conditional association
• On the asymptotic normality of the \(L_2\)-error in partitioning regression estimation
• A distribution-free theory of nonparametric regression
• Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables
• CONDITIONAL CENTRAL LIMIT THEOREMS FOR A SEQUENCE OF CONDITIONAL INDEPENDENT RANDOM VARIABLES
• On Conditional Independence, Mixing, and Association
• Foundations of Modern Probability
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