Some results following from conditional characteristic functions

DOI10.1080/03610926.2014.906614zbMath1342.60019OpenAlexW2346660758MaRDI QIDQ5739184

Lan Lei, De-Mei Yuan

Publication date: 15 July 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2014.906614

zbMATH Keywords

conditional characteristic functionconditional independenceconditional central limit theoremconditional weak law of large numbersconditionally identical distributionconditional inversion theoremconditional uniqueness theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50)

Related Items (1)

Stable limit theorems for empirical processes under conditional neighborhood dependence

Cites Work

• Some conditional results for conditionally strong mixing sequences of random variables
• Conditional limit theorems for conditionally linearly negative quadrant dependent random variables
• Conditional limit theorems for conditionally negatively associated random variables
• Conditional versions of limit theorems for conditionally associated random variables
• Conditional demimartingales and related results
• Conditional independence, conditional mixing and conditional association
• On conditional Borel-Cantelli lemmas for sequences of random variables
• Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables
• Some inequalities for conditional demimartingales and conditional \(N\)-demimartingales
• CONDITIONAL CENTRAL LIMIT THEOREMS FOR A SEQUENCE OF CONDITIONAL INDEPENDENT RANDOM VARIABLES
• On Conditional Independence, Mixing, and Association

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