Conditional limit theorems for conditionally negatively associated random variables
From MaRDI portal
Publication:604819
DOI10.1007/s00605-010-0196-xzbMath1213.60065OpenAlexW2049833126MaRDI QIDQ604819
De-Mei Yuan, Jun An, Xiu-Shan Wu
Publication date: 12 November 2010
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-010-0196-x
conditional central limit theoremconditional stationarityconditionally complete convergenceconditional mean convergence theoremconditional negative associationconditional residual Cesàro alpha-integrabilityconditional Rosenthal type inequalityconditional strong residual Cesàro alpha-integrability
Related Items
Conditional acceptability of random variables ⋮ From Conditional Independence to Conditionally Negative Association: Some Preliminary Results ⋮ Some conditional results for conditionally strong mixing sequences of random variables ⋮ Complete q-th moment convergence for the maximum of partial sums of m-negatively associated random variables and its application to the EV regression model* ⋮ Conditional versions of limit theorems for conditionally associated random variables ⋮ Conditional limit theorems for conditionally linearly negative quadrant dependent random variables ⋮ Conditional Central Limit Theorem ⋮ Conditionally negative association resulting from multinomial distribution ⋮ Comparison of conditional expectations of functions of strong N-demimartingales and functions of sums of conditionally independent random variables ⋮ Laws of large numbers for Cesàro alpha-integrable random variables under dependence condition AANA or AQSI ⋮ Conditional demimartingales and related results ⋮ Some results following from conditional characteristic functions ⋮ The Conditional Convex Order and a Comparison Inequality ⋮ Some preliminary results on conditionally ψ-mixing sequences of random variables ⋮ Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability
Cites Work
- Conditional independence, conditional mixing and conditional association
- Cesàro \(\alpha\)-integrability and laws of large numbers. II
- Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
- Laws of large numbers for residual Cesàro alpha-integrable sequences under dependence assumptions
- Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
- Asymptotic optimal inference for non-ergodic models
- An invariance principle for certain dependent sequences
- A note on the almost sure convergence of sums of negatively dependent random variables
- Moment inequalities and weak convergence for negatively associated sequences
- An invariance principle for negatively associated random variables
- A comparison theorem on moment inequalities between negatively associated and independent random variables
- The law of iterated logarithm for negatively associated random variables
- Complete convergence for weighted sums of NA sequences
- Negative association of random variables, with applications
- Complete Convergence and the Law of Large Numbers
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item