Lacunary System Related Publications
3 Strong Limit Theorems for Dependent Random Variables
Authors: Libin Wu, Bainian Li
Abstract:
In This Article We establish moment inequality of dependent random variables,furthermore some theorems of strong law of large numbers and complete convergence for sequences of dependent random variables. In particular, independent and identically distributed Marcinkiewicz Law of large numbers are generalized to the case of m0-dependent sequences.Keywords: Lacunary System, Generalized Gaussian, NA sequences, strong law of large numbers
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 12112 Strong Law of Large Numbers for *- Mixing Sequence
Authors: Bainian Li, Kongsheng Zhang
Abstract:
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are investigated. In particular, Teicher-s strong law of large numbers for independent random variables are generalized to the case of *-mixing random sequences and extended to independent and identically distributed Marcinkiewicz Law of large numbers for *-mixing.
Keywords: Lacunary System, strong law of large numbers, mixing squences, martingale differences
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 9611 Large Deviations for Lacunary Systems
Authors: Bainian Li, Kongsheng Zhang
Abstract:
Let Xi be a Lacunary System, we established large deviations inequality for Lacunary System. Furthermore, we gained Marcinkiewicz Larger Number Law with dependent random variables sequences.Keywords: Lacunary System, strong law of large numbers, larger deviations, Locally GeneralizedGaussian
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 828