Convergence of the -series for stationary sequences.
Convergence of the tail probability for weighted sums of negatively orthant dependent random variables
In this research, strong convergence properties of the tail probability for weighted sums of negatively orthant dependent random variables are discussed. Some sharp theorems for weighted sums of arrays of rowwise negatively orthant dependent random variables are established. These results not only extend the corresponding ones of Cai [4], Wang et al. [19] and Shen [13], but also improve them, respectively.
Convergence of Tight Asymptotic Martingales in a Banach Space.
Convergence of values in optimal stopping and convergence of optimal stopping times.
Convergence of weighted linear process for -mixing random variables.
Convergence of weighted sums of independent random variables and an extension to Banach space-valued random variables.
Convergence of weighted sums of random variables and uniform integrability concerning the weights.
Convergence of weighted sums of random variables in vector lattices
Convergence pour les processus empiriques éclatés
Convergence presque sûre de moyennes de sommes de Riemann
Convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables
In this paper the authors study the convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables. The results extend and improve the corresponding theorems of T. C. Hu, R. L. Taylor: On the strong law for arrays and for the bootstrap mean and variance, Int. J. Math. Math. Sci 20 (1997), 375–382.
Convergence properties for asymptotically almost negatively associated sequence.
Convergence rate in the strong law of large numbers for mixingales and superadditive structures.
Convergence rate of the distributions of normalized maximum likelihood estimators for irregular parametric families.
Convergence rates for probabilities of moderate deviations for multidimensionally indexed random variables.
Convergence rates for quadratic forms of random variables
Convergence rates for weighted sums of random variables with random indices
Convergence Rates in the Law of Large Numbers for Random Variables on Partially Ordered Sets.
Convergence results and sharp estimates for the voter model interfaces.
Convergence theorems for partial sums of arbitrary stochastic sequences.