Further development of Qi-type integral inequality.
A note on the martingale inequality.
A note on the upper bounds for the dispersion.
Some general Ostrowski-Grüss type inequalities.
A discrete version of an open problem and several answers.
Further development of an open problem.
Concentration inequalities for semi-bounded martingales
In this paper, we apply the technique of decoupling to obtain some exponential inequalities for semi-bounded martingale, which extend the results of de la Peña, Ann. probab. 27 (1999) 537–564.
Concentration inequalities for semi-bounded martingales
In this paper, we apply the technique of decoupling to obtain some exponential inequalities for semi-bounded martingale, which extend the results of de la Peña, (1999) 537–564.
Moderate deviation principles for sums of i.i.d. random compact sets
We prove a moderate deviation principle for Minkowski sums of i.i.d. random compact sets in a Banach space.
An answer to the conjecture of Satnoianu.
Refinements of inequalities between the sum of squares and the exponential of sum of a nonnegative sequence.
Some limit behavior for linear combinations of order statistics
In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the -th order statistics from uniform distribution, Gini mean difference statistics and the -th order statistics from general continuous distribution are obtained.
A note on the exponential convergence rate for products of sums
Complete convergence for weighted sums of pairwise independent random variables
In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
Poincaré and log-Sobolev inequality for stationary Gaussian processes and moving average processes
For stationary Gaussian processes, we obtain the necessary and sufficient conditions for Poincaré inequality and log-Sobolev inequality of process-level and provide the sharp constants. The extension to moving average processes is also presented, as well as several concrete examples.
Various limit theorems for ratios from the uniform distribution
In this paper, we consider the ratios of order statistics in samples from uniform distribution and establish strong and weak laws for these ratios.
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