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This note gives the convergence rate in the central limit theorem and the random central limit theorem of some functions of the average of independent random variables.
This note contains the proof of a decoupling ineqnality for multilinear functions of symmetric B-valued stable random vectors.
Conditioned limit theorems for functions of the average of i.i.d. random variables。
A new approximation of the unifonn empirical and quantile processes results in a weak invariance principle indexed by functions for the general empirical process. Consequences of this result are we...
We give tbe rate of convergence in the central limit theorem and the random central limit theorem for functions belonging to the class I of all real differentiable functions g such that gr E L(1).
The Levy and the Dudley metrics are used to give estimates of the rate convergence in the centrat- limit theorem for some functions of the average of independent random variables.
Consistency of M-estimators in a linear model, generated by nonmonotone and discontinuous psi-functions
Complements on decoupling inequalities for multilinear functions in stable random vectors。
Some classes of Banach spaces of measurable operator- valued functions which are p-integrable with respect to a oertain operator-valued measure are introduced. As a special case one obtains the Hil...
U-functions of concomitants of order statistics
In [3] there were studied Banach spaces of (equivalence classes of) functions @ whose values are unbounded operators, in general, and which are p-integrable with respect to operator-valued measures...
We show how the mean of a monotone function (dened on a state space equipped with a partial ordering) can be estimated, using ergodic averages calculated from upper and lower dominating processes of...

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