The law of large numbers for -statistics under absolute regularity.
Weak convergence for the row sums of a triangular array of empirical processes indexed by a manageable triangular array of functions.
The law of the iterated logarithm for a triangular array of empirical processes.
The large deviation principle for certain series
We study the large deviation principle for stochastic processes of the form , where is a sequence of i.i.d.r.v.’s with mean zero and . We present necessary and sufficient conditions for the large deviation principle for these stochastic processes in several situations. Our approach is based in showing the large deviation principle of the finite dimensional distributions and an exponential asymptotic equicontinuity condition. In order to get the exponential asymptotic equicontinuity condition,...
The large deviation principle for certain series
We study the large deviation principle for stochastic processes of the form , where is a sequence of i.i.d.r.v.'s with mean zero and . We present necessary and sufficient conditions for the large deviation principle for these stochastic processes in several situations. Our approach is based in showing the large deviation principle of the finite dimensional distributions and an exponential asymptotic equicontinuity condition. In order to get the exponential asymptotic equicontinuity condition,...
Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample”
The bootstrap of the mean with arbitrary bootstrap sample size
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