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A LOCAL LIMIT THEOREM FOR SUMS OF INDEPENDENT RANDOM VECTORS
THEOREM FOR SUMS INDEPENDENT RANDOM
2015/9/29
We prove a local limit the sums of independent random vectors satisfying appropriate tightness assumptions. In particular, the local limit theorem holds in dimension 1 if the summands are uniformly bo...
A sharp correlation inequality with an application to almost sure local limit theorem
Correlation inequality i.i.d. random variables lattice distributed
2011/2/21
We prove a new sharp correlation inequality for sums of i.i.d.square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theorem for iid square in...