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On Smoothing Estimation For Seasonal Times Series With Long Cycles
Large deviation Large p, small n Optimal detection boundary Sparse signal Thresholding Weak dependence
2016/1/25
We consider two alternative tests to the Higher Criticism test of Donoho and Jin (2004) for high dimensional means under the spar-sity of the non-zero means for sub-Gaussian distributed data with unkn...
On Smoothing Estimation For Seasonal Times Series With Long Cycles
Kernel estimator M-dependent seasonal-dummy ap- proach
2016/1/20
We consider a kernel smoothing estimator to the periodic component of seasonal time series which have quite large periodicity relative to the length of the time series. The estimator is formulated by ...
Long cycles in subgraphs of (pseudo)random directed graphs
Long cycles subgraphs of (pseudo)random directed graphs
2010/12/8
We study the resilience of random and pseudorandom directed graphs with respect to the property of having long directed cycles. For every 0 < < 1/2 we find a constant c = c(
) such that the followin...
The probability of long cycles in interchange processes
probability of long cycles interchange processes
2010/12/8
A well known phenomenon in the theory of mixing times1 is that occasionally certain aspects
of a system mix much faster than the system as a whole. Pemantle [12] constructed an example of
a random w...