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Edgeworth expansions for studentized statistics under weak dependence
Cramer’s condition linear process M-estimators smooth func-tion model spectral density estimator strong mixing
2010/3/9
In this paper, we derive valid Edgeworth expansions for studen-
tized versions of a large class of statistics when the data are generated
by a strongly mixing process. Under dependence, the asymptot...
Edgeworth expansions and bootstrap for degenerate von Mises statistics
Edgeworth expansions bootstrap for degenerate Mises statistics
2009/9/22
We prove Edgeworth expansions for degenerate von
Mises statistics like the Beran, Watson, and Cram&-von Mises
goodness-of-fit statistics. Furthermore, we show that the bootstrap
approximation works...
Edgeworth expansions for L-statistics
Linear combinations of order statistics Edgeworth cxpanaions rate of convergence
2009/9/21
We study the appraxhatioa by a short mgeworth
expmdon of the distribution functian of no
of order sratistim of n indewdent random vitriabIes with common
diswibutian fmction F. Under the wumptians
...
Edgeworth Expansions of Some Statistics Including the LB-statistic and V-statistic
Edgeworth expansion linear combination of U-statistics V-statistic
2009/3/10
As an estimator of an estimable parameter, Toda and Yamato (2001) introduced a linear combination Yn of U-statistics which includes V-statistic and LB-statistic. We give the Edgeworth expansions of th...