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On Asymptotically Distribution Free Tests with Parametric Hypothesis for Ergodic Diffusion Processes
Cramer-von Mises tests ergodic diffusion process goodness of fit test asymptotically distribution free
2013/6/14
We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coe...
On Asymptotically Distribution Free Tests with Parametric Hypothesis for Ergodic Diffusion Processes
Cramer-von Mises tests ergodic diffusion process goodness of fit test asymptotically distribution free
2013/6/14
We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coe...
Adaptive asymptotically efficient estimation in heteroscedastic nonparametric regression
asymptotic bounds adaptive estimation efficient estimation het-eroscedastic regression nonparametric regression Pinsker’s constant
2010/3/10
The paper deals with asymptotic properties of the adaptive proce-
dure proposed in the author paper, 2007, for estimating an unknown
nonparametric regression. We prove that this procedure is asympto...
Asymptotically optimum estimation of a probability in inverse binomial sampling
Asymptotic properties Inverse binomial sampling Sequential es-timation.
2010/3/9
The optimum quality that can be asymptotically achieved in the estimation
of a probability p using inverse binomial sampling is considered in this paper.
A general definition of quality is used, in ...
Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup
Invariantmeasures stochastic evolution equationsin Hilbert spaces
2009/4/22
We investigate existence and permanence properties of invariant measures for abstract stochastic Cauchy problems of the form
dU(t) = (AU(t) + f) dt + B dWH(t),
governed by the generator A of...
Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup
Invariant measures stochastic problems existence
2009/4/1
We investigate existence and permanence properties of invariant measures for abstract stochastic Cauchy problems of the form dU(t) = (AU(t) + f) dt + B dWH(t),governed by the generator A of an asympto...
On the false discovery rate and an asymptotically optimal rejection curve
Crossing point extended Glivenko–Cantelli theorem false discoveryproportion false discovery rate familywise error rate
2010/3/19
In this paper we introduce and investigate a new rejection curve
for asymptotic control of the false discovery rate (FDR) in multiple
hypotheses testing problems. We first give a heuristic motivatio...
Asymptotically Optimal Estimator of the Parameter of Semi-Linear Autoregression
Martingale estimator optimization convergence
2010/4/30
The difference equations k = af(k−1) + "k, where ("k) is a square
integrable difference martingale, and the differential equation d =
−af()dt + d, where is a square integrable mar...