Jianya Lu

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20202025

most citedAlmost sure invariance principle of

β -

mixing time series in Hilbert space

1 citations · 1 across the 2 of their papers we have counts for

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math.PR2022★ 1 cited

Almost sure invariance principle of $β -$ mixing time series in Hilbert space

Jianya Lu, Wei Biao Wu, Zhijie Xiao +1

Inspired by \citet{Berkes14} and \citet{Wu07}, we prove an almost sure invariance principle for stationary $β -$ mixing stochastic processes defined on Hilbert space. Our result can…

math.PR2020

Central limit theorem and Self-normalized Cramér-type moderate deviation for Euler-Maruyama Scheme

Jianya Lu, Yuzhen Tan, Lihu Xu

We consider a stochastic differential equation and its Euler-Maruyama (EM) scheme, under some appropriate conditions, they both admit a unique invariant measure, denoted by $π$ and…

Almost sure invariance principle of β−mixing time series in Hilbert space

Central limit theorem and Self-normalized Cramér-type moderate deviation for Euler-Maruyama Scheme

Almost sure invariance principle of $β -$ mixing time series in Hilbert space