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20052026
most citedAnalysis of the Rosenblatt process

222 citations · 569 across the 70 of their papers we have counts for

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Showing 2008Show all

5 papers · 1 filter

math.PR2008★ 1 cited

Stochastic Heat Equation with Multiplicative Fractional-Colored Noise

Raluca Balan, Ciprian Tudor

We consider the stochastic heat equation with multiplicative noise in $\bR_{+} \times \bR^d$, where denotes the Wick product, and the s…

math.ST2008★ 58 cited

A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter

Jean-Marc Bardet, Ciprian Tudor

By using chaos expansion into multiple stochastic integrals, we make a wavelet analysis of two self-similar stochastic processes: the fractional Brownian motion and the Rosenblatt…

math.PR2008

Limits of bifractional Brownian noises

Makoto Maejima, Ciprian Tudor

Let be a bifractional Brownian motion with two parameters and . The main result of this paper is that the increment process…

math.PR2008★ 2 cited

Self-similarity parameter estimation and reproduction property for non-Gaussian Hermite processes

Alexandra Chronopoulou, Frederi Viens, Ciprian Tudor

We consider the class of all the Hermite processes of order and with Hurst parameter . The pr…

math.PR2008★ 1 cited

Occupation densities for certain processes related to fractional Brownian motion

Khalifa Es-Sebaiy, David Nualart, Youssef Ouknine +1

In this paper we establish the existence of a square integrable occupation density for two classes of stochastic processes. First we consider a Gaussian process with an absolutely…