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20152019
most citedLimit theorems for stationary increments Lévy driven moving averages

7 citations · 9 across the 4 of their papers we have counts for

collaborators

6 papers

math.PR20192 cited

A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages

Andreas Basse-O'Connor, Mark Podolskij, Christoph Thäle

In this paper we obtain Berry-Esseén bounds on partial sums of functionals of heavy-tailed moving averages, including the linear fractional stable noise, stable fractional ARIMA pr…

math.PR2018

On limit theory for functionals of stationary increments Levy driven moving averages

Andreas Basse-O'Connor, Claudio Heinrich, Mark Podolskij

In this paper we obtain new limit theorems for variational functionals of high frequency observations of stationary increments Lévy driven moving averages. We will see that the asy…

math.PR2018

Local asymptotic self-similarity for heavy tailed harmonizable fractional Lévy motions

Andreas Basse-O'Connor, Thorbjørn Grønbæk, Mark Podolskij

In this work we characterize the local asymptotic self-similarity of harmonizable fractional Lévy motions in the heavy tailed case. The corresponding tangent process is shown to be…

math.PR2017

On infinite divisibility of a class of two-dimensional vectors in the second Wiener chaos

Andreas Basse-O'Connor, Jan Pedersen, Victor Rohde

Infinite divisibility of a class of two-dimensional vectors with components in the second Wiener chaos is studied. Necessary and sufficient conditions for infinite divisibility is…

math.PR2016

Limit theorems for a class of stationary increments Levy driven moving averages

Andreas Basse-O'Connor, Raphaël Lachièze-Rey, Mark Podolskij

In this paper we present some new limit theorems for power variation of th order increments of stationary increments Lévy driven moving averages. In the infill asymptotic settin…

math.PR20157 cited

Limit theorems for stationary increments Lévy driven moving averages

Andreas Basse-O'Connor, Raphaël Lachièze-Rey, Mark Podolskij

In this paper we present some new limit theorems for power variation of th order increments of stationary increments Lévy driven moving averages. In this infill sampling setting…