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20122025
most citedGaussian fluctuations for the stochastic heat equation with colored noise

29 citations · 64 across the 15 of their papers we have counts for

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5 papers · 1 filter

math.ST2021

Least square estimators in linear regression models under negatively superadditive dependent random observations

Karine Bertin, Soledad Torres, Lauri Viitasaari

In this article we study the asymptotic behaviour of the least square estimator in a linear regression model based on random observation instances. We provide mild assumptions on t…

math.ST2020

Latent Model Extreme Value Index Estimation

Joni Virta, Niko Lietzén, Lauri Viitasaari +1

We propose a novel strategy for multivariate extreme value index estimation. In applications such as finance, volatility and risk present in the components of a multivariate time s…

math.ST2020

Modeling temporally uncorrelated components for complex-valued stationary processes

Niko Lietzén, Lauri Viitasaari, Pauliina Ilmonen

We consider a complex-valued linear mixture model, under discrete weakly stationary processes. We recover latent components of interest, which have undergone a linear mixing. We st…

math.ST2019

Vector-valued Generalised Ornstein-Uhlenbeck Processes

Marko Voutilainen, Lauri Viitasaari, Pauliina Ilmonen +2

Generalisations of the Ornstein-Uhlenbeck process defined through Langevin equation such as fractional Ornstein-Uhlenbeck processes, have recently receiv…

math.ST201711 cited

On model fitting and estimation of strictly stationary processes

Marko Voutilainen, Lauri Viitasaari, Pauliina Ilmonen

Stationary processes have been extensively studied in the literature. Their applications include modeling and forecasting numerous real life phenomena such as natural disasters, sa…