75 citations · 236 across the 75 of their papers we have counts for
13 papers · 1 filter
Parameter estimation in generalized fractional neuronal models
Pauliina Ilmonen, Milla Laurikkala, Enrica Pirozzi +2
We investigate a generalized stochastic fractional neuronal model combining fractional dynamics with correlated stochastic inputs. The proposed framework is described by a fraction…
On the Convergence of the Extended Kalman Filter on Stiefel Manifolds when Observing a Constant Particle with Measurement Errors
Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari
In this paper we first introduce the setting of filtering on Stiefel manifolds. Then, assuming the underlying system process is constant, the convergence of the extended Kalman fil…
Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs
Martin Andersson, Benny Avelin, Valentin Garino +2
In this article, we introduce a novel non-parametric predictor, based on conditional expectation, for the unknown diffusion coefficient function in the stochastic partial diffe…
Moment Estimator-Based Extreme Quantile Estimation with Erroneous Observations: Application to Elliptical Extreme Quantile Region Estimation
Jaakko Pere, Pauliina Ilmonen, Lauri Viitasaari
In many application areas of extreme value theory, the variables of interest are not directly observable but instead contain errors. In this article, we quantify the effect of thes…
On parameter estimation for based on projected data into
Jordi-Lluís Figueras, Aron Persson, Lauri Viitasaari
We consider the projected normal distribution, with isotropic variance, on the 2-sphere using intrinsic statistics. We show that in this case, the expectation commutes with the pro…
On the Impact of Approximation Errors on Extreme Quantile Estimation with Applications to Functional Data Analysis
Jaakko Pere, Benny Avelin, Valentin Garino +2
We study the effect of approximation errors in assessing the extreme behavior of heavy-tailed random objects. We give conditions for the approximation error such that the standard…
Concentration inequalities for leave-one-out cross validation
Benny Avelin, Lauri Viitasaari
In this article we prove that estimator stability, together with a gradient-growth condition on the expected fitted loss, is enough to provide concentration bounds for leave-one-ou…
On optimal prediction of missing functional data with memory
Pauliina Ilmonen, Nourhan Shafik, Tommi Sottinen +2
This paper considers the problem of reconstructing missing parts of functions based on their observed segments. It provides, for Gaussian processes and arbitrary bijective transfor…
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…
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…
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…
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…
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…