On spatial point processes with composition-valued marks

M Eckardt, M Myllymäki, S Greven - arXiv preprint arXiv:2501.16049, 2025 - arxiv.org
Methods for marked spatial point processes with scalar marks have seen extensive
development in recent years. While the impressive progress in data collection and storage …

[HTML][HTML] Testing global and local dependence of point patterns on covariates in parametric models

M Myllymäki, M Kuronen, T Mrkvička - Spatial Statistics, 2021 - Elsevier
Testing for a covariate effect in a parametric point process model is usually done through the
Wald test, which relies on an asymptotic null distribution of the test statistic. We propose a …

Depth for samples of sets with applications to testing equality in distribution of two samples of random sets

V Gotovac Ðogaš - Journal of Statistical Computation and …, 2024 - Taylor & Francis
This paper introduces several depths for random sets with possibly non-convex realisations,
proposes ways to estimate the depths based on the samples and compares them with …

[HTML][HTML] Testing the first-order separability hypothesis for spatio-temporal point patterns

M Ghorbani, N Vafaei, J Dvořák, M Myllymäki - Computational Statistics & …, 2021 - Elsevier
First-order separability of a spatio-temporal point process plays a fundamental role in the
analysis of spatio-temporal point pattern data. While it is often a convenient assumption that …

Robust functional ANOVA with application to additive manufacturing

F Centofanti, BM Colosimo, ML Grasso… - Journal of the Royal …, 2023 - academic.oup.com
In this paper, we propose a new robust non-parametric functional analysis of variance
method (RoFANOVA) that reduces the weights of outlying curves on the functional analysis …

The power of visualizing distributional differences: formal graphical n-sample tests

K Konstantinou, T Mrkvička, M Myllymäki - Computational Statistics, 2024 - Springer
Classical tests are available for the two-sample test of correspondence of distribution
functions. From these, the Kolmogorov–Smirnov test provides also the graphical …

Conformal novelty detection for replicate point patterns with FDR or FWER control

CAN Biscio, A Mazoyer, MV Vejling - arXiv preprint arXiv:2501.18195, 2025 - arxiv.org
Monte Carlo tests are widely used for computing valid p-values without requiring known
distributions of test statistics. When performing multiple Monte Carlo tests, it is essential to …

Graphical n-sample tests of correspondence of distributions

K Konstantinou, T Mrkvička, M Myllymäki - arXiv preprint arXiv:2403.01838, 2024 - arxiv.org
Classical tests are available for the two-sample test of correspondence of distribution
functions. From these, the Kolmogorov-Smirnov test provides also the graphical …

Global quantile regression

T Mrkvička, K Konstantinou, M Kuronen… - arXiv preprint arXiv …, 2023 - arxiv.org
Quantile regression is used to study effects of covariates on a particular quantile of the data
distribution. Here we are interested in the question whether a covariate has any effect on the …

Comparison of approaches for local testing with functional test statistics

T Mrkvička, M Myllymäki - Journal of Statistical Computation and …, 2024 - Taylor & Francis
Several new methods have been recently developed for the problem of domain selection
when the test statistic is functional. That is, the aim is to distinguish between the two domains …