Contact
Dr. Jürgen Kampf
Institute of mathematics
Technikerstraße 13, room 722c
6020 Innsbruck
0512 507 53875
juergen.kampf@uibk.ac.at
Teaching
Winter 2020/2021
Einführung in die höhere Stochastik (lecture and proseminar)
Summer 2021
Stochastik I (lecture)
Winter 2021/2022
Einführung in die höhere Stochastik (lecture and proseminar)
Bachelor and master theses
Topics:
- Distribution of local linear estimators in boundary regression (bachelor)
- Estimation of the scale parameter of the error distribution in boundary regression (master)
- Voronoi-based estimation of surface area and other geometric functionals from pixel images (master or bachelor)
- Optimal estimation of the boundary length from pixel images (bachelor)
- Miles formulae and central limit theorem for the digital surface area (master or bachelor)
- Variances of estimators for the integral of mean curvature (bachelor)
Publications
2009:
K.: On weighted parallel volumes, Beiträge zur Algebra und Geometrie 50, p. 495-519. Preprint Final version
2012:
K.; Last, G.; Molchanov, I.: On the convex hull of stable processes, Proceedings of the American Mathematical Society 140, p. 2527-2535. Preprint Final version
K.: The parallel volume at large distances, Geometriae Dedicata 160, p. 47-70. Preprint Final version
2013:
K.; Kiderlen, M.: Large parallel volumes of finite and compact sets in d-dimensional Euclidean space, Documenta Mathematica 18, p. 275-295. Preprint Final version
Ohser, J.; Sandau, K.; K.; Vecchio, I.; Moghiseh, A.: Improved estimation of fiber length from 3-dimensional images, Image Analysis & Stereology 32, p. 45-55. Final version
K.: The derivative of the parallel volume difference, Mathematische Nachrichten 286, p. 1668-1686. Final version
K.; Redenbach, C.: Analysis and modelling of the microstructure of ceramic foams, Conference Proceedings der FilTech, October 22nd-24th, 2013, Wiesbaden.
2014:
K.: A limitation of the estimation of intrinsic volumes via pixel configuration counts, Mathematika 60, p. 485-511. Preprint Final version
K.: Asymptotic order of the parallel volume difference in Minkowski spaces, Journal of Convex Analysis 21, p. 925-950. Preprint Final version
2015:
K.; Schlachter, A.; Redenbach, C.; Liebscher, A.: Segmentation, statistical analysis, and modelling of the wall system in ceramic foams, Materials Characterization 99, p. 38-46. Final version
2017:
K.: A central limit theorem for Lebesgue integrals of random fields, Statistics & Probability Letters 124, p. 5-12. Preprint Final version
2018:
K.; Spodarev, E.: A functional central limit theorem for integrals of stationary mixing random fields, Theory of Probability and its Applications 63, p. 135-150. Preprint Final version
2021:
K.; Shevchenko, G.; Spodarev, E.: Nonparametric estimation of the kernel function of symmetric stable moving average random functions, Annals of the Institute of Statistical Mathematics 73, p. 337-367. Preprint Final version
Accepted:
K.: Variances of surface area estimators based on pixel configuration counts, published online by Journal of Mathematical Imaging and Vision. Preprint Final version
Preprint:
K.; Meister, A.: Testing for linearity in boundary regression models with application to maximal life expectancies. Preprint
PhD thesis:
K.: Das Parallelvolumen und abgeleitete Funktionale, KIT, 2009. Final version
Habilitation thesis:
K.: Computational aspects and asymptotic theory of random sets and random fields, Ulm University, 2018. Final version