Bartosz Kołodziejek

Assistant Professor (dr hab.)
Faculty of Mathematics and Information Science, Warsaw University of Technology

Address:
Faculty of Mathematics and Information Science
Warsaw University of Technology
Koszykowa 75
00-662 Warsaw

E-mail: ,

Research

Preprints

• (with J. Wesołowski and X. Zeng) Discrete parametric graphical models with Dirichlet type priors, arXiv.
• (with A. P. Chojecki and P. Morgen) Learning permutation symmetries of a Gaussian vector with gips in R, arXiv, CRAN R package, gips: pkgdown.
• (with M. Bogdan, X. Dupuis, P. Graczyk, T. Skalski, P. Tardivel and M. Wilczyński) Pattern recovery by SLOPE, arXiv.

Publications

1. (with M. Łazęcka and J. Mielniczuk) Analysis of Conditional Randomisation and Permutation schemes with application to conditional independence testing, TEST, 32 (2023), 1459 - 1478, pdf, supplement, online.
2. (with P. Graczyk, T. Skalski and M. Wilczyński) Pattern recovery and signal denoising by SLOPE when the design matrix is orthogonal, Probability and Mathematical Statistics, 42(2) (2022), str. 283 – 302, pdf, online.
3. (with P. Graczyk and H. Ishi) Graphical Gaussian models associated to a homogeneous graph with permutation symmetries, Physical Sciences Forum, 5(1), 20 (2022), 1 - 9, pdf, online.
4. (with K. Burdzy and T. Tadić) Stochastic fixed point equation and local dependence measure, Annals of Applied Probability, 32(4) (2022), 2811 – 2840, pdf, online.
5. (with P. Graczyk and H. Ishi and H. Massam) Model selection in the space of Gaussian models invariant by symmetry, Annals of Statistics, 50 (3) (2022), 1747 – 1774, pdf, supplement, online.
6. (with K. Szpojankowski) A phase transition for tails of the free multiplicative convolution powers, Advances in Mathematics, 403 (2022), 108398: 1 - 50, pdf, online.
7. (with E. Damek) Stochastic recursions: Between Kesten's and Grincevicius-Grey's assumptions, Stochastic Processes and their Applications, 130(3) (2020), 1792 - 1819, pdf, online.
8. (with A. Piliszek) Independence characterization for Wishart and Kummer random matrices, REVSTAT-Statistical Journal, 18(3) (2020), 357 - 373, pdf, online.
9. (with G. Letac and M. Piccioni) Location and scale behaviour of the quantiles of a natural exponential family, ESAIM-Probability and Statistics, 24 (2020), 244 - 251, pdf, online.
10. (with K. Burdzy and T. Tadić) Inverse Exponential Decay: Stochastic Fixed Point Equation and ARMA Models, Bernoulli, 25(4B) (2019), 3939 - 3977, pdf, online.
11. (with H. Ishi) Characterization of the Riesz Exponential Family on homogeneous cones, Colloquium Mathematicum, 158(1) (2019), 45 - 57, pdf, online.
12. (with P. Graczyk and H. Ishi) Wishart laws and variance function on homogeneous cones, Probability and Mathematical Statistics, 39(2) (2019), 337 - 360, pdf, online.
13. A Matsumoto-Yor characterization for Kummer and Wishart random matrices, Journal of Mathematical Analysis and Applications, 460(2) (2018), 976 - 986, pdf, online.
14. On perpetuities with light tails, ADVANCES IN APPLIED PROBABILITY, 50(4) (2018), 1119 - 1154, pdf, online.
15. (with E. Damek) A renewal theorem and supremum of a perturbed random walk, Electronic Communications in Probability, 23 (2018), 1 - 13, pdf, online.
16. Logarithmic tails of sums of products of positive random variables bounded by one, Annals of Applied Probability, 27(2) (2017), 1171 - 1189, pdf, online.
17. The left tail of renewal measure, STATISTICS & PROBABILITY LETTERS, 129 (2017), 306 - 310, pdf, online.
18. The Matsumoto-Yor Property and Its Converse on Symmetric Cones, Journal of Theoretical Probability, 30(2) (2017), 624 - 638, pdf, online.
19. Characterization of beta distribution on symmetric cones, Journal of Multivariate Analysis, 143 (2016), str. 414 - 423, pdf, online.
20. The generalized fundamental equation of information on symmetric cones, Aequationes Mathematicae, 90(5) (2016), 917 - 933, pdf, online.
21. The Lukacs-Olkin-Rubin Theorem on Symmetric Cones Without Invariance of the "Quotient", Journal of Theoretical Probability, 29(2) (2016), 550 - 568, pdf, online.
22. Multiplicative Cauchy functional equation on symmetric cones, Aequationes Mathematicae, 89(4) (2015), 1075 - 1094, pdf, online.
23. The Lukacs-Olkin-Rubin theorem on symmetric cones through Gleason's theorem, Studia Mathematica, 217(1) (2013), 1 - 17, pdf, online.