@article{Braganets_Iksanov_2023, title={A Limit Theorem for a Nested Infinite Occupancy Scheme in Random Environment}, volume={52}, url={https://www.ajs.or.at/index.php/ajs/article/view/1749}, DOI={10.17713/ajs.v52iSI.1749}, abstractNote={<p>We investigate an infinite balls-in-boxes scheme, in which boxes are arranged in nested hierarchy and random probabilities of boxes are defined in terms of iterated fragmentation of a unit mass. Gnedin and Iksanov (2020) obtained a multivariate functional central limit theorem with centering for the cumulative occupancy counts as the number of balls becomes large. We prove a counterpart of their result, in which centering is not needed and the limit processes are not Gaussian. An application is given to the scheme generated by a residual allocation model.</p>}, number={SI}, journal={Austrian Journal of Statistics}, author={Braganets, Oksana and Iksanov, Alexander}, year={2023}, month={Aug.}, pages={1–12} }