TY - JOUR
AU - Braganets, Oksana
AU - Iksanov, Alexander
PY - 2023/08/15
Y2 - 2024/10/12
TI - A Limit Theorem for a Nested Infinite Occupancy Scheme in Random Environment
JF - Austrian Journal of Statistics
JA - AJS
VL - 52
IS - SI
SE - Articles
DO - 10.17713/ajs.v52iSI.1749
UR - https://www.ajs.or.at/index.php/ajs/article/view/1749
SP - 1-12
AB - <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>
ER -