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A weak invariance principle for triangular arrays of independent random variables in some Besov spaces

  • Davide Giraudo
  • Sadillo Sharipov
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Abstract

We establish a Donsker-Prokhorov invariance principle in some Besov spaces. Specifically, we show that polygonal line processes associated with partial sum processes of a triangular array of row-wise independent random variables converge in distribution to Brownian motion, extending earlier results in the literature.

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Cite

BibTeXRIS
BibTeX
@misc{giraudo2026weak,
  title = {{A weak invariance principle for triangular arrays of independent random variables in some Besov spaces}},
  author = {Davide Giraudo and Sadillo Sharipov},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27711},
  eprint = {2609.27711},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05759493v1},
}
RIS
TY  - UNPB
TI  - A weak invariance principle for triangular arrays of independent random variables in some Besov spaces
AU  - Davide Giraudo
AU  - Sadillo Sharipov
PY  - 2026
DA  - 2026/09/22
PB  - HAL
DO  - 10.48550/arxiv.2609.27711
UR  - https://hal.science/hal-05759493v1
AB  - We establish a Donsker-Prokhorov invariance principle in some Besov spaces. Specifically, we show that polygonal line processes associated with partial sum processes of a triangular array of row-wise independent random variables converge in distribution to Brownian motion, extending earlier results in the literature.
ER  -