arXiv Open Access 2026

Normal approximation for partial sums: general convex costs

Jérôme Dedecker Florence Merlevède Emmanuel Rio

Lihat Sumber

Abstrak

We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and identically distributed square integrable and centered random variables and the normal distribution with mean zero and the same variance. The proof relies on controlling the transport cost by an appropriate ideal distance, combined with an adaptation of Lindeberg's method. The numerical constants and the asymptotic constants are explicit.

Topik & Kata Kunci

math.PR

Penulis (3)

Jérôme Dedecker

Florence Merlevède

Emmanuel Rio

Format Sitasi

APA MLA BibTeX

Dedecker, J., Merlevède, F., Rio, E. (2026). Normal approximation for partial sums: general convex costs. https://arxiv.org/abs/2603.01909

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓