Events at The University of Manchester
  • University home
  • Events
  • Home
  • Exhibitions
  • Conferences
  • Lectures and seminars
  • Performances
  • Events for prospective students
  • Sustainability events
  • Family events
  • All Events

Probability Seminar: Zixin Ye - Berry-Esseen type bounds for the stable central limit theorem via Stein’s method

Dates:30 April 2025
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
See travel and contact information
Add to your calendar

More information

  • Zixin's webpage

Other events

  • In category "Seminar"
  • In group "(Maths) Probability and statistics"
  • By Department of Mathematics

Zixin Ye (University of Manchester) will speak at the Probability seminar.

Title: Berry-Esseen type bounds for the stable central limit theorem via Stein’s method.

Abstract: The stable central limit theorem is a generalisation of the classical central limit theorem that relaxes the finite variance assumption. Quantifying the quality of the distributional approximation of the stable central limit theorem is a fundamental problem in probability, which has seen a number of contributions over years. In particular, there have been recent advances on this problem using Stein's method in which the stable central limit theorem is quantified with respect to Wasserstein-type distances. In this talk, we use Stein's method to derive optimal rates of convergence in the multivariate stable central limit theorem in terms of the convex distance, which is a natural multivariate generalisation of the Kolmogorov distance. Our bounds are derived by combining the recent advances on Stein's method for alpha-stable distributions together with a powerful smoothing technique.

Travel and Contact Information

Find event

Frank Adams 2
Alan Turing Building
Manchester

Contact event

Jose Pedraza Ramirez

jose.pedrazaramirez@manchester.ac.uk

Contact us

  • +44 (0) 161 306 6000

Find us

The University of Manchester
Oxford Rd
Manchester
M13 9PL
UK

Connect with the University

  • Facebook page for The University of Manchester
  • X (formerly Twitter) page for The University of Manchester
  • YouTube page for The University of Manchester
  • Instagram page for The University of Manchester
  • TikTok page for The University of Manchester
  • LinkedIn page for The University of Manchester

  • Privacy /
  • Copyright notice /
  • Accessibility /
  • Freedom of information /
  • Charitable status /
  • Royal Charter Number: RC000797
  • Close menu
  • Home
    • Featured events
    • Today's events
    • The Whitworth events
    • Manchester Museum events
    • Jodrell Bank Discovery Centre events
    • Martin Harris Centre events
    • The John Rylands Library events
    • Exhibitions
    • Conferences
    • Lectures and seminars
    • Performances
    • Events for prospective students
    • Sustainability events
    • Family events
    • All events