• Upcoming Events
  • Awards
  • Distinguished Lecture
  • Latest Seminars and Events
  • Others
  • Seminars
  • Workshop and Conference
  • Past Events
  • Student Issue
Upcoming Events
Topic:Berry-Esseen bounds for Studentized U-statistics
Time:2:30 pm - 3:30 pm
Venue:Science Centre L4
Category:Latest Seminars and Events
Speaker:Professor Dennis Leung


Establishing limit theorems, such as Berry-Esseen (B-E) bounds, for Studentized statistics has always been more challenging than for standardized statistics, but the resulting theory is arguably more relevant to applications, as most statistics have to be “self-normalized” by a data-driven estimate of their own standard deviations in practice.
In this talk, we will discuss our recent uniform and non-uniform B-E bounds established for Studentized U-statistics of any given degree m, which cover Gosset’s t-statistic as a special case with m =1. Under the Stein-method paradigm, a central proof device is a refined exponential randomized concentration inequality originating in the work of Shao (2010). Moreover, we highlight our nonuniform bound, since its form is not a direct parallel of the typical non-uniform bound known for the standardized U-statistics; while counterexamples (Novak, 2005) have shown that the non-uniform bound form for standardized U-statistics is invalid for their Studentized counterparts, our result restores its validity by augmenting the bound with an additive factor that decays exponentially in the sample size n.

İstanbul escort bayan sivas escort samsun escortbayan sakarya escort Muğla escort Mersin escort Escort malatya Escort konya Kocaeli Escort Kayseri Escort izmir escort bayan hatay bayan escort antep Escort bayan eskişehir escort bayan erzurum escort bayan elazığ escort diyarbakır escort escort bayan Çanakkale Bursa Escort bayan Balıkesir escort aydın Escort Antalya Escort ankara bayan escort Adana Escort bayan