*UNIVERSITA' DI SALERNO*
*Dipartimento di Matematica*
AVVISO DI SEMINARIO
Il Prof. *Nikolai Leonenko *(*Cardiff University, UK*) terrà, *giovedì 20 giugno, alle ore 12:00*, presso la Sala Riunioni dell'Edificio F2 (piano 1, stanza 36), un seminario dal titolo:
*Varentropy Estimation via Nearest Neighbour Graphs*
Gli interessati sono cordialmente invitati a partecipare,
*Antonio Di Crescenzo*
*Barbara Martinucci*
*Alessandra Meoli*
*Serena Spina*
Link su Teams: https://teams.microsoft.com/l/meetup-join/19%3ameeting_NzM0Yjc4OGItZDAxNS00N... ID riunione: 332 326 211 910 Passcode: M5x2Be
*Abstract*
The Varentropy is a measure of the variability of the information content of random vector and it is invariant under affine transformations. We introduce the statistical estimate of varentropy of random vector based on the nearest neighbour graphs (distances). The asymptotic unbiasedness and consistency of the estimates are established. The talk is based on joint results with Yu Sun (LSE, UK) and Emanuele Taufer (University of Trento, Italy).
Reference Leonenko, N., Sun, Y., and Taufer, E. (2024). Varentropy estimation via nearest neighbour graphs. ArXiv, 2402.09374, p.1-51