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UID:20251211T100344EST-1884gjGzfs@132.216.98.100
DTSTAMP:20251211T150344Z
DESCRIPTION:\n	Title: Unfolding Generalized Shannon’s Entropy\n\n	 \n\n\nAbst
 ract:\n\nShannon’s entropy is a cornerstone of information theory\, quanti
 fying uncertainty within a probability distribution. However\, the classic
 al definition may fail for distributions with heavy tails or infinite alph
 abets\, leaving gaps in its theoretical foundation. This talk introduces a
  framework called Generalized Shannon’s Entropy (GSE)\, which extends the 
 original concept to ensure well-definedness and robustness under broader c
 onditions.\n\nThe talk begins by revisiting Shannon’s entropy and its limi
 tations\, followed by the construction of the GSE through escort distribut
 ions that adjust tail behavior. The asymptotic properties of plug-in estim
 ators for GSE are discussed\, including a central limit theorem that requi
 res minimal assumptions. The talk then connects this generalization to mut
 ual information\, leading to tests of independence on a contingency table 
 with asymptotic normality.\n\nThe second half explores the role of GSE in 
 characterizing discrete probability distributions. Several recent results 
 are reviewed\, showing how finite or countable sets of entropic quantities
  can uniquely determine a distribution up to permutation. The talk conclud
 es with open directions toward developing goodness-of-fit tests for discre
 te and disparate sample spaces using finite-order GSE characterization.\n
 \nSpeaker\n\nDr. Jialin Zhang is an Assistant Professor of Statistics at M
 ississippi State University. He received his Ph.D. in Statistics from the 
 University of North Carolina at Charlotte in 2019 before joining Mississip
 pi State University. His research focuses on nonparametric estimation of i
 nformation-theoretic quantities and entropic approaches to statistical inf
 erence.\n\nhttps://mcgill.zoom.us/j/83026954715\n\nMeeting ID: 830 2695 47
 15\n\nPasscode: None\n
DTSTART:20251205T203000Z
DTEND:20251205T213000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Jialin Zhang (Mississippi State University)
URL:/mathstat/channels/event/jialin-zhang-mississippi-
 state-university-369492
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