*FYI, the seminar starts today 2pm. *
Please join by Skype: https://meet.lync.com/uob/sl9885/6D2FF6CR
---------- Forwarded message ---------
From: Song Liu <[log in to unmask]>
Date: Fri, Mar 20, 2020 at 11:31 AM
Subject: Online Seminar Next Friday by Prof. Oliver Johnson
To: <[log in to unmask]>
Dear all,
I am glad to announce that our next stats-seminar will be *online*, given
by our own Prof. Oliver Johnson on
*Title*: A proof of the Shepp--Olkin entropy monotonicity conjecture
*Time*: 2pm-2.45pm, Friday 27th March,
*Joining us by Skype:* https://meet.lync.com/uob/sl9885/6D2FF6CR
*Abstract*: Consider tossing a collection of coins, each fair or biased
towards heads, and take the distribution of the total number of heads that
result. It is natural to suppose that this distribution should be `more
random' when each coin is fairer. In this paper, we prove a 40 year old
conjecture of Shepp and Olkin, by showing that the Shannon entropy is
monotonically increasing in this case, using a construction inspired by
optimal transport theory. We discuss whether this result can be generalized
to $q$-R\'{e}nyi and $q$-Tsallis entropies, for a range of values of $q$.
*News*: https://www.bristol.ac.uk/maths/news/2019/shepp-olkin-proof.html
Tips: How to join a Skype for Business meeting
<https://support.office.com/en-gb/article/join-a-skype-for-business-meeting-3862be6d-758a-4064-a016-67c0febf3cd5#OS_Type=Windows>
Best Wishes
Song Liu
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