
Computer Science Computer Science Forum 
 LinkBack  Thread Tools  Display Modes 
March 27th, 2013, 12:04 AM  #1  
Newbie Joined: Jan 2012 Posts: 12 Thanks: 0  Entropy H is continuous in p(i)
Here's something that I came across in "A Mathematical theory of communication" By Shannon that I couldn't get Quote:
What does he mean by H should be continuous in p(i) [where p(i) indicates probability of 'i' th event]. I couldn't get it.  
March 27th, 2013, 06:16 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Entropy H is continuous in p(i)
If p(i) changes by a very small amount, H will change by a small amount. You can use the normal epsilondelta definition here if you prefer.


Tags 
continuous, entropy 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How to compute entropy?  acepsut  Economics  0  June 28th, 2013 05:28 AM 
Internet Browser's Entropy.  ZardoZ  Computer Science  0  April 6th, 2013 06:48 AM 
The Entropy of Information Source  iVenky  Computer Science  5  March 29th, 2013 10:35 AM 
calculating the entropy  safyras  Algebra  0  November 6th, 2011 01:50 AM 
Entropy (information theory)  trid2  Advanced Statistics  1  March 1st, 2009 07:24 PM 