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February 4th, 2019, 02:53 PM  #1 
Senior Member Joined: Jan 2017 From: Toronto Posts: 209 Thanks: 3  Question about information entropy
Let X be a random variable with values a, b, c, d and let Y be a random variable with values p, q, r with the joint distribution shown in the following table Code: a b c d p  0.2  0.05  0.02  0.03 q  0.01  0.04  0.08  0.07 r  0.1  0.3  0.04  0.06 My Answer: $\displaystyle Ent(X, Y) =  \sum\limits^{b,c,d}_{n=a} ~\sum\limits^{q,r}_{m=p} ~ ( P(X=n, Y=m) \cdot \log(P(X=n, Y=m) ) $ Is my answer correct??? Last edited by skipjack; February 4th, 2019 at 03:24 PM. 
February 4th, 2019, 02:59 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,404 Thanks: 1306 
yes, though they probably want you to plug and chug the numbers. 
February 4th, 2019, 02:59 PM  #3 
Senior Member Joined: Jan 2017 From: Toronto Posts: 209 Thanks: 3 
Thanks. Master romsek.


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entropu, entropy, information, question 
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