Computer Science, asked by sumanth6375, 1 year ago

How to calculate entropy information theory fibonacci sequence?

Answers

Answered by varun2004
0
For any positive integer NN, consider the Fibonacci sequence FnFn of length NN. Using FnFn we can define a Fibonacci discrete probability distribution as follows:

pN(n)=Fn∑Nk=1Fk  ∀n=1,2,…,NpN(n)=Fn∑k=1NFk  ∀n=1,2,…,N

pN(n)=FN+1−n∑Nk=1Fk  ∀n=1,2,…,NpN(n)=FN+1−n∑k=1NFk  ∀n=1,2,…,N

With the increasing sequence probability distribution (first equation), and the second equation (associated with decreasing sequence) the question is what is the Entropy of those Distributions. Thank you in advance.

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