How to calculate entropy information theory fibonacci sequence?
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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.
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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