f(alpha) exercise 2

Estimate the value of alpha at each of the indicated points of this tau(q) graph.

This tau(q) curve has parameters r = 0.5, p₁ = 0.05, p₂ = 0.2, p₃ = 0.3, and p₄ = 0.05.

Use the formula

alpha(q) = (log(p₁)*p₁^q + log(p₂)*p₂^q + log(p₃)p₃^q + log(p₄)*p₄^q)/ (log(r)*(p₁^q + p₂^q + p₃^q + p₄^q))

to compute alpha(q) for the pictured points q = -1, q = 1, and q = 3.

Here are the solutions.

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