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Power equation

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Diogo Alves

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Apr 26, 2012, 11:50:50 AM4/26/12
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In the following equation:

c = sum_i( ( p(i)^a ) * b(i) ) / sum_i( p(i)^a )

"c", "p(i)" and "b(i)" are known.
How do I calculate "a"?

Herman Rubin

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Apr 27, 2012, 11:23:09 AM4/27/12
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I suggest you rewrite the equation as

c * sum_i( p(i)^a ) - sum_i( ( p(i)^a ) * b(i) = 0

and use Newton's method or other such to solve it.

For there to be a solution, c has to be in the interval
spanned by the b(i).

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This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hru...@stat.purdue.edu Phone: (765)494-6054 FAX: (765)494-0558
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