Dear Lazyweb. Anyone know what the maximum entropy distribution on an interval [a,b] with a given average in the interval is? Is there a simple form? Yes I could go reread the theory and head over to Maxima and try to figure it out, but figured maybe someone has seen the problem before. #statistics #probability #maximumentropy @coreyyanofsky

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If you assume that equality is "order" and thus a antonym for "disorder", then you may believe - Sen even calls it a "fact" - that the #TheilCoefficient is computed from an "#ArbitraryFormula".

However, there is no contradiction: The Theil index is a #redundancy, where the actual redundancy (ISO/IEC 2382-16) of a system is computed as the #MaximumEntropy of that system minus the actual entropy of that system. That is the answer to Sen's objection!

#GiniIndex #KolmIndex #WelfareEconomics

2/2

If you assume that equality is "order" and thus a antonym for "disorder", then you may believe - Sen even calls it a "fact" - that the #TheilCoefficient is computed from an "#ArbitraryFormula".

However, there is no contradiction: The Theil index is a #redundancy, where the actual redundancy (ISO/IEC 2382-16) of a system is computed as the #MaximumEntropy of that system minus the actual entropy of that system. That is the answer to Sen's objection!