The maximum-entroy distribution is derived for the Wienr-Shannon entropy for absolutely continuous distributions when the mean value of a function in a suitable class is prescribed. Three cases are studied, according as to whether the distribution has support in a closed interval, on the non-negative half line or on the real line.
The Boltzmann Distribution through a Maximum Entropy Principle
SEMPI, Carlo
1984-01-01
Abstract
The maximum-entroy distribution is derived for the Wienr-Shannon entropy for absolutely continuous distributions when the mean value of a function in a suitable class is prescribed. Three cases are studied, according as to whether the distribution has support in a closed interval, on the non-negative half line or on the real line.File in questo prodotto:
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