Maximum Entropy and Spectral Estimation
نویسندگان
چکیده
The temperature of a gas corresponds to the average kinetic energy of the molecules in the gas. What can we say about the distribution of velocities in the gas at a given temperature? We know from physics that this distribution is the maximum entropy distribution under the temperature constraint, otherwise known as the Maxwell-Boltzmann distribution. The maximum entropy distribution corresponds to the macrostate (as indexed by the empirical distribution) that has the most microstates (the actual gas velocities). Implicit in the use of maximum entropy methods in physics is a sort of AEP that says that all microstates are equally probable.
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