R. Jones wrote:

>Can anyone refer me to a good book on the foundations of statistics?
>I want to know of the limitations, assumptions, and philosophy
>behind statistics.

"Probability, Statistics, and Truth" by Richard von Mises is available 
in paperback [ISBN 0-486-24214-5] and might be just what you seek.

>A discussion of how the quantum world may have
>different laws of statistics might be a plus.

The statistical portion of statistical mechanics is fairly simple, and 
no different conceptually from other statistics.


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