Shannon's entropy revisited
arXiv:1504.01407
Abstract
I consider the effect of a finite sample size on the entropy of a sample of independent events. I propose formula for entropy which satisfies Shannon's axioms, and which reduces to Shannon's entropy when sample size is infinite. I discuss the physical meaning of the difference between two formulas, including some practical implications, such as maximum achievable channel utilization, and minimum achievable communication protocol overhead, for a given message size.
5 pages, 1 figure