Perhaps the most well known measure building on Shannon’s entropy formula is theKullback – Leibler Divergence,which also give the “where”, and not only the “how much”. Information theory clashes with robust statistics It occurred to me that in robust statistics we usually downweight those ...
Entropy is a term which is used to define the randomness, or the chaos, in a system. In the case of statistical thermodynamics, information entropy is... Learn more about this topic: Entropy | Definition, Equation & Formula from Chapter 17/ Lesson 5 ...
We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological con... D Kastor,S Ray,J Traschen - 《Classical & Quantum Gravity》 被引量...
The extensivity property of entropy is clarified in the light of a critical examination of the entropy formula based on quantum statistics and the relevant thermodynamic requirement. The modern form of the Gibbs paradox, related to the discontinuous jump in entropy due to identity or non-identity ...
Although many problems in statistical physics can be formulated in terms of multiple approaches, the Bayesian inferential approach provides the most general and solid footing. In analogy with the maximum entropy inference approach to equilibrium thermodynamic states, the maximum caliber principle performs ...
Conditional entropiesWe investigate conditional entropy with respect to monotonic (invariant, decreasing, or increasing) measurable partitions. In particular, we obtain Brin-Katok's and Katok's entropy formula for conditional entropy with respect to invariant, decreasing and a large class of increasing ...
considering the source of heat from the point of microscopic,finds out dQ by using a statistical approach,then leads out the differential of entropy ds;and finally gets the integrations.Such a result totally meets the conservation of energy and agrees with what is dealt with in the text book....
codes estimation theory probability/ entropy dimension lossy-code information greedy algorithm coding alphabet maximal error aforementioned formula equivalent definition convex combination single sources probability measures Young estimation/ B6120B Codes B0240Z Other topics in statistics B0260 Optimisation ...
First, we discuss the empirical frequencies method for the computation of sample entropy. Second, we establish an analytical formula for the variance of the sample entropy. Finally, we use this formula to devise a hypothesis testing for equal values of entropy between time intervals. ...
While our results for N=1 largely reproduce the formulae already in the literature, we consider our analysis to be of interest also in that case since we can give a rigorous estimate of the errors at each stage. Motivated by our analysis of the symmetry-resolved Rényi entropies, and the...