Balanced acceptance sampling is a relatively new sampling scheme that has potential to improve the efficiency of spatial studies. There are two drawbacks of the design, it can have low entropy and some of the unbiased estimates can not be calculated. In this paper, such shortcomings have been addressed by integrating simple random sampling with balanced acceptance sampling. In a simulation stud...

The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.

In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in torus, choice of moduli space allows the typical operator TFD provide degrees freedom segment and their complement. procedure, it not necessary make an analytic continuation from Rényi von Neumann calculated directly expected value operator. also propose m...

The entropy generation during hydromagnetic boundary layer flow of a viscous incompressible electrically conducting fluid due to radial stretching sheet with Newtonian heating in the presence of a transverse magnetic field and the thermal radiation has been analyzed. The governing equations are then solved numerically by using the fourth order Runge-Kutta method with shooting technique. The eff...

As additivity is a characteristic property of the classical information measure, Shannon entropy, pseudo-additivity of the form x+qy = x+y+(1−q)xy is a characteristic property of Tsallis entropy. Rényi in [1] generalized Shannon entropy by means of Kolmogorov-Nagumo averages, by imposing additivity as a constraint. In this paper we show that there exists no generalization for Tsallis entropy, b...

There are numerous characterizations of Shannon entropy and Tsallis entropy as measures of information obeying certain properties. Using work by Faddeev and Furuichi, we derive a very simple characterization. Instead of focusing on the entropy of a probability measure on a finite set, this characterization focuses on the “information loss”, or change in entropy, associated with a measure-preser...

This memo contains proofs that the Shannon entropy is the limiting case of both the Renyi entropy and the Tsallis entropy, or information. These results are also confirmed experimentally. We conclude with some general observations on the utility of entropy measures. A brief summary of the origins of the concept of physical entropy are provided in an appendix.