business cost is acknowledged as one of the priorities in smes research. in thisstudy, the business cost of smes in shanghai was primarily measured using factor-entropy analysis method. the purpose of this study is to effectively resolve the issueof simplification and assignment evaluation index system on business costs of smesin shanghai. however, this study uses factor analysis to interpret t...

We introduce a new family of continuous models called the beta odd log-logistic generalized family of distributions. We study some of its mathematical properties. Its density function can be symmetrical, left-skewed, right-skewed, reversed-J, unimodal and bimodal shaped, and has constant, increasing, decreasing, upside-down bathtub and J-shaped hazard rates. Five special models are discussed. W...

Differential entropy is the entropy of a continuous random variable. It is related to the shortest description length and thus similar to the entropy of a discrete random variable. A basic introduction can be found in the book of Cover and Thomas [1]. In this paper, we are interested in the concept of shortest description length. Indeed, in a recent paper [2], we have investigated the case of s...

It was recently shown that estimating the Shannon entropy H(p) of a discrete k-symbol distribution p requires Θ(k/ log k) samples, a number that grows near-linearly in the support size. In many applications H(p) can be replaced by the more general Rényi entropy of order α, Hα(p). We determine the number of samples needed to estimate Hα(p) for all α, showing that α < 1 requires a super-linear, r...

Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In view of this, we propose a new measure for the informational entropy of a quantum state that includes information in the pure states and the thermodynamic entr...