the estimate of entropy (sample entropy), has been introduced by vasicek (1976), for the first time. in this paper, we provide an estimate of entropy of order statistics, that is the extention of the entropy estimate. then we present an application of the entropy estimate of order statistics as a test statistic for symmetry of distribution versus skewness. the proposed test has been compared wi...

Properties of scalar quantization with rth power distortion and constrained Rényi entropy of order α ∈ (0, 1) are investigated. For an asymptotically (high-rate) optimal sequence of quantizers, the contribution to the Rényi entropy due to source values in a fixed interval is identified in terms of the “entropy density” of the quantizer sequence. This extends results related to the well-known po...

A stochastic process which is a noisy observation of a Markov process through a memoryless channel is called a hidden Markov process (HMP). Finding the entropy rate of HMP is motivated by applications in both stochastic signal processing and information theory. The first expression for the entropy rate of HMP is found in 1957 [1]. This expression is defined through a measure described by an int...

We prove the existence of an open and dense subset of maps f 2 Diff 1 ! (S 2) which have positive topological entropy. It follows that these maps have innnitely many hyperbolic periodic points and an exponential growth rate of hyperbolic periodic points. The proof is an application of Pixton's theorem. Topological entropy characterizes the total exponential orbit complexity of a map with a sing...

Let X be a discrete random variable with support S and f : S → S′ be a bijection. Then it is wellknown that the entropy of X is the same as the entropy of f(X). This entropy preservation property has been well-utilized to establish non-trivial properties of discrete stochastic processes, e.g. queuing process [1]. Entropy as well as entropy preservation is well-defined only in the context of pur...

 In this paper we study the relative entropy rate between a homogeneous Markov chain and a hidden Markov chain defined by observing the output of a discrete stochastic channel whose input is the finite state space homogeneous stationary Markov chain. For this purpose, we obtain the relative entropy between two finite subsequences of above mentioned chains with the help of the definition of...

OBJECTIVE To identify the entropy levels that would correspond to bispectral index (BIS) levels in general anesthesia (GA) induction in patients who will undergo elective lumbar disc surgery (LDS). METHODS Thirty cases who underwent LDS under GA were included in our study after obtaining patient consent and approval of the Ethics Committee of Afyon Kocatepe University Medical School, Afyonkar...