We explore negative dependence and stochastic orderings, showing that if an integer-valued random variable W satisfies a certain negative dependence assumption, then W is smaller (in the convex sense) than a Poisson variable of equal mean. Such W include those which may be written as a sum of totally negatively dependent indicators. This is generalised to other stochastic orderings. Application...

In this paper we discuss the application of some recent results obtained from studying the asymptotics and the entropy of flows in large queueing systems to the analysis of entropy variations of traffic processes in ATM networks. We argue that certain important queueing nodes/networks (e.g. ·/M/1, ·/GI/∞ nodes and Jackson networks) are entropy increasing in nature, in that the entropy of the ar...

Shannon’s definition of entropy is critically examined and a new definition of classical entropy based on the exponential behavior of information-gain is proposed along with its justification. The concept is then extended to gray tone image for defining its global, local and conditional entropy. Based on these definitions four algorithms for object extraction are developed and implemented. One ...

1. Shipley et al. (2006) proposed a maximum entropy approach to studying how species relative abundance is mediated by their traits, “community assembly via trait selection” (CATS). 2. In this paper we build on recent equivalences between the maximum entropy formalism and Poisson regression to show that CATS is equivalent to a generalised linear model for abundance, with species traits as predi...

We propose a new asymmetric discrete model by combining the uniform and Poisson–Ailamujia distributions using binomial decay transformation method. The distribution, named Poisson–Ailamujia, due to its flexibility is good alternative well-known Poisson geometric for real data applications in public health, biology, sociology, medicine, agriculture. Its main statistical properties are studied, i...

GLOBAL ENTROPY SOLUTIONS IN L∞ TO THE EULER EQUATIONS AND EULER-POISSON EQUATIONS FOR ISOTHERMAL FLUIDS WITH SPHERICAL SYMMETRY ∗ GUI-QIANG CHEN† AND TIAN-HONG LI† Abstract. We prove the existence of global entropy solutions in L∞ to the multidimensional Euler equations and Euler-Poisson equations for compressible isothermal fluids with spherically symmetric initial data that allows vacuum and ...

The sparsity and compressibility of finite-dimensional signals are of great interest in fields such as compressed sensing. The notion of compressibility is also extended to infinite sequences of i.i.d. or ergodic random variables based on the observed error in their nonlinear k-term approximation. In this work, we use the entropy measure to study the compressibility of continuous-domain innovat...

We study the quantization problem for certain types of jump processes. The probabilities for the number of jumps are assumed to be bounded by Poisson weights. Otherwise, jump positions and increments can be rather generally distributed and correlated. We show in particular that in many cases entropy coding error and quantization error have distinct rates. Finally, we investigate the quantizatio...