K-distribution

About: K-distribution is a research topic. Over the lifetime, 1281 publications have been published within this topic receiving 51774 citations.

Some uses of lagrange’s formula in the distribution theory with reference to queuing problems

Abstract: LAGRANGE's formula has been used to derive certain expression which occur frequently in the theory of queues. The method is perhaps the simplest one to prove that these expressions are probability distributions. In particular the generalized forms of POISSON and negative binomail distributions are obtained. Expressions for certain summaation series have also been derived. The use of the formula enables us to relax some conditions on the parameters of these distributions.

A Classifier for Radar Clutter Using Alpha Stable Model

Abstract: A valid classifier for amplitude statistic models of radar clutter is proposed, in which the clutter is modeled as the Alpha stable distribution and the clutter series whose statistic distributions subject to five traditional models such as Rayleigh, Weibull, Log-norm, Rice and K distribution is recognized based on the exponents of Alpha stable distribution Simulation results show that the approach has high recognition precision and less computation burden

Statistics of Reflected Speckle Intensities Arising from Localized States Inside the GAP of Disordered Photonic Crystals

Abstract: The field distributions of reflected speckles arising from localized states inside the gap of disordered photonic crystals in two dimensions were studied through numerical simulations using the multiple-scattering method. By separating the field into the coherent and diffuse parts, we have studied the statistics of field and phase distributions for both diffuse and total fields as well as their speckle contrasts as a function of the amount of disorder. For the non-Bragg angles, it is found that the intensity distribution crosses over from non-Rayleigh to Rayleigh statistics when disorder is increased. This is similar to the crossover from ballistic to diffusive wave propagation for the transmitted waves and can be described by the random-phasor-sum model (RPS). For the Bragg angle, only non-Rayleigh statistics were found. Both the RPS and K distribution have limited range of validity in this case.

A Mixture of Generalized Tukey’s Distributions

Abstract: Mixtures of symmetric distributions, in particular normal mixtures as a tool in statistical modeling, have been widely studied. In recent years, mixtures of asymmetric distributions have emerged as a top contender for analyzing statistical data. Tukey’s family of generalized distributions depend on the parameters, namely, , which controls the skewness. This paper presents the probability density function (pdf) associated with a mixture of Tukey’s family of generalized distributions. The mixture of this class of skewed distributions is a generalization of Tukey’s family of distributions. In this paper, we calculate a closed form expression for the density and distribution of the mixture of two Tukey’s families of generalized distributions, which allows us to easily compute probabilities, moments, and related measures. This class of distributions contains the mixture of Log-symmetric distributions as a special case.