K-distribution

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

Peakedness and generalized entropy for continuous density functions

Abstract: The theory of majorisation between real vectors with equal sum of components, originated in the beginning of the XXth century, enables a partial ordering between discrete probability distributions to be defined It corresponds to comparing, via fuzzy set inclusion, possibility distributions that are the most specific transforms of the original probability distributions This partial ordering compares discrete probability distributions in terms of relative peakedness around their mode, and entropy is monotonic with respect to this partial ordering In fact, all known variants of entropy share this monotonicity In this paper, this question is studied in the case of unimodal continuous probability densities on the real line, for which a possibility transform around the mode exists It corresponds to extracting the family of most precise prediction intervals Comparing such prediction intervals for two densities yields a variant of relative peakedness in the sense of Birnbaum We show that a generalized form of continuous entropy is monotonic with respect to this form of relative peakedness of densities

A New Time-varying Fractal Sea Model and Its Statistical Characteristics of Electromagnetic Scattering

Abstract: A fractal sea model based on non-fully developed full-range sea spectrum(NDFFM),which is believed to be more applicable to the real sea surface,is presented.The two-scale method is used to calculate the backscattering cross-section of the NDFFM sea surface.The distribution of the time-varying scattering amplitude is studied,and the numerical results show that the distribution satisfies K-distribution with higher significant-slope(SS) and satisfies Rayleigh distribution with lower SS.Finally,the results are compared with those of the conventional fractal model and the real radar data,which prove the accuracy and efficiency of this model.

Tables of common probability distributions

Abstract: : Tables that are available for certain probability distributions are limited in percentage values or parameter values. The report makes available additional such values for several probability distributions that occur in common practices.