Heavy-tailed Rayleigh Distribution: Basic Properties and Their Applications
拖尾Rayleigh 分布: 基本性质及其应用

In order to solve the problems appearing in the heavy-tailed Rayleigh modeling of synthetic aperture radar (SAR)amplitude images,some basic properties and their applications are introduced for the heavy-tailed Rayleigh dis- tribution in this paper.Firstly,based on the negative-order moments,ratio method,logarithmic moment method and iterative logarithmic moment method are presented to estimate the parameters of the heavy-tailed Rayleigh distribution, and their performances are compared according to Monte Carlo simulations.Secondly,the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution,and an efficient three-step method is proposed using the interpolating polynomial fit.Lastly,real SAR amplitude images are modeled with the heavy-tailed Rayleigh distribution.Compared to the conventional Rayleigh distribution,the heavy-tailed Rayleigh distribution can accurately reflect the high peak and heavy tail of SAR amplitude images,so it is a useful tool for the modeling of SAR amplitude images.