This letter proposes a regression model for nonnegative signals. The proposed regression estimates the mean of Rayleigh distributed signals by a structure which includes a set of regressors and a link function. For the proposed model, we present: (i)~parameter estimation; (ii)~large data record results; and (iii)~a detection technique. In this letter, we present closed-form expressions for the score vector and Fisher information matrix. The proposed model is submitted to extensive Monte Carlo simulations and to measured data. The Monte Carlo simulations are used to evaluate the performance of maximum likelihood estimators. Also, an application is performed comparing the detection results of the proposed model with Gaussian-, Gamma-, and Weibull-based regression models in SAR images.
翻译:本信提议非负向信号的回归模型。提议的回归模型估计Rayleigh分布信号的平均值,其结构包括一组递减器和链接函数。对于拟议的模型,我们提供:(一) ~参数估计;(二)~大数据记录结果;(三)~ 检测技术。在本信中,我们为分数矢量和渔业信息矩阵提供了闭式表达式。拟议模型提交给广泛的蒙特卡洛模拟和测量数据。蒙特卡洛模拟用于评估最大概率估计器的性能。此外,还进行了一项应用,将拟议模型的检测结果与以高山、伽马和魏布尔为基础的合成孔图象回归模型进行比较。