We propose a nonparametric predictor and a supervised classification based on the regression function estimate of a spatial real variable using k-nearest neighbors method (k-NN). Under some assumptions, we establish almost complete or sure convergence of the proposed estimates which incorporate a spatial proximity between observations. Numerical results on simulated and real fish data illustrate the behavior of the given predictor and classification method.

翻译：我们提出一个非参数预测器,并根据使用 k 近邻方法( k-NN ) 对空间实际变量的回归函数估计进行监管分类。 根据一些假设,我们几乎完全或肯定地将拟议估计数统一起来,其中纳入了观测之间的空间距离。 模拟和实际鱼类数据的数字结果说明了特定预测器和分类方法的行为。