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直方图密度函数在密度函数估计中存在不连续性问题，即密度值在相邻区间边界处发生突变。为获得随机变量的连续密度函数估计，核密度估计(Kernel Density Estimation, KDE)提供了有效的解决方案。 核函数 核函数本质上是密度估计中用于平滑处理的概率密度函数 ...

Density estimation is a fundamental component in statistical analysis, aiming to infer the probability distribution of a random variable from a finite sample without imposing restrictive parametric ...

Nonparametric methods provide a flexible framework for estimating the probability density function of random variables without imposing a strict parametric model. By relying directly on observed data, ...

We introduce a consistent estimator for the homology (an algebraic structure representing connected components and cycles) of level sets of both density and regression functions. Our method is based ...

Several studies have predicted that not all geomagnetic reversals have been discovered, but it was unknown in which periods they might be hidden. Researchers led by the National Institute of Polar ...