Kernel Estimation in Wicksell's Corpuscle Problem
研究了从随机截面的轮廓半径估计介质中球体半径概率密度函数的问题,提出了一种新的核密度估计器并讨论了其性质。
We consider the estimation of the probability density function of the radii of spheres in a medium, given the radii of their profiles in a random cross-section. This problem is known as Wicksell's corpuscle problem. We present a new estimator related to the classical kernel density estimator and discuss its properties. A comparison is made with other estimators related to the kernel estimator.