Nonparametric estimation of probability density functions, both marginal and joint densities, is a very useful tool in statistics. The kernel method is popular and applicable to dependent data, ...

In some situations only the statistical properties of such objects are desired: the three-dimensional probability density function. This article demonstrates that under special symmetries this ...

Technical Terms Kernel Density Estimation (KDE): A nonparametric technique that estimates the probability density function by averaging over localised kernel functions centred at data points.