A qualitative analysis of the resistive grid kernel estimator

Poston, W.L., et al., A qualitative analysis of the resistive grid kernel estimator, Pattern Recognition Letters 15 (1993) 219-225. The ability to estimate a probability density function from random data has applications in discriminant analysis and pattern recognition problems. A resistive grid kernel estimator (RGKE) is described which is suitable for hardware implementation. The one-dimensional linear RGKE is compared to a kernel estimate using Gaussian kernels, and simulations are presented using both continuous and quantized data. The nonlinear form of the RGKE is shown to have desirable properties, such as the ability to detect discontinuities in the density function.