Updated 19 Sep 2018
A MATLAB toolbox 'bsspdfest' implementing nonparametric probability function estimation using normalized B-splines was developed. The toolbox implements nonparametric probability function estimation procedures for one or more dimensions using a B-spline series for one-dimensional data and a tensor product B-spline series for multi-dimensional data. The toolbox takes advantage of the direct addressing of MATLAB arrays up to three dimensions and various vectorization approaches to speed up the computations. For data dimensions greater than three indirect addressing is used, converting multi-dimensional indices into linear array addressing, making this function slower.
The toolbox supports the computation of the PDF, CDF, and survivor functions for data of all dimensions as well as the inverse CDF (ICDF) and cumulative hazard functions for one dimensional data. The toolbox also supports the creation and use of gridded interpolants to provide very fast approximate evaluation of the B-spline series or tensor product series for the probability functions. Bounded domains are also now supported for all dimensions.
Version 2.3.1 of the bsspdfest toolbox has just been released! This version now uses reflection for active boundaries on bounded or semi-infinite domains and also supports bounded domains for data of all dimensions. A variety of performance improvements have also been made.
Kevin Gehringer (2021). bsspdfest (https://www.mathworks.com/matlabcentral/fileexchange/49121-bsspdfest), MATLAB Central File Exchange. Retrieved .
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