Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...
The Rocky Mountain Journal of Mathematics, Vol. 17, No. 2 (SPRING 1987), pp. 371-384 (14 pages) Let Cn(x; β\q) be the continuous q-ultra-spherical polynomial and Dn(x; β\q) be the q-ultraspherical ...
This example illustrates some properties of splines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with ...
A Bernstein prior is a probability measure on the space of all the distribution functions on [0, 1]. Under very general assumptions, it selects absolutely continuous distribution functions, whose ...
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