Orthogonal Series Distribution Function Estimation, with Applications
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1983 · Volume 45 · Issue 1
DOI: 10.1111/j.2517-6161.1983.tb01234.x
Abstract
Motivated by applications to the non-parametric estimation of mixture proportions, we develop techniques for multivariate orthogonal series estimation of distribution functions. We approximate the empiric distribution function, rather than the true distribution function. This enables us to use trigonometric series methods to estimate distribution functions with unbounded support.
Keywords
distribution and density functions, fourier series, maximum likelihood, mixture proportions, non-parametric estimation, orthogonal series
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