Strong Uniform Consistency of the Frequency Polygon Density Estimator for Stable Non-Anticipative Stochastic Processes

Abstract

The author establishes a new mathematical expression for the Frequency Polygon. He uses it to prove the strong uniform consistency of the Frequency Polygon marginal density estimator for non-anticipative stationary stochastic processes which are stable in the sense of Wu. He gives examples of several times series models for which this result is relevant.