Abstract
The article considers univariate density estimation from an individual numerical sequence. It is assumed that (i) the limiting relative frequencies of the numerical sequence are governed by an unknown density, and (ii) there is a known upper bound for the variation of the density an an increasing sequence of intervals. A simple estimation scheme is proposed, and its L/sub 1/ consistency is established when (i) and (ii) apply. In addition it is shown that there is no consistent estimation scheme for the set of individual sequences satisfying only condition (i).
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