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PubMed · 2759411

Local approximation and its applications in statistics.

S Schmerling·J Peil
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Abstract

For the discrete and for the continuous case, the problem of evaluating the derivatives of a function f(x) in a given interval of x is solved by local approximation method. Examples of application of the resulting numerical procedures are quoted relating the estimation of smooth function and its derivative for measured values (of a growth process), internal regression, trend elimination of time series, Bernstein polynomial, and kernel estimation of a density function.

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S Schmerling, J Peil. 1989. Local approximation and its applications in statistics.. https://pubmed.ncbi.nlm.nih.gov/2759411/

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