Estimates of derivatives of random functions. II
[For part I see the second author, ibid. 102, 244-250 (1984; Zbl 0542.60045)] The results of part I are generalized to the case of functions of several variables. Let \(u=s+n\), where s is the useful signal and n is noise. The problem is to estimate the derivatives of s from the observation of u. This problem is of practical importance (see section 2 in part I). Here the formulas for practical calculations are given and the error estimates are derived.
derivatives of functions of several variables contaminated by noise
scientific article; zbMATH DE number 3944960
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