Local approximation and its applications in statistics.
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.
Schmerling
S
S
Department of Mathematics, Martin Luther University, Halle, Wittenberg.
Peil
J
J
D008433:Mathematics; D013223:Statistics as Topic