Upper bounds for the error in some interpolation and extrapolation designs

Details Upper bounds for the error in some interpolation and extrapolation designs Upper bounds for the error in some interpolation and extrapolation designs

2011-01-23

arxiv.org/abs/1101.4352v1

Mathematics

Statistics Theory

Scientific paper

This paper deals with probabilistic upper bounds for the error in functional estimation defined on some interpolation and extrapolation designs, when the function to estimate is supposed to be analytic. The error pertaining to the estimate may depend on various factors: the frequency of observations on the knots, the position and number of the knots, and also on the error committed when approximating the function through its Taylor expansion. When the number of observations is fixed, then all these parameters are determined by the choice of the design and by the choice estimator of the unknown function. The scope of the paper is therefore to determine a rule for the minimal number of observation required to achieve an upper bound of the error on the estimate with a given maximal probability.

Affiliated with

Also associated with

No associations

Rating

Upper bounds for the error in some interpolation and extrapolation designs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Upper bounds for the error in some interpolation and extrapolation designs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Upper bounds for the error in some interpolation and extrapolation designs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-587034