[Procedures of local approximation for nonparametric estimation of unknown continuous functions from given...

There exists a lot of literature about the nonparametric estimation of unknown continuous functions from measured values. Many formulas of different shape were discussed. In this paper, we show that a great part of those formulas may be developed by using a uniformly mathematical principle which we name the local approximation by the least squares method. The knowledge of the principle enables one to develop new estimating formulas with special properties. The LOKONREG-, LOLINREG- and LOQUAREG-estimation are compared with each other by means of two biometric examples.