Application Fields of the Empirical Regression - A Case Study

✍ Scribed by Dr. J. Peil; Dr. S. Schmerling

• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 539 KB
• Volume: 27
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710270306

✦ Synopsis

Empirical regression is defined as conditional expected value based on an estimation of a twodimemional density. It is a modelfree mathematical means for a first evaluation of measured data of an unknown stochastical relation between two quantities. The numerical procedures may be. applied for calculation of the mean course of a n unknown relation hidden in the measured data. Disregarding the etatistical background a n other aspect of application is the analyzing of time series, especially smoothing of time series and modelfree recording of the trend component in nonstationary time series. The calculated regremion curve provides an objective basis for comparing of different measured courses ae well as for a further evaluation, e. g. in respect of a suitable choice of a n analytical expression. The possibility of interpolation and the smoothing properties of empirical regression give eeeential advantages for internal regression as one step in the p r o m s of model construction.