Approximation of the probability densities of network functions by Pearson curves
Abstract
The probability densities of network functions are approximated by curves of Pearson's system of curves. At first, moments up to fourth order are calculated from the second order approximation of the network function. From this, skewness and excess of the distribution are determined and accordingly the suitable curve of the Pearson system is selected. This method is demonstrated with an active filter and it is shown, that the result agrees very well with that of the Monte Carlo analysis.
 Publication:

Archiv Elektronik und Uebertragungstechnik
 Pub Date:
 November 1977
 Bibcode:
 1977ArElU..31..457S
 Keywords:

 Approximation;
 Electric Networks;
 Network Synthesis;
 Pearson Distributions;
 Probability Density Functions;
 Curves (Geometry);
 Distribution Functions;
 Histograms;
 Monte Carlo Method;
 Skewness;
 Electronics and Electrical Engineering