Nonlinear Nonparametric Statistics: Using Partial Moments (Paperback) (ISBN-13: 9781490523996)

Using partial moments, the authors introduce a new toolbox of statistical tools. The advantage of using partial moments is that it is nonparametric and does not require the knowledge of the underlying probability function nor does it require a "goodness of fit" analysis. Partial moments provide us with cumulative density functions, probability density functions, linear correlation and regression analysis, nonlinear correlation and regression analysis, ANOVA, and ARMA/ARCH models. One major advantage with this work is that the partial moment methodology fully replicates linear conditions or known functions. This trust of methodology is important for transition to chaotic unknowns and forecasting with autoregressive models.

Linearity should be a pleasant surprise to encounter in data, not a prerequisite. By eliminating all preconceptions and assumptions, we offer a powerful framework for statistical analysis. The simple nonparametric architecture based on partial moments yields important information to easily conduct multivariate analysis; generating descriptive and inferential statistics for a nonlinear world.

Author: David Nawrocki, Fred Viole
ISBN-10: 1490523995
ISBN-13: 9781490523996
Publisher: Createspace Independent Publishing Platform
Language: English
Published: 07/04/2013
Pages: 200
Format: Paperback
Weight: 1.23lbs
Size: 10.00h x 8.00w x 0.52d