assetsTest {fAssets}R Documentation

Testing Normality of Multivariate Asset Sets

Description

Tests if the returns of a set of assets are normally distributed.

Usage

assetsTest(x, method = c("shapiro", "energy"), Replicates = 100, 
    title = NULL, description = NULL)

Arguments

x any rectangular time series object which can be converted by the function as.matrix() into a matrix object, e.g. like an object of class timeSeries, data.frame, or mts.
method a character string, which allows to select the test. If method="shapiro" then Shapiro's multivariate Normality test will be applied as implemented in R's contributed package mvnormtest. If method="energy" then the E-statistic (energy) for testing multivariate Normality will be used as proposed and implemented by Szekely and Rizzo [2005] using parametric bootstrap.
Replicates an integer value, the number of bootstrap replicates, by default 100. This value is only used if method="energy".
title a character string, assigning a title to an "fASSETS" object.
description a character string, assigning a brief description to the returned object.

Value

returns an object of class fHTEST.

Author(s)

Diethelm Wuertz for this Rmetrics port.

References

Rizzo M.L. (2002); A New Rotation Invariant Goodness-of-Fit Test, PhD dissertation, Bowling Green State University.

Szekely G.J., Rizzo, M.L. (2005); A New Test for Multivariate Normality, Journal of Multivariate Analysis 93, 58–80.

Szekely G.J. (1989); Potential and Kinetic Energy in Statistics, Lecture Notes, Budapest Institute of Technology, TechnicalUniversity.

Wuertz, D., Chalabi, Y., Chen W., Ellis A. (2009); Portfolio Optimization with R/Rmetrics, Rmetrics eBook, Rmetrics Association and Finance Online, Zurich.

Examples

## LPP -
   LPP = as.timeSeries(data(LPP2005REC))[, 1:6]
   colnames(LPP)
   
   # Multivariate Shapiro Test:
   assetsTest(LPP, "shapiro")
   
   # Multivariate Energy Test:
   assetsTest(LPP, "energy")

[Package fAssets version 2100.77 Index]