nortsTest (version 1.0.3)

lobato.test: The Lobato and Velasco's Test for normality

Description

Performs the Lobato and Velasco's test for normality. The null hypothesis (H0), is that the given data follows a Gaussian process.

Usage

lobato.test(y,c = 1)

Value

A h.test class with the main results of the Lobato and Velasco's hypothesis test. The h.test class have the following values:

• "lobato"The Lobato and Velasco's statistic

• "df"The test degrees freedoms

• "p.value"The p value

• "alternative"The alternative hypothesis

• "method"The used method

• "data.name"The data name.

Arguments

y

a numeric vector or an object of the ts class containing a stationary time series.

c

a positive real value that identifies the total amount of values used in the cumulative sum.

Author

Asael Alonzo Matamoros and Alicia Nieto-Reyes.

Details

This test proves a normality assumption in correlated data employing the skewness-kurtosis test statistic, but studentized by standard error estimates that are consistent under serial dependence of the observations. The test was proposed by Lobato, I., & Velasco, C. (2004) and implemented by Nieto-Reyes, A., Cuesta-Albertos, J. & Gamboa, F. (2014).

References

Lobato, I., & Velasco, C. (2004). A simple test of normality in time series. Journal of econometric theory. 20(4), 671-689.

Nieto-Reyes, A., Cuesta-Albertos, J. & Gamboa, F. (2014). A random-projection based test of Gaussianity for stationary processes. Computational Statistics & Data Analysis, Elsevier, vol. 75(C), pages 124-141.

See Also

lobato.statistic,epps.test

Examples

# Generating an stationary arma process
y = arima.sim(100,model = list(ar = 0.3))
lobato.test(y)