Asymmetry Measures for Probability Density Functions

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Documentation for package ‘asymmetry.measures’ version 0.2

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d.sample Switch between a range of probability density functions.
edf Empirical cummulative distribution function
Epanechnikov Epanechnikov kernel
eta.s Strong asymmetry measure eta(X).
eta.s.exact Strong asymmetry measure eta(X).
eta.w.breve Asymmetry coefficient \breve{eta}
eta.w.breve.bc Asymmetry coefficient \breve{eta} using boundary correction
eta.w.hat Asymmetry coefficient \hat{eta}
eta.w.hat.bc Asymmetry coefficient \hat{eta} using boundary correction
eta.w.tilde Asymmetry coefficient \tilde{eta}
eta.w.tilde.bc Asymmetry coefficient \tilde{eta} using boundary correction
GDP.Per.head.dist.1995 annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countries
GDP.Per.head.dist.2005 annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countries
IntEpanechnikov Integrated Epanechnikov function
IntKde Integrated Kernel density estimator
kde Kernel density estimator.
p.sample Switch between a range of available cumulative distribution functions.
pdfsq Calculate f^2(x)
pdfsqcdf Calculate f^2(x)F(x)
pdfsqcdfstar Calculate f^2(x)(1-F(x)).
pdfthird Calculate f^3(x)
q.sample Switch between a range of available quantile functions.
r.sample Switch between a range of available random number generators.
Rho.p Calculates rho_p, used in the implementation of the strong asymmetry measure eta(X).
Rho.p.exact Calculates the exact value rho_p, used in the implementation of the strong asymmetry measure eta(X).
Rhostar.p Calculates rho_p^*, used in the implementation of the strong asymmetry measure eta(X).
Rhostar.p.exact Calculates the exact value of rho_p^*, used in the implementation of the strong asymmetry measure eta(X).
SimpsonInt Simpson integration