# Asymmetry Measures for Probability Density Functions

## Help Pages

 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