Asymmetry Measures for Probability Density Functions
Switch between a range of probability density functions.
Empirical cummulative distribution function
Epanechnikov kernel
Strong asymmetry measure .
Strong asymmetry measure .
Asymmetry coefficient using boundary correction
Asymmetry coefficient
Asymmetry coefficient using boundary correction
Asymmetry coefficient
Asymmetry coefficient using boundary correction
Asymmetry coefficient
Integrated Epanechnikov function
Integrated Kernel density estimator
Kernel density estimator.
Switch between a range of available cumulative distribution functions.
Calculate
Calculate
Calculate .
Calculate
Switch between a range of available quantile functions.
Switch between a range of available random number generators.
Calculates the exact value , used in the implementation of the...
Calculates , used in the implementation of the strong asymmetr...
Calculates the exact value of , used in the implementation o...
Calculates , used in the implementation of the strong asymme...
Simpson integration
Provides functions and examples for the weak and strong density asymmetry measures in the articles: "A measure of asymmetry", Patil, Patil and Bagkavos (2012) <doi:10.1007/s00362-011-0401-6> and "A measure of asymmetry based on a new necessary and sufficient condition for symmetry", Patil, Bagkavos and Wood (2014) <doi:10.1007/s13171-013-0034-z>. The measures provided here are useful for quantifying the asymmetry of the shape of a density of a random variable. The package facilitates implementation of the measures which are applicable in a variety of fields including e.g. probability theory, statistics and economics.