MaxSkewBiv: skewness-based projection pursuit for bivariate data
MaxSkewBiv: skewness-based projection pursuit for bivariate data
Finds Orthogonal Data Projections with Maximal Skewness for Bivariate Random Vectors
.MaxSkewBiv(x, y)
Arguments
x: it is a numerical variable
y: it is a numerical variable
Returns
.projectionBIV: Vector of projected data when the original data are bivariate. The user can obtain it by writing ".projectionBIV", and he can obtain a scatterplot of the projection by writing plot(.projectionBIV).
References
de Lathauwer L., de Moor B.and Vandewalle J. (2000). Onthebestrank-1andrank-(R_1,R_2,...R_N) approximation of high-order tensors. SIAM Jour. Matrix Ana. Appl. 21, 1324-1342.
Loperfido, N. (2010). Canonical Transformations of Skew-Normal Variates. Test 19, 146-165.
Loperfido, N. (2013). Skewness and the Linear Discriminant Function. Statistics and Probability Letters 83, 93-99.
Malkovich, J.F. and Afifi, A.A. (1973). On Tests for Multivariate Normality. J. Amer. Statist. Ass. 68, 176-179