Points 1, 2, 3, 4 originally had irregular ascending y-coordinates, which were transformed and rescaled to an arithmetic progression from -1 to 1 by coordinate-wise ...

Two vectors of information are needed to produce the optimally scaled variable: the initial variable scaling vector x and the target vector y. For convenience, both vectors are first sorted on the ...

Let T be a piecewise monotonic transformation on [ 0, 1 ] and let A be a T-invariant subset, which has positive topological entropy and satisfies the Darboux property. A general existence theorem for ...

We consider model-based prediction of a finite population total when a monotone transformation of the survey variable makes it appropriate to assume additive, homoscedastic errors. As the ...

PROC TRANSREG can estimate missing values, with or without category or monotonicity constraints, so that the regression model fit is optimized. Several approaches to missing data handling are provided ...