Women in Colombia face difficulties related to the patriarchal traits of their societies and well-known conflict afflicting country since 1948. In this critical context, our aim is study relationship between baseline socio-demographic factors variables associated fertility, partnership patterns, work activity. To best exploit explanatory structure, we propose a Bayesian multivariate density reg...

We deal with monotonic regression of multivariate functions [Formula: see text] on a compact rectangular domain in text], where monotonicity is understood generalized sense: as isotonicity some coordinate directions and antitonicity other directions. As usual, the given function that has smallest (weighted) mean-squared distance from text]. establish simple general approach to compute functions...

We propose a new, nonparametric method for multivariate regression subject to convexity or concavity constraints on the response function. Convexity constraints are common in economics, statistics, operations research and financial engineering, but there is currently no multivariate method that is computationally feasible for more than a few hundred observations. We introduce Convex Adaptive Pa...

In nonparametric multivariate regression analysis, one usually seeks methods to reduce the dimensionality of the regression function to bypass the difficulty caused by the curse of dimensionality. We study nonparametric estimation of multivariate conditional distribution and quantile regression via local univariate quadratic estimation of partial derivatives of bivariate copulas. Without restri...