LINEARIZATION OF PFAFF DIFFERENTIAL EQUATIONS FOR THE CONDITIONAL QUANTILE OF MULTIVARIATE PROBABILITY DISTRIBUTIONS

The article is devoted to the task of bringing the point transformations of nonlinear partial differential equations of Pfaff for conditional quantile multi- variate probability distributions to the Pfaff differential equations with constant coefficients. Solutions of the equations of Pfaff with constant coefficients are linear functions representing the conditional quantile of multivariate Gaussian distributions.

Pfaff’s equations, quantile, differential equations, Gaussian distribution, point transformation, statistics, mathematical mode