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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015 Issue 10(132), Pages 29–39 (Mi vsgu481)

Mathematics

Linearization of Pfaff differential equations for the conditional quantile of multivariate probability distributions

I. S. Orlova

Samara State Aerospace University, 34, Moskovskoye Shosse, Samara, 443086, Russian Federation

Abstract: The article is devoted to the task of bringing the point transformations of nonlinear partial differential equations of Pfaff for conditional quantile multivariate 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.

Keywords: Pfaff's equations, quantile, differential equations, Gaussian distribution, point transformation, statistics, mathematical model regressions, probability.

UDC: 519.213, 517.936

Received: 22.09.2015



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