Geodesic
Linearization of Pfaff differential equations for the conditional quantile of multivariate probability distributions
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2015), pp. 29-39

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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.
Mots-clés : Pfaff's equations, quantile, point transformation
Keywords: differential equations, Gaussian distribution, statistics, mathematical model regressions, probability. 
@article{VSGU_2015_10_a2,
     author = {I. S. Orlova},
     title = {Linearization of {Pfaff} differential equations for the conditional quantile of multivariate probability distributions},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {29--39},
     publisher = {mathdoc},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2015_10_a2/}
}
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I. S. Orlova. Linearization of Pfaff differential equations for the conditional quantile of multivariate probability distributions. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2015), pp. 29-39. http://geodesic.mathdoc.fr/item/VSGU_2015_10_a2/