V-matrix method of solving statistical inference problems

@article{Vapnik2015VmatrixMO,
  title={V-matrix method of solving statistical inference problems},
  author={Vladimir Vapnik and Rauf Izmailov},
  journal={Journal of Machine Learning Research},
  year={2015},
  volume={16},
  pages={1683-1730}
}
This paper presents direct settings and rigorous solutions of the main Statistical Inference problems. It shows that rigorous solutions require solving multidimensional Fredholm integral equations of the first kind in the situation where not only the right-hand side of the equation is an approximation, but the operator in the equation is also defined approximately. Using Stefanuyk-Vapnik theory for solving such ill-posed operator equations, constructive methods of empirical inference are… CONTINUE READING

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