Estimation of dependences based on empirical data / Vladimir Vapnik ; translated by Samuel Kotz.

Translation of: Vosstanovlenie zavisimosteĭ po ėmpiricheskim dannym.

Includes bibliographical references and index.

1. The problem of estimating dependences from empirical data -- App. Methods for solving ill-posed problems -- 2. Methods of expected-risk minimization -- 3. Methods of parametric statistics for the pattern recognition problem -- 4. Methods of parametric statistics for the problem of regression estimation -- 5. Estimation of regression parameters -- 6. A method of minimizing empirical risk for the problem of pattern recognition -- App. Theory of uniform convergence of frequencies to probabilities : sufficient conditions -- 7. A method of minimizing empirical risk for the problem of regression estimation -- App. Theory of uniform convergence of means to their mathematical expectations : necessary and sufficient conditions -- 8. The method of structural minimization of risk -- 9. Solution of ill-posed problems : interpretation of measurements using the method of structural risk minimization -- App. Statistical theory of regularization -- 10. Estimation of functional values at given points -- App. Taxonomy problems -- Addendum I. Algorithms for pattern recognition -- Addendum II. Algorithms for estimating nonindicator functions.