| Autor: |
Vladimir Vapnik, Rauf Izmailov |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
Statistical Learning and Data Sciences ISBN: 9783319170909 |
| DOI: |
10.1007/978-3-319-17091-6_2 |
| Popis: |
This paper presents direct settings and rigorous solutions of Statistical Inference problems. It shows that rigorous solutions require solving ill-posed 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 operator equations, constructive methods of empirical inference are introduced. These methods are based on a new concept called \(V\)-matrix. This matrix captures geometric properties of the observation data that are ignored by classical statistical methods. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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