On the uniform convergence of relative frequencies of events to their probabilities

Measures of Complexity: Festschrift for Alexey Chervonenkis

Volumn , Issue , 2015, Pages 11-30

  Vapnik, V N ^a   Chervonenkis, A Ya ^a  

^a Institute of Automation and Remote Control   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

RELATIVE FREQUENCIES; UNIFORM CONVERGENCE;

EID: 84955753712     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-319-21852-6_3     Document Type: Chapter

References (4)

1. Vapnik,V.N.,Chervonenkis, A.Ya.: On the uniform convergence of relative frequencies of events to their probabilities. Dokl. Akad. Nauk SSSR 181(4), 781-783 (1968) (In Russian)
2. Gnedenko, B.V.: Theory of Probability, 4th edn. Chelsea Publishing Co., New York (1968)
3. Khinchin, A.Ya.: On basic theorems of information theory. Uspekhi Mat. Nauk XI(1), 17-75(1956) (In Russian)
4. Feller,W.: Introduction to Probability Theory and Its Applications, vol. 1, 2nd edn.Wiley, New York (1957)