Fetching the paper…
Reading the bibliography…
The first part of this paper is another English translation of a 1986 note.
Richard von Mises. Vorlesungen aus dem Gebiete der angewandten Mathematik. I. Band. Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und theoretischen Physik (Lectures on Applied Mathematics. Vol. 1. Probabilities and their Applications in Statistics and Theoretical Physics). Franz Deuticke, Leipzig and Vienna, 1931
1931
Earlier work this paper cites.
Abraham Wald. Die Widerspruchfreiheit des Kollectivbegriffes der Wahrscheinlichkeitsrechnung. Ergebnisse eines Mathematischen Kolloquiums , 8:38–72, 1937
1937
Earlier work this paper cites.
Jean Ville. Etude critique de la notion de collectif . Gauthier-Villars, Paris, 1939
1939
Earlier work this paper cites.
Alonzo Church. On the concept of a random sequence. Bulletin of American Mathematical Society , 46:130–135, 1940
1940
Earlier work this paper cites.
Andrei N. Kolmogorov. Grundbegriffe der Wahrscheinlichkeitsrechnung . Springer, Berlin, 1933. English translation: Foundations of the Theory of Probability. Chelsea, New York, 1950
1950
Earlier work this paper cites.
Joseph L. Doob. Stochastic Processes . Wiley, New York, 1953
1953
Earlier work this paper cites.
Andrei N. Kolmogorov. On tables of random numbers. Sankhya. Indian Journal of Statistics A , 25:369–376, 1963
1963
Earlier work this paper cites.
Andrei N. Kolmogorov. Three approaches to the quantitative definition of information. Problems of Information Transmission , 1:1–7, 1965. Russian original: Три подхода к определению понятия ‘‘количество информации’’
1965
Cited alongside, same era.
Per Martin-Löf. The definition of random sequences. Information and Control , 9:602–619, 1966
1966
Cited alongside, same era.
Hartley Rogers, Jr. Theory of Recursive Functions and Effective Computability . McGraw-Hill, New York, 1967
1967
Cited alongside, same era.
Andrei N. Kolmogorov. Logical basis for information theory and probability theory. IEEE Transactions of Information Theory , IT-14:662–664, 1968. Russian original: К логическим основам теории информации и теории вероятностей (published in 1969 in Проблемы передачи информации )
1969
Cited alongside, same era.
Andrei N. Kolmogorov. Combinatorial foundations of information theory and the calculus of probabilities. Russian Mathematical Surveys , 38:29–40, 1983. Russian original: Комбинаторные основания теории информации и исчисления вероятностей
1983
Later among the works it cites.
Leonid A. Levin. Uniform tests of randomness. Soviet Mathematics Doklady , 17:337–340, 1976. Russian original: Л. А. Левин. Равномерные тесты случайности. Доклады АН СССР 227(1):33–35, 1976
1984
Later among the works it cites.
Vladimir Vovk. On the concept of the Bernoulli property. Russian Mathematical Surveys , 41:247–248, 1986. Russian original: В. Г. Вовк. О понятии бернуллиевости. Успехи математических наук , 41(1):185–186, 1986
1986
Later among the works it cites.
Vladimir Vovk and Vladimir V. V’yugin. On the empirical validity of the Bayesian method. Journal of the Royal Statistical Society B , 55:253–266, 1993
1993
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Leonid A. Levin. On the notion of a random sequence. Soviet Mathematics Doklady , 14:1413–1416, 1973. Russian original: Л. А. Левин. О понятии случайности. Доклады АН СССР 212(1):548–550, 1973
1973
Cited alongside, same era.
Vladimir V. V’yugin. Algorithmic entropy (complexity) of finite objects and its applications to defining randomness and amount of information. Selecta Mathematica Sovietica , 13:357–389, 1994. Russian original: В. В. Вьюгин. Алгоритмическая энтропия (сложность) конечных объектов и ее применение к определению случайности и количества информации. Семиотика и информатика 16:14–43, 1981
1981
Cited alongside, same era.
Vladimir Vovk. Learning about the parameter of the Bernoulli model. Journal of Computer and System Sciences , 55:96–104, 1997
1997
Later among the works it cites.
Glenn Shafer and Vladimir Vovk. The origins and legacy of Kolmogorov’s Grundbegriffe . The Game-Theoretic Probability and Finance project, http://probabilityandfinance.com
2006
Later among the works it cites.