Random Sequences

Random Sequences

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by Michiel van Lambalgen

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55 - 1 self

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@MISC{Lambalgen_randomsequences,
    author = {Michiel van Lambalgen},
    title = {Random Sequences},
    year = {}
}

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Citations

2262	Convergence of Probability Measures - Billingsley - 1968
1577	An Introduction to Probability Theory and Its Applications Volume I. 3rd edition - Feller - 1968
1420	An Introduction to Probability Theory and Its Applications - Feller - 1968
714	Theory of recursive functions and effective computability, McGraw-Hill - Rogers - 1967
311	Sequential Analysis - Wald - 1947
294	The definition of random sequences - Martin-Löf
274	A theory of program size formally identical to information theory - Chaitin - 1975
264	Algorithmic Information Theory - Chaitin - 1987
159	Ergodic Theory - Petersen
136	A complexity theoretic approach to randomness - Sipser - 1983
133	Zufälligkeit und Wahrscheinlichkeit - Schnorr - 1971
108	Grundbegriffe der Wahrscheinlichkeitsrechnung - Kolmogorov - 1933
93	Etude critique de la notion de collectif - Ville - 1939
86	Randomness conservation inequalities: Information and independence in mathematical theories - Levin - 1984
84	Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation - Furstenberg - 1967
73	Logical basis for information theory and probability theory - Kolmogorov - 1968
72	Process complexity and effective random tests - Schnorr - 1973
66	Les probabilités dénombrables et leurs applications arithmétiques - Borel - 1909
52	The incompleteness theorems - Smorynski - 1989
49	On the concept of a random sequence - Church - 1940
47	Gödel’s theorem and information - Chaitin
44	Generalized kolmogorov complexity and the structure of feasible computations - Hartmanis - 1983
43	The construction of decimals normal in the scale of ten - CHAMPERNOWNE - 1933
41	Entropy and the complexity of the trajectories of a dynamical system - Brudno - 1983
39	Comparative Statistical Inference - Barnett - 1999
38	Every sequence is reducible to a random one - Gács - 1986
31	On equivalence of infinite product measures - Kakutani - 1948
30	Regular and Stochastic motion, Springer– Verlag (1983); Hao Bai–Lin, Chaos,World Scientific (1984); P. Cvitanovic, Universality in Chaos, Adam Hilger - Lichtenberg, Lieberman - 1989
29	The probabilistic roots of the quantum mechanical paradoxes. The wave–particle dualism. A tribute to Louis de Broglie on his 90th Birthday - Accardi - 1984
26	On the relation between descriptional complexity and algorithmic probability - Gács - 1983
26	Mathematical Theory of Probability and Statistics - Mises - 1964
24	Discrete Parameter Martingales - Neveu - 1975
23	Symbolic Dynamics and Hyperbolic Dynamic Systems”, Phys - Alekseev, Yakobson - 1981
22	Reflection principles and their uses for establishing the complexity of axiomatic systems - Kreisel, Levy - 1968
19	Various measures of complexity for finite objects (axiomatic description - Levin - 1976
17	Foundations of Constructive Analysis. McGraw-Hill Book Co - Bishop - 1967
16	Exact expressions for some randomness tests - Gács - 1980
16	On random R.E. sets - Solovay - 1977
15	Informal rigour and completeness proofs - Kreisel - 1967
14	Von Mises’ definition of random sequences reconsidered - Lambalgen - 1987
14	On the notion of randomness - Martin-Löf - 1968
12	Foundations of probability theory - Kolmogorov - 1950
12	Die Widerspruchsfreiheit des Kollektivbegriffs in der Wahrscheinlichkeitsrechnung - Wald - 1937
11	Subsequences of normal sequences - KAMAE - 1973
10	The role of significance tests - Cox - 1977
10	Analytical choice sequences - Troelstra
8	Constructive Analysis, Springer-Verlag - Bishop, Bridges - 1985
8	Measure and category in effective descriptive set theory, Annals of Pure and Applied Logic 5 - Kechris - 1973
7	Exposé et discussion de quelques recherches récentes sur les fondements du calcul des probabilités. Actualités Scientifiques et Industrielles 735 23–55 - Fréchet - 1938
7	Mises, Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und Theoretischen Physik, F Deuticke - von - 1931