Doob at Lyon. On his lecture “Application of the theory of martingales” at Lyon Colloqium, June 28 – July 3, 1948.
Locker, Bernard (2009)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Locker, Bernard (2009)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Leon Brown, Bertram Schreiber (1996)
Studia Mathematica
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This work is concerned with the study of stochastic processes which are continuous in probability, over various parameter spaces, from the point of view of approximation and extension. A stochastic version of the classical theorem of Mergelyan on polynomial approximation is shown to be valid for subsets of the plane whose boundaries are sets of rational approximation. In a similar vein, one can obtain a version in the context of continuity in probability of the theorem of Arakelyan on...
Nassif Ghoussoub (1982)
Séminaire de probabilités de Strasbourg
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Bertrand's paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand's paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by...
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Séminaire de probabilités de Strasbourg
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