Some results for poisoning in a catalytic model.
Steif, Jeffrey E., Sudbury, Aidan (2006)
Electronic Communications in Probability [electronic only]
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Steif, Jeffrey E., Sudbury, Aidan (2006)
Electronic Communications in Probability [electronic only]
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B. Kopociński (2004)
Applicationes Mathematicae
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We define two splitting procedures of the interval [0,1], one using uniformly distributed points on the chosen piece and the other splitting a piece in half. We also define two procedures for choosing the piece to be split; one chooses a piece with a probability proportional to its length and the other chooses each piece with equal probability. We analyse the probability distribution of the lengths of the pieces arising from these procedures.
Mostafa K. Ardakani, Shaun S. Wulff (2014)
Discussiones Mathematicae Probability and Statistics
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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...
A. Montanaro, A. Bressan (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Carol Bezuidenhout, Geoffrey Grimmett (1999)
Annales de l'I.H.P. Probabilités et statistiques
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George Haiman, Nelly Mayeur, Valéry Nevzorov, Madan L. Puri (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Romano Scozzafava (1996)
Mathware and Soft Computing
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Milena Bieniek, Dominik Szynal (2005)
Applicationes Mathematicae
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We consider a partition of the interval [0,1] by two partition procedures. In the first a chosen piece of [0,1] is split into halves, in the second it is split by uniformly distributed points. Initially, the interval [0,1] is divided either into halves or by a uniformly distributed random variable. Next a piece to be split is chosen either with probability equal to its length or each piece is chosen with equal probability, and then the chosen piece is split by one of the above procedures....
J. Łąski (1976)
Applicationes Mathematicae
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