A modified Poisson distribution
Raghavendra Krishna, Varahamurti (1967)
Portugaliae mathematica
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Raghavendra Krishna, Varahamurti (1967)
Portugaliae mathematica
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K. Urbanik (1958)
Colloquium Mathematicum
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Z. Schenková (1982)
Acta Universitatis Carolinae. Mathematica et Physica
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Hugo Steinhaus, S. Zubrzycki (1957)
Colloquium Mathematicum
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J. Łąski (1976)
Applicationes Mathematicae
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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...
C. V. Stanojević (1973)
Recherche Coopérative sur Programme n°25
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Bru, Bernard (2005)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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A. Montanaro, A. Bressan (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Giulianella Coletti (1996)
Mathware and Soft Computing
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In this paper we present an overview of mathematical models for handling partial entailments and their extensions in a probabilistic frame.