Free cumulants of some probability measures
Melanie Hinz, Wojciech Młotkowski (2007)
Banach Center Publications
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Melanie Hinz, Wojciech Młotkowski (2007)
Banach Center Publications
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Brereton, Justin, Farid, Amelia, Karnib, Maryam, Marple, Gary, Quenon, Alex, Tefera, Akalu (2011)
The Electronic Journal of Combinatorics [electronic only]
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Mlotkowski, Wojciech (2010)
Documenta Mathematica
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Borwein, Jonathan, Bradley, David (1997)
Experimental Mathematics
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Olshanski, Grigori, Regev, Amitai (2001)
Séminaire Lotharingien de Combinatoire [electronic only]
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Cameron, Peter J., Johannsen, Daniel, Prellberg, Thomas, Schweitzer, Pascal (2008)
The Electronic Journal of Combinatorics [electronic only]
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Loehr, Nicholas A., Savage, Carla D. (2010)
Integers
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Liu, Shu-Chung, Wang, Yi, Yeh, Yeong-Nan (2011)
The Electronic Journal of Combinatorics [electronic only]
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Regev, Amitai (2010)
Séminaire Lotharingien de Combinatoire [electronic only]
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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...
I. R. Shafarevich (2000)
The Teaching of Mathematics
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Guo, Victor J.W. (2003)
The Electronic Journal of Combinatorics [electronic only]
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W. Słowikowski
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CONTENTS1. Introduction, review of the results, examples...................................................................................52. Linear probability measures and their representations................................................................103. Linear Lusin measurable functionals...............................................................................................164. Pre-supports and a modification of the definition of the linear probability measure................235....
Elena Barcucci, Sara Brunetti, Francesco Del Ristoro (2010)
RAIRO - Theoretical Informatics and Applications
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In this paper, we examine the class of "deco" polyominoes and the succession rule describing their construction. These polyominoes are enumerated according to their directed height by factorial numbers. By changing some aspects of the "factorial" rule, we obtain some succession rules that describe various "deco" polyomino subclasses. By enumerating the subclasses according to their height and width, we find the following well-known numbers: Stirling numbers of the first and second...
Guo, Victor J.W., Yang, Dan-Mei (2011)
The Electronic Journal of Combinatorics [electronic only]
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