A survey of random processes with reinforcement.
Pemantle, Robin (2007)
Probability Surveys [electronic only]
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Pemantle, Robin (2007)
Probability Surveys [electronic only]
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Benjamini, Itai, Kozma, Gady, Romik, Dan (2006)
Electronic Communications in Probability [electronic only]
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Major, Peter (2006)
Electronic Communications in Probability [electronic only]
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Thomas Bloom (2007)
Annales Polonici Mathematici
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For certain ensembles of random polynomials we give the expected value of the zero distribution (in one variable) and the expected value of the distribution of common zeros of m polynomials (in m variables).
Wilkins, J.Ernest jun. (2000)
International Journal of Mathematics and Mathematical Sciences
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Sung, Soo Hak (2000)
International Journal of Mathematics and Mathematical Sciences
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Beg, Ismat (1999)
International Journal of Mathematics and Mathematical Sciences
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Nezakati, A., Farahmand, K. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Rhodes, Rémi, Vargas, Vincent (2010)
Electronic Journal of Probability [electronic only]
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Roellin, Adrian (2008)
Electronic Journal of Probability [electronic only]
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Bradley, Richard C. (2005)
Probability Surveys [electronic only]
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Enriquez, Nathanaël, Sabot, Christophe (2006)
Electronic Journal of Probability [electronic only]
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Kuczmaszewska, Anna, Szynal, Dominik (2000)
International Journal of Mathematics and Mathematical Sciences
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Hiroyuki Okazaki, Yasunari Shidama (2010)
Formalized Mathematics
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In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.