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Pedro Terán's research work

Pedro Terán's research work. Still totally `Under construction'. Saturday, 8 November 2014. Counterexamples to a Central Limit Theorem and a Weak Law of Large Numbers for capacities. P Terán (2015). Statistics and Probability Letters. This note shows that the main results in a former SPL. At which point I felt so deeply offended by the argument of authority that I just cut all communication. 183; Laws of large numbers without additivity. 183; Non-additive probabilities and the laws of large numbers.

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Pedro Terán's research work | pteran.blogspot.com Reviews
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Pedro Terán's research work. Still totally `Under construction'. Saturday, 8 November 2014. Counterexamples to a Central Limit Theorem and a Weak Law of Large Numbers for capacities. P Terán (2015). Statistics and Probability Letters. This note shows that the main results in a former SPL. At which point I felt so deeply offended by the argument of authority that I just cut all communication. 183; Laws of large numbers without additivity. 183; Non-additive probabilities and the laws of large numbers.
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Pedro Terán's research work | pteran.blogspot.com Reviews

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Pedro Terán's research work. Still totally `Under construction'. Saturday, 8 November 2014. Counterexamples to a Central Limit Theorem and a Weak Law of Large Numbers for capacities. P Terán (2015). Statistics and Probability Letters. This note shows that the main results in a former SPL. At which point I felt so deeply offended by the argument of authority that I just cut all communication. 183; Laws of large numbers without additivity. 183; Non-additive probabilities and the laws of large numbers.

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1

Pedro Terán's research work: On consistency of stationary points of stochastic optimization problems in a Banach space

http://pteran.blogspot.com/2009/06/on-consistency-of-stationary-points-of.html

Pedro Terán's research work. Still totally `Under construction'. Thursday, 18 June 2009. On consistency of stationary points of stochastic optimization problems in a Banach space. P Terán (2010). Journal of Mathematical Analysis and Applications. A number of tools with independent interest have had to be developed which seem far from the problem, including a law of large numbers and a Komlós Theorem for random weak* compact sets. That made the paper fun to work on. Nothing for the moment. Pedro Terán rec...

2

Pedro Terán's research work: Algebraic, metric and probabilistic properties of convex combinations based on the t-normed extension principle: the Strong Law of Large Numbers

http://pteran.blogspot.com/2010/11/algebraic-metric-and-probabilistic.html

Pedro Terán's research work. Still totally `Under construction'. Monday, 21 February 2011. Algebraic, metric and probabilistic properties of convex combinations based on the t-normed extension principle: the Strong Law of Large Numbers. P Terán (2013). Fuzzy Sets and Systems. I think this is a nice paper. It combines many things and, being a 42-page manuscript to prove one theorem, it brings an `epic' culmination to part of my earlier research. The problem is for which triangular norms the SLLN holds in ...

3

Pedro Terán's research work: Expectations of random sets in Banach spaces

http://pteran.blogspot.com/2013/10/expectations-of-random-sets-in-banach.html

Pedro Terán's research work. Still totally `Under construction'. Thursday, 24 October 2013. Expectations of random sets in Banach spaces. P Terán (2014). Journal of Convex Analysis. Herer's expectation is not analytical but geometrical, as it only uses the metric structure of the space. It is defined as the locus of all points which are closer to each point x. Is, in average, to the farthest point of the random set. In other words, call R(x). The radius of a ball centered in x. The aim of the paper is to...

4

Pedro Terán's research work: Intersections of balls and the ball hull mapping

http://pteran.blogspot.com/2009/04/intersections-of-balls-and-ball-hull.html

Pedro Terán's research work. Still totally `Under construction'. Friday, 3 April 2009. Intersections of balls and the ball hull mapping. P Terán (2010). Journal of Convex Analysis. Although there is no probability in it, this paper is in fact part of a strand of research in random set theory. The driving question is as follows: what is the relationship between the Aumann and the Herer expectation of a random set? Which, I realize now, I haven't uploaded here yet). To download, click on the title or here.

5

Pedro Terán's research work: Jensen's inequality for random elements in metric spaces and some applications

http://pteran.blogspot.com/2013/09/jensens-inequality-for-random-elements.html

Pedro Terán's research work. Still totally `Under construction'. Monday, 23 September 2013. Jensen's inequality for random elements in metric spaces and some applications. P Terán (2014). Journal of Mathematical Analysis and Applications. By the way, this is my thirtieth paper.). This paper has a funny story. I was invited to give a talk a couple of years ago. From the background of the people issuing the invitation, it looked clear that they had found my second paper with Ilya Molchanov. The topic of th...

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Congreso de Jóvenes Investigadores RSME 2011

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Campus "Duques de Soria". Inscripción y alojamiento. Congreso de Jóvenes Investigadores RSME. Soria, 5 al 9 de septiembre de 2011. El congreso tendrá conferenciantes plenarios. Y varias sesiones paralelas. Enviando un breve resumen. Una vez finalice este plazo el organizador se pondrá en contacto con los investigadores para informarles sobre su petición. Departamento de Matemática Aplicada I, UPC). José María Espinar. Departamento de Geometría y Topología, UGr). Departamento de Matemáticas, UAM). Design ...

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Pedro Terán's research work. Still totally `Under construction'. Saturday, 8 November 2014. Counterexamples to a Central Limit Theorem and a Weak Law of Large Numbers for capacities. P Terán (2015). Statistics and Probability Letters. This note shows that the main results in a former SPL. At which point I felt so deeply offended by the argument of authority that I just cut all communication. 183; Laws of large numbers without additivity. 183; Non-additive probabilities and the laws of large numbers.

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