P. Terán, I. Molchanov (2006). In Soft methods for integrated uncertainty modelling (J.Lawry, E.Miranda, A.Bugarin, S.Li, M.A.Gil, P. Grzegorzewski, O. Hryniewicz, editors), 153-160. Springer, Berlin.
[Proceedings of the 3rd Intl. Conf. on Soft Methods in Statistics and Probability] [Invited session Probability of imprecisely valued random elements with applications]
We tried to draw some attention to our JTP paper among the fuzzy community, by showing that spaces of fuzzy sets are examples of the general`convex combination spaces' used there. A c.c.s. is much more general than a Banach space (e.g. convolution of probability measures, max-product, global NPC spaces).
Two applications are presented:
-a strong law of large numbers for fuzzy random variables in non-Banach spaces,
-a strong law of large numbers for level-2 fuzzy random variables.
These results cannot be obtained with the usual methods relying on Banach spaces.
Up the line:
A law of large numbers in a metric space with a convex combination operation (w. Ilya Molchanov). You may download a (non-final) preprint copy from Ilya's website.
Down the line:
Nothing yet. Some of the compactness methods in the proof are reused in
On a uniform law of large numbers for random sets and subdifferentials of random functions.
To download, click on the title or here.
Thursday, 18 October 2007
Monday, 15 October 2007
Hi
A fact about modern scientific research, and one researchers may want to ponder, is that no-one cares about you. Just as tons and tons of new papers are being printed and published right as I speak, you should know that Pallas Athena will visit no-one in dreams to tell them to read your paper.
In the old days, researchers went to the university library to browse through a small number of journals, looking for new, interesting papers. Today, a journal's output tends to become more and more heterogenous, so that only a small fraction of papers in a given journal are of interest to any given scientist. As a consequence, the only way to stay up-to-date is to check periodically the websites of at least ten to twenty journals.
In one of those mining sessions, one will read the titles of several hundreds of papers. For each of them, an effort is required to decide whether the title is promising enough to justify downloading and summarily checking the paper.
It is quite easier to draw people to your paper by using your name as a hook. That is, if you have a name. If you don't, and even more if you don't have what it takes to write catchy, slightly deluding titles, you are uphill to having your paper read by more than half a dozen people in the world, your mom included. So much for the advent of the information era.
This blog constitutes, thus, my uphill effort. Although most of my work is easily traceable or accessible using MathSciNet, Sciencedirect or whatever, why not devote a little time to care personally about the people who randomly get to read me? If they have found out something of value, they may google for more with no result.
So you will be able to find here:
·My new papers, as soon as a stable preprint version is available;
·Some of my old papers, whose uploading constitutes no copyright infringement;
·Comments on my papers;
·Conference communications (I typically do not rebuild this material into papers).
I hope some will be interesting to you. The blog structure makes it easy to filter the other material (hints: click on the labels, use the search box) and to interact with me.
In the old days, researchers went to the university library to browse through a small number of journals, looking for new, interesting papers. Today, a journal's output tends to become more and more heterogenous, so that only a small fraction of papers in a given journal are of interest to any given scientist. As a consequence, the only way to stay up-to-date is to check periodically the websites of at least ten to twenty journals.
In one of those mining sessions, one will read the titles of several hundreds of papers. For each of them, an effort is required to decide whether the title is promising enough to justify downloading and summarily checking the paper.
It is quite easier to draw people to your paper by using your name as a hook. That is, if you have a name. If you don't, and even more if you don't have what it takes to write catchy, slightly deluding titles, you are uphill to having your paper read by more than half a dozen people in the world, your mom included. So much for the advent of the information era.
This blog constitutes, thus, my uphill effort. Although most of my work is easily traceable or accessible using MathSciNet, Sciencedirect or whatever, why not devote a little time to care personally about the people who randomly get to read me? If they have found out something of value, they may google for more with no result.
So you will be able to find here:
·My new papers, as soon as a stable preprint version is available;
·Some of my old papers, whose uploading constitutes no copyright infringement;
·Comments on my papers;
·Conference communications (I typically do not rebuild this material into papers).
I hope some will be interesting to you. The blog structure makes it easy to filter the other material (hints: click on the labels, use the search box) and to interact with me.
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