Odeljenje za matematiku, 27. oktobar 2017.

• 26. Oktobar,  2017
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Naredni sastanak Seminara, biće održan u petak, 27. oktobra 2017. u sali 301f Matematičkog instituta SANU sa početkom u 14:15 časova.

Predavač: Jordan Stoyanov, Bulgarian Academy of Sciences, Sofia, Bulgaria; Newcastle University, United Kingdom

Naslov predavanja: MOMENT DETERMINACY OF PROBABILITY DISTRIBUTIONS

Apstrakt:
We deal with distributions (or measures), one-dimensional or multi-dimensional, with finite all moments. It is well-known that any such a distribution is either uniquely determined by its moment (M-determinate) or it is non-unique (M-indeterminate). This is the classical moment problem originated in works by Chebyshev, Markov and Stieltjes. Well-known are general conditions which are "iff", but they cannot be checked. Thus our discussion will be on easier and checkable conditions for either uniqueness or non-uniqueness applied to probability distributions. The emphasis will be on some recent developments such as:

1. Krein`s condition. Converse Krein`s condition and Lin`s condition.
2. Stieltjes classes for M-indeterminate distributions. Index of dissimilarity.
3. Hardy`s condition. Multidimensional moment problem.
4. Rate of growth of the moments for (in)determinacy.

There will be results, some of them very new, hints for their proof, examples and counterexamples, and also open questions.

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