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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Reprezentace Chekanovových-Eliashbergových algeber
 Poppr, Marián ; Golovko, Roman (advisor) ; Le, Hong Van (referee)
In this thesis, we study modern invariants of Legendrian knots on R3 with a standard contact structure. We introduce the notion of Chekanov-Eliashberg algebra (DGA) and Legendrian contact homology. Then we consider representa- tions of DGA as a way how to derive some computable invariants of Legendrian knots. Finally, we will find equivalence classes of graded 2-dimensional irreducible representations for a certain Legendrian knot. i
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The Cramér-Rao inequality on singular statistical models
 Le, Hong-Van ; Jost, J. ; Schwachhöfer, L.
We introduce the notions of essential tangent space and reduced Fisher metric and extend the classical Cramér-Rao inequality to $2$-integrable (possibly singular) statistical models for general $varphi$-estimators, where $varphi$ is a $V$-valued feature function and $V$ is a topological vector space. We show the existence of a $varphi$-efficient estimator on strictly singular statistical models associated with a finite sample space and on a class of infinite dimensional exponential models that have been discovered by Fukumizu. We conclude that our general Cramér-Rao inequality is optimal.
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See also: similar author names
2 Le, Hana
4 Le, Hoang Anh
4 Le, Hung
4 Le, Huy
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