. " Latin Hypercube Sampling" . . "Bylo dosa\u017Eeno (i) vyvinut\u00ED a aplikace metody pro generaci n\u00E1hodn\u00FDch pol\u00ED,(ii) teoretick\u00E9 odvozen\u00ED chyb korela\u010Dn\u00EDch matic p\u0159i generov\u00E1n\u00ED n\u00E1hodn\u00FDch vektor\u016F, (iii) vyvinut\u00ED metody pro postupn\u00E9 roz\u0161i\u0159ov\u00E1n\u00ED vzork\u016F generovan\u00FDch pomoc\u00ED Latin Hypercube Sampling."@cs . . "0"^^ . . "2012-05-25+02:00"^^ . "1"^^ . . "The main results are: (i) development and application of a method for generation of random fields, (ii) theoretical derivation of errors of correlation matrices estimated in random variables generation, (iii) new method for sample size extension in LHS."@en . . . "reliability of structures" . "Rozvoj numerick\u00FDch metod anal\u00FDzy probl\u00E9m\u016F stochastick\u00E9 v\u00FDpo\u010Dtov\u00E9 mechaniky" . "0"^^ . . "2011-03-18+01:00"^^ . "reliability of structures; Monte Carlo type simulation; Latin Hypercube Sampling; copulae; random vectors; random fileds; correlation; statistical dependence; variance reduction techniques; extreme value statistics; heterogeneous microstructure"@en . " extreme value statistics" . . " Monte Carlo type simulation" . "16"^^ . . "The proposal represents a collection of nine interrelated research topics and problems to be solved or at least advanced within the framework of the grant. All of the problems are very clearly defined as they are resulted from the proposer's work in the past. Most of the presented problems require development of numerical methods for statistical, sensitivity and reliability analyses of problems with a random dimension. Some problems require theoretical advancements in the field of applied mathematics, especially statistics. The proposal presents highly interdisciplinary research: most of the proposed research can be applied in and is relevant not only to engineering (e.g. stochastic mechanics of solids), but also in reliability engineering and structural safety, applied mathematics and computational statistics, risk engineering, operational research, optimization, quality control, design of experiments (also in sociology), and very importantly also in economics."@en . . . "16"^^ . "http://www.isvav.cz/projectDetail.do?rowId=KJB201720902"^^ . "KJB201720902" . " statistical dependence" . " random vectors" . . " variance reduction techniques" . "N\u00E1vrh projektu p\u0159edstavuje kolekci dev\u00EDti prov\u00E1zan\u00FDch v\u00FDzkumn\u00FDch t\u00E9mat a probl\u00E9m\u016F, kter\u00E9 maj\u00ED b\u00FDt vy\u0159e\u0161eny v r\u00E1mci \u0159e\u0161en\u00ED grantu. V\u0161echny tyto probl\u00E9my jsou jasn\u011B definov\u00E1ny, nebo\u0165 jsou v\u00FDsledkem p\u0159edchoz\u00EDho v\u00FDzkumu navrhovatele. V\u011Bt\u0161ina p\u0159edstaven\u00FDch probl\u00E9m\u016F vy\u017Eaduje v\u00FDvoj numerick\u00FDch metod pro statistickou, citlivostn\u00ED a spolehlivostn\u00ED anal\u00FDzy probl\u00E9m\u016F s n\u00E1hodnou dimenz\u00ED. N\u011Bkter\u00E9 probl\u00E9my vy\u017Eaduj\u00ED teoretick\u00E9 pokroky na poli aplikovan\u00E9 matematiky, zejm\u00E9na statistiky. Navrhovan\u00FD v\u00FDzkum m\u00E1 siln\u011B interdisciplin\u00E1rn\u00ED povahu: v\u011Bt\u0161ina v\u00FDsledk\u016F navr\u017Een\u00E9ho v\u00FDzkumu m\u016F\u017Ee b\u00FDt aplikov\u00E1na a je relevantn\u00ED nejen v in\u017Een\u00FDrstv\u00ED (nap\u0159. stochastick\u00E1 mechanika), ale tak\u00E9 v rizikov\u00E9m in\u017Een\u00FDrstv\u00ED, spolehlivosti konstrukc\u00ED, aplikovan\u00E9 matematice a v\u00FDpo\u010Dtov\u00E9 statistice, v opera\u010Dn\u00EDm v\u00FDzkumu, optimalizaci, v kontrole kvality, v n\u00E1vrz\u00EDch experiment\u016F (i v sociologii) a v neposledn\u00ED \u0159ad\u011B tak\u00E9 v ekonomii." . . . "2009-01-01+01:00"^^ . "2011-12-31+01:00"^^ . . . " correlation" . . "Development of numerical methods for analyses of stochastic computational mechanics problems"@en . " copulae" . . . " random fileds" .