. "1"^^ . "1"^^ . . "0"^^ . . "1"^^ . "The research will be centered around special stochastic processes specified below, handled in a parametric model suitable for a subsequent statistical analysis. We have on mind a process with several diffusion components driven by the process itself,typically a solution to a general SDE. The probabilistic moment problem technique is expected to provide main techniques for our proofs. Hence the functional analysis, the analytic and Borel sets theory and the set-valued maps models are the tools to beemployed to deliver the expected existence results and a description of the probability distributions of the original process itself. These probability distributions, in fact the distributions of the weak solutions to the underlying SDE that generates aprocess under investigation, will be studied with a stress on some special properties as to be an extreme point, a measure absolutely continuous with respect to another measure or to be the distribution of a solution with a given initial probability"@en . "0"^^ . . . . "Pravd\u011Bpodobnostn\u00ED a statistick\u00E1 anal\u00FDza re\u00E1ln\u00FDch proces\u016F" . . . . . "Zam\u011B\u0159me se na speci\u00E1ln\u00ED typy re\u00E1ln\u00FDch proces\u016F, definovan\u00FDch n\u00ED\u017Ee, uva\u017Eovan\u00FDch pro parametrick\u00FD modelov\u00FD popis vhodn\u00FD p\u0159i n\u00E1sledn\u00E9 statistick\u00E9 anal\u00FDze. M\u00E1me na mysli procesy s v\u00EDce dif\u00FAzn\u00EDmi slo\u017Ekami z\u00E1visl\u00FDmi na stavu procesu, typicky jde o \u0159e\u0161en\u00ED obecn\u00E9stochastick\u00E9 diferenci\u00E1ln\u00ED rovnice (SDR). Pravd\u011Bpodobnostn\u00ED techniky momentov\u00E9ho probl\u00E9mu n\u00E1m poskytnou hlavn\u00ED postupy pro d\u016Fkazy. Proto v\u00FDsledky z funkcion\u00E1ln\u00ED anal\u00FDzy, analytick\u00FDch a borelovsk\u00FDch mno\u017Ein a multifunkce p\u0159edstavuj\u00ED n\u00E1stroje pro o\u010Dek\u00E1van\u00E9existen\u010Dn\u00ED d\u016Fkazy a p\u0159i popisech pravd\u011Bpodobnostn\u00EDch m\u011Br odpov\u00EDdaj\u00EDc\u00EDch studovan\u00FDm proces\u016Fm. Tato rozd\u011Blen\u00ED, vlastn\u011B m\u00EDry odpov\u00EDdaj\u00EDc\u00ED slab\u00FDm \u0159e\u0161en\u00EDm SDR popisuj\u00EDc\u00EDch zkouman\u00E9 procesy, budeme sledovat se zv\u00FD\u0161en\u00FDm d\u016Frazem na speci\u00E1ln\u00ED typy \u0159e\u0161en\u00ED, jakojsouextrem\u00E1ln\u00ED body, \u0159e\u0161en\u00ED s p\u0159edepsan\u00FDmi po\u010D\u00E1te\u010Dn\u00EDmi rozd\u011Blen\u00EDmi \u010Di absolutn\u011B spojit\u00E1 jin\u00E9 m\u00ED\u0159e. Pozornost budeme tak\u00E9 v\u011Bnovat odpov\u00EDdaj\u00EDc\u00EDm probl\u00E9m\u016Fm extr\u00E9mn\u00EDch hodnot, kter\u00E9 jsou d\u016Fsledkem pot\u0159eby pravd\u011Bpodobnostn\u00EDho popisu extr\u00E9m\u016F v p\u0159\u00EDpad\u011B" . "2008-05-19+02:00"^^ . "GP201/03/P138" . . "We have considerably improved, see (Hlubinka, Math. Boh. 2003) and (Hlubinka, Kybernetika 2006), the results concerning the study of extremal characteristics of random spheroids observed through their profiles. The class of\u00A0 distribution for which our me"@en . . "Probabilistic and statistical analysis of real processes"@en . . "Neuvedeno."@en . . . . "V pr\u016Fb\u011Bhu \u0159e\u0161en\u00ED projektu se zejm\u00E9na poda\u0159ilo v\u00FDznamn\u00FDm zp\u016Fsobem, viz (Hlubinka, Math. Boh. 2003) a (Hlubinka, Kybernetika 2006), postoupit p\u0159i zkoum\u00E1n\u00ED extr\u00E9mn\u00EDch charakteristik n\u00E1hodn\u00FDch sf\u00E9roid\u016F pozorovan\u00FDch prost\u0159ednictv\u00EDm jejich \u0159ez\u016F. V \u010Dl\u00E1nku (Hlub"@cs . . "http://www.isvav.cz/projectDetail.do?rowId=GP201/03/P138"^^ . . .