"IAA1075709" . "Development of statistical methods for evaluation of goodness-of-fit between data and parametrized probabilistic models, based on information-theoretic divergences between distributions of data and distributions of the model. Specification of regularity conditions under which there exist limiting distributions of the divergence statistics and of the methods for selection of the statistic leading to an optimum test. Description of tests using the R\u00E9nyi divergence statistics applicable to general simple and composite hypotheses in multivariate exponential models. Evaluation of robustness in cases where the model can be transformed to the location form. Formulation of a general global information criterion for evaluation of dimension of probabilistic data models and its verification on simulated and real data."@en . . "Rozpracov\u00E1n\u00ED statistick\u00FDch metod pro posuzov\u00E1n\u00ED shody dat a pravd\u011Bpodobnostn\u00EDho modelu zalo\u017Een\u00FDch na informa\u010Dn\u011B-teoretick\u00FDch divergenc\u00EDch distribuce dat a parametrizovan\u00E9 distribuce modelu. P\u0159edev\u0161\u00EDm jde o zji\u0161t\u011Bn\u00ED podm\u00EDnek, p\u0159i kter\u00FDch divergen\u010Dn\u00ED statistiky maj\u00ED limitn\u00ED rozd\u011Blen\u00ED a o metodiku volby t\u00E9 statistiky, kter\u00E1 poskytuje optim\u00E1ln\u00ED test. Dal\u0161\u00EDm c\u00EDlem je popis test\u016F zalo\u017Een\u00FDch na R\u00E9nyiho divergen\u010Dn\u00EDch statistik\u00E1ch pro testov\u00E1n\u00ED jednoduch\u00FDch i slo\u017Een\u00FDch hypot\u00E9z obecn\u00E9ho typu v mnohorozm\u011Brn\u00FDch exponenci\u00E1ln\u00EDch modelech. Stanoven\u00ED robustnosti v p\u0159\u00EDpad\u011B transformovatelnosti na n\u011Bkter\u00FD z model\u016F polohy. Posledn\u00EDm c\u00EDlem je formulace obecn\u00E9ho glob\u00E1ln\u00EDho informa\u010Dn\u00EDho krit\u00E9ria pro stanoven\u00ED dimenze pravd\u011Bpodobnostn\u00EDho modelu dat a ov\u011B\u0159en\u00ED jeho \u00FA\u010Dinnosti na simulovan\u00FDch i re\u00E1ln\u00FDch datech." . . "1"^^ . . . . "0"^^ . "Informa\u010Dn\u011B-teoretick\u00E1 krit\u00E9ria shody dat a pravd\u011Bpodobnostn\u00EDch model\u016F" . . . "0"^^ . . . "Statistick\u00E9 odhady, kter\u00E9 minimalizuj\u00ED informa\u010Dn\u00ED divergence, jsou v regul\u00E1rn\u00EDch modelech eficientn\u00ED. Divergence empirick\u00FDch a hypotetick\u00FDch rozd\u011Blen\u00ED umo\u017E\u0148uj\u00ED testov\u00E1n\u00ED jednoduch\u00FDch i slo\u017Een\u00FDch hypot\u00E9z o n\u00E1hodn\u00FDch procesech a pol\u00EDch."@cs . . . "Information-theoretic criteria of gooddness-of-fit between data and probabilistic models"@en . "http://www.isvav.cz/projectDetail.do?rowId=IAA1075709"^^ . . . "20"^^ . . "20"^^ . .