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National Repository of Grey Literature 3 records found  Search took 0.00 seconds. 
Introduction to Order Statistics Theory
 Hanuš, Antonín ; Kulich, Michal (advisor) ; Klebanov, Lev (referee)
This thesis deals with the theory of order statistics. Its aim is to summarize the basic knowledge concerning the distribution of the order statistics of random variables that are absolutely continuous with respect to the Lebesgue Measure and afterwards use those order statistics for some specific distributions. The first chapter describes the derivation of the density and distribution function of order statistics in several ways as well as dealing with some functions of order statistics and their conditional distribution. The second chapter is devoted to the moments of order statistics and formulae for their calculation and to the relations between them. In the conclusion the previous theoretical findings are applied to the uniform, exponential and normal distributions. 1
Detailed record
Analysis of Outcome Change in Randomized Studies
 Hanuš, Antonín ; Kulich, Michal (advisor) ; Malý, Marek (referee)
Antonín Hanuš 5. prosince 2014 This work deals with randomized clinical trials of medicaments. It examines three models of dependece of final values on initial values in case, that all variables are measured with some measurement error. For each model is derived effect of treatment estimate and its asymptotical properties, specifically consistency and asymptotical variance. The work mostly deals with linear model of analysis of covariance ANCOVA. The work fruther contents comparison of properties of estimates from all three models in case, that examined data come from a linear model. There is a comparison of asymptotical variances of estimates from all three models and for each of them there are examined conditions, when this model gives the best results. In the end there is a simulation study, which verifies all previous results. 1
Detailed record
Introduction to Order Statistics Theory
 Hanuš, Antonín ; Kulich, Michal (advisor) ; Klebanov, Lev (referee)
This thesis deals with the theory of order statistics. Its aim is to summarize the basic knowledge concerning the distribution of the order statistics of random variables that are absolutely continuous with respect to the Lebesgue Measure and afterwards use those order statistics for some specific distributions. The first chapter describes the derivation of the density and distribution function of order statistics in several ways as well as dealing with some functions of order statistics and their conditional distribution. The second chapter is devoted to the moments of order statistics and formulae for their calculation and to the relations between them. In the conclusion the previous theoretical findings are applied to the uniform, exponential and normal distributions. 1
Detailed record

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