|
|
Characterization of probability distributions.
Pacáková, Andrea ; Klebanov, Lev (advisor) ; Bubelíny, Peter (referee)
Naxev pracc: Charakterizace pravdepodohnoslnich rozdekni Autor: Andrea Pacdkovd Katedra:K(//f dm pravdepodobnosti a matematicke statist iky Vedouci bakalafskc praee: Prof. Lev Kk'banov, DrSc. e-mail vcdouciho prace: kk'banov(alkarlin.mff.cuni.cz Abstrakt: Tato pracc se zabyvd charakterizaci normalniho a slabilniho rozdeleni. Vime. ze rozdeleni souciti nezavislych normalnich nahodnych velicin je normalni, a prave studium jisteho opaku lohoto tvrzeni je hlavnim client teto prace. Podstatna cast nasledncho te\ln je venovana sludiu vlastnosti intenzivne monotomuch operatorit a silne E-pozitivnkh rotiin funkci, ponioci nichz jsoit dokazany zajiniavc skutccnosti, jako je nask'dujici: Mitzeme-li predpoklddat shodn rozdclcm jeihw ndhodnc vcliciny a lineami jormy z nczavislych nahodnych velicin, pak za priddni dalskh predpokladit dokazetnc jiz pfesne urcil jcjich rozdekni. Posledni kapitola je vOnovana Bernsk'inove vt'tc ajejinnt diikazit zalozcnem pravc na vetdch o charaktcrizaci normahuho rozdekni. Klicova slova: intenzivne monotonni operator, siltie E-pozitivni rodina, lineurniforma, normalni a stahilni rozdekni Title: Characterization of probability distributions Author: Andrea Pacakova Department: Department of Probability and Mathematical Statistics Supervisor: Prof. Lev Kk'banov, DrSc. Supervisor's e-mail...
|
|
|
Characterization of probability distributions.
Pacáková, Andrea ; Bubelíny, Peter (referee) ; Klebanov, Lev (advisor)
Naxev pracc: Charakterizace pravdepodohnoslnich rozdekni Autor: Andrea Pacdkovd Katedra:K(//f dm pravdepodobnosti a matematicke statist iky Vedouci bakalafskc praee: Prof. Lev Kk'banov, DrSc. e-mail vcdouciho prace: kk'banov(alkarlin.mff.cuni.cz Abstrakt: Tato pracc se zabyvd charakterizaci normalniho a slabilniho rozdeleni. Vime. ze rozdeleni souciti nezavislych normalnich nahodnych velicin je normalni, a prave studium jisteho opaku lohoto tvrzeni je hlavnim client teto prace. Podstatna cast nasledncho te\ln je venovana sludiu vlastnosti intenzivne monotomuch operatorit a silne E-pozitivnkh rotiin funkci, ponioci nichz jsoit dokazany zajiniavc skutccnosti, jako je nask'dujici: Mitzeme-li predpoklddat shodn rozdclcm jeihw ndhodnc vcliciny a lineami jormy z nczavislych nahodnych velicin, pak za priddni dalskh predpokladit dokazetnc jiz pfesne urcil jcjich rozdekni. Posledni kapitola je vOnovana Bernsk'inove vt'tc ajejinnt diikazit zalozcnem pravc na vetdch o charaktcrizaci normahuho rozdekni. Klicova slova: intenzivne monotonni operator, siltie E-pozitivni rodina, lineurniforma, normalni a stahilni rozdekni Title: Characterization of probability distributions Author: Andrea Pacakova Department: Department of Probability and Mathematical Statistics Supervisor: Prof. Lev Kk'banov, DrSc. Supervisor's e-mail...
|
|
|
Analysis of change from baseline to post-intervention value
Pacáková, Andrea ; Hlávka, Zdeněk (referee) ; Kulich, Michal (advisor)
The aim of the present work is to compare three di erent estimators of a treatment e ect in clinical randomized studies. The purpose of these studies is to compare the change of a distribution of certain variable between two attendances. Mentioned estimators were developed from the assumption of validity of some model. In this work we gather properties of the estimators when each of all given models is valid. We deal with the consistency of the estimators and with their asymptotic distributions and then we compare the estimators on the basis of their asymptotic variances. In the most of cases is possible to make the comparison in general. In the case when it is not possible, we show a few particular examples. Eventually, we accomplish the simulation study, which certi es theoretical conclusions and extends pieces of knowledge in the cases when it was not possible to make theoretical computation in general.
|
guest ::
RSS feed.