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Computational Methods for Maximum Likelihood Estimation in Generalized Linear Mixed Models
Otava, Martin ; Komárek, Arnošt (advisor) ; Kulich, Michal (referee)
of the diploma thesis Title: Computational Methods for Maximum Likelihood Estimation in Generalized Linear Mixed Models Author: Bc. Martin Otava Department: Department of Probability and Mathematical Statistics Supervisor: RNDr. Arnošt Komárek, Ph.D., Department of Probability and Mathematical Statistics Abstract: Using maximum likelihood method for generalized linear mixed models, the analytically unsolvable problem of maximization can occur. As solution, iterative and ap- proximate methods are used. The latter ones are core of the thesis. Detailed and general introducing of the widely used methods is emphasized with algorithms useful in practical cases. Also the case of non-gaussian random effects is discussed. The approximate methods are demonstrated using the real data sets. Conclusions about bias and consistency are supported by the simulation study. Keywords: generalized linear mixed model, penalized quasi-likelihood, adaptive Gauss- Hermite quadrature 1
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Parametric regression models in survival analysis
Otava, Martin ; Komárek, Arnošt (advisor) ; Ševčík, Jaroslav (referee)
Na'/cv prace: Paraniot.ricke regiesiri modely v analv'/e pfezitf Autor: Martin Otava Katedra (li.stav): Katedra pravdepoiiolmosti a niatcmatitke statistiky Vedouci bakalafske prace: Mgr. Amost Komarek, Ph.D. (j-inail vedonciho: komaiek( >karlin.mli.cuni.c /, Abst.rakl: \ pfcdlo/.ene. praci studujcme panunetricke re^resni modely v ana- lyze pre/.ili. Skrze pojem cen/orovani se se/namfme s podst.alou analy/.y pixv.iti a zavudrme si zakladnf pojiiiy ir/ivanr v souvislo^ti s ui. Uka'/niK1 si tvurbu vlicxlnc'lio rc^rcsni'lio inodcln a zpiiwoby odliadti paranictru s diua/,cni na inotixhi inaxiinalni vrrohodnosTi spolrriu"' s itcrarniini nu'l.odaini pro ... vyrt'seni. Vysvrtlnnr si vv'/nani iialiodiu'' chyliy inefriii. Die1 jcjilio roxdrlcni pak vyLvoriiuc nckolik ni/nycli pai'a.iiHit.i1itikycli niodrlu pro odhad li\i.s(oly etiyu do sclhani. Srovnanir inodcly s neparamctrirkym odliadnn, ktdiy nain poimizc ... i t . /da na.s model odpovi'da ri'aliTr. CV-lou [iraci bude provaxcT ihi- ,stra,ce na skiilcrnycli dal(irh slouxicf jako nkii/ka fuii^cjvani metody v pra.xi. KliVova slova: Analv/a prc/iti. iJarainrtrickr inodcly. Title: Accclcralfd iailurc t.inn1 models in survival analysis Ant hor: Mart in Otava Dqiart.nieiit.: Depart.mcnl of Proba.bilit.y a.nd Mat lunnatical St.atisl.ics Supervisor: Mgv. Arnost Komarck,...
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Iphigenie in Tauris by Gluck
Cukr, Lubor ; OTAVA, Martin (advisor) ; ŠIMERDA, Tomáš (referee)
In this work I concentrate on the sources from which Christoph Willibald Gluck and Nicola-Francois Guillard had come out when they are processing their story of Ifigenia in Tauris. At the same time, I describe my way to the setting of this piece in Silesian theatre Opava.
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Leoš Jánáček - operas
Kyovská Šerých, Mlada ; OTAVA, Martin (advisor) ; ŠIMERDA, Tomáš (referee)
This thesis addresses two principal operas by composer, Leoš Janáček. These are Jenůfa (1903) and The Cunning Little Vixen (1923). The author’s inspiration sources and the method of processing the selected subject are introduced herein. In both operas, L. Janáček is also the author of the libretto, which forms a link between these pieces. The information is drawn from ample Janáček literature and, of course, from music papers. The direction’s point of view is based upon the gained information regarding the pieces and upon the examination of some performance interpretations. With this thesis, I have verified that a thorough familiarity with the work is an absolute necessity for one’s own direction intention. It leads to realize the fact that one can create various interpretations of one piece when having a deep and stable understanding of it.
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Computational Methods for Maximum Likelihood Estimation in Generalized Linear Mixed Models
Otava, Martin ; Komárek, Arnošt (advisor) ; Kulich, Michal (referee)
of the diploma thesis Title: Computational Methods for Maximum Likelihood Estimation in Generalized Linear Mixed Models Author: Bc. Martin Otava Department: Department of Probability and Mathematical Statistics Supervisor: RNDr. Arnošt Komárek, Ph.D., Department of Probability and Mathematical Statistics Abstract: Using maximum likelihood method for generalized linear mixed models, the analytically unsolvable problem of maximization can occur. As solution, iterative and ap- proximate methods are used. The latter ones are core of the thesis. Detailed and general introducing of the widely used methods is emphasized with algorithms useful in practical cases. Also the case of non-gaussian random effects is discussed. The approximate methods are demonstrated using the real data sets. Conclusions about bias and consistency are supported by the simulation study. Keywords: generalized linear mixed model, penalized quasi-likelihood, adaptive Gauss- Hermite quadrature 1
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Parametric regression models in survival analysis
Otava, Martin ; Ševčík, Jaroslav (referee) ; Komárek, Arnošt (advisor)
Na'/cv prace: Paraniot.ricke regiesiri modely v analv'/e pfezitf Autor: Martin Otava Katedra (li.stav): Katedra pravdepoiiolmosti a niatcmatitke statistiky Vedouci bakalafske prace: Mgr. Amost Komarek, Ph.D. (j-inail vedonciho: komaiek( >karlin.mli.cuni.c /, Abst.rakl: \ pfcdlo/.ene. praci studujcme panunetricke re^resni modely v ana- lyze pre/.ili. Skrze pojem cen/orovani se se/namfme s podst.alou analy/.y pixv.iti a zavudrme si zakladnf pojiiiy ir/ivanr v souvislo^ti s ui. Uka'/niK1 si tvurbu vlicxlnc'lio rc^rcsni'lio inodcln a zpiiwoby odliadti paranictru s diua/,cni na inotixhi inaxiinalni vrrohodnosTi spolrriu"' s itcrarniini nu'l.odaini pro ... vyrt'seni. Vysvrtlnnr si vv'/nani iialiodiu'' chyliy inefriii. Die1 jcjilio roxdrlcni pak vyLvoriiuc nckolik ni/nycli pai'a.iiHit.i1itikycli niodrlu pro odhad li\i.s(oly etiyu do sclhani. Srovnanir inodcly s neparamctrirkym odliadnn, ktdiy nain poimizc ... i t . /da na.s model odpovi'da ri'aliTr. CV-lou [iraci bude provaxcT ihi- ,stra,ce na skiilcrnycli dal(irh slouxicf jako nkii/ka fuii^cjvani metody v pra.xi. KliVova slova: Analv/a prc/iti. iJarainrtrickr inodcly. Title: Accclcralfd iailurc t.inn1 models in survival analysis Ant hor: Mart in Otava Dqiart.nieiit.: Depart.mcnl of Proba.bilit.y a.nd Mat lunnatical St.atisl.ics Supervisor: Mgv. Arnost Komarck,...
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Surrealism and dadaism in operas of Bohuslav Martinů
Cukr, Lubor ; OTAVA, Martin (advisor) ; ŠIMERDA, Tomáš (referee)
This work presents the influence of avant-garde, mainly Surrealism and Dadaism, in operatic works of Bohuslav Martinů. First you find a brief overview of composer’s life focused on operatic works and also on the surroundings in which he was composing. Next part describes the period of avant-garde which has the main impact on the composer in the period when he starts to create on the field of musical theatre and influenced his thinking and perception at the artistic creation. The largest part of this work is a brief description of each opera of Martinů and the analysis of the situation connected to the avant-garde. At the end you can find the results of the impact of Surrealism and Dadaism on the composer’s creation.
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Modern Opera Directing in the Mid-20th Century
Otava, Martin ; HAVLÍK, Jaromír (advisor) ; HAJÓSSYOVÁ, Magdaléna (referee)
This work is intended primarily for young opera directors and students of opera directing. It?s divided into four chapters. The first three focus on the development of theater directing in the 20th century (with a spatial emphasis on opera.) In these chapters, I introduce a theoretical view on, and trends in, the task of the
director. The second half of the work, chapter 4, offers a perspective on the practice of directing with a special emphasis on the director?s collaboration with the artist. The ambition of the work is also to place the work of important Czech opera director Bohumil Hrdlička into a Czech and, after his immigration, a European context. This under appreciated artist, and important European director, has yet
to receive a full treatment of his work. In my exploration, I focus on the entire, broad, subject of opera directing on both a historical and practical level. My goal was to realize the complexity of the
subject, interpret it, and synthesize it from the perspective of a director in such a way as to gain the necessary perspective on the field in the context of the 20th century, so as to be able to use this knowledge not only as a director but, more importantly, as a pedagogue. A similar historical and practical handbook, which
also provides a personal view on the issues at hand, has until now been unavailable to students of opera directing in the Czech Republic.
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L´enfant et les sortiléges
Kyovská Šerých, Mlada ; OTAVA, Martin (advisor) ; ŠIMERDA, Tomáš (referee)
In this bachelor thesis I write about opera - ballet L´enfant et les sortiléges by Maurice Ravela a Collete. I deal with the personalities of the composer and the librettist and the circumstances in which the work was created. Further I explore the sources of inspiration particularly of Ravel and his relation ti the theme of childhood. Also I mention the premiere of the piece. Last but not least I address thestaging problems of this opera and I present my own cocept of a possible realization.
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Jiri Pauer operatic Creation and staging Solutions Opera "Žvanivý slimejš"
Lieberzeit, Michal ; OTAVA, Martin (advisor) ; NEKVASIL, Miloslav (referee)
My thesis "Opera Works of Jiří Pauer and Staging of the Opera Žvanivý slimejš" is dealing with the complete opera work of the composer Jiří Pauer. The thesis gives a thofough analysis of the staging of the opera "Žvanivý slimejš" of the original concept of Michal Lieberzeit. Moreover there follows also a brief synopsis and a breakdown of all Pauer´s opera works. In the appendix, you will find list of characters of the premieres and photographs of the staging in the National Theatre Prague.
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