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This thesis is divided into three main parts: The description of the calibration problem, the numerical solution of this problem and the connection to optimal stochastic control problems. Fitting model prices to given market prices leads to an abstract least squares formulation as calibration problem. The corresponding option price can be computed by solving a stochastic differential equation via the Monte-Carlo method which seems to be preferred by most practitioners. Due to the fact that the Monte-Carlo method is expensive in terms of computational effort and requires memory, more sophisticated stochastic predictor-corrector schemes are established in this thesis. The numerical advantage of these predictor-corrector schemes ispresented and discussed. The adjoint method is applied to the calibration. The theoretical advantage of the adjoint method is discussed in detail. It is shown that the computational effort of gradient calculation via the adjoint method is independent of the number of calibration parameters. Numerical results confirm the theoretical results and summarize the computational advantage of the adjoint method. Furthermore, provides the connection to optimal stochastic control problems is proven in this thesis.
Surveys are commonly tailored to produce estimates of aggregate statistics with a desired level of precision. This may lead to very small sample sizes for subpopulations of interest, defined geographically or by content, which are not incorporated into the survey design. We refer to subpopulations where the sample size is too small to provide direct estimates with adequate precision as small areas or small domains. Despite the small sample sizes, reliable small area estimates are needed for economic and political decision making. Hence, model-based estimation techniques are used which increase the effective sample size by borrowing strength from other areas to provide accurate information for small areas. The paragraph above introduced small area estimation as a field of survey statistics where two conflicting philosophies of statistical inference meet: the design-based and the model-based approach. While the first approach is well suited for the precise estimation of aggregate statistics, the latter approach furnishes reliable small area estimates. In most applications, estimates for both large and small domains based on the same sample are needed. This poses a challenge to the survey planner, as the sampling design has to reflect different and potentially conflicting requirements simultaneously. In order to enable efficient design-based estimates for large domains, the sampling design should incorporate information related to the variables of interest. This may be achieved using stratification or sampling with unequal probabilities. Many model-based small area techniques require an ignorable sampling design such that after conditioning on the covariates the variable of interest does not contain further information about the sample membership. If this condition is not fulfilled, biased model-based estimates may result, as the model which holds for the sample is different from the one valid for the population. Hence, an optimisation of the sampling design without investigating the implications for model-based approaches will not be sufficient. Analogously, disregarding the design altogether and focussing only on the model is prone to failure as well. Instead, a profound knowledge of the interplay between the sample design and statistical modelling is a prerequisite for implementing an effective small area estimation strategy. In this work, we concentrate on two approaches to address this conflict. Our first approach takes the sampling design as given and can be used after the sample has been collected. It amounts to incorporate the survey design into the small area model to avoid biases stemming from informative sampling. Thus, once a model is validated for the sample, we know that it holds for the population as well. We derive such a procedure under a lognormal mixed model, which is a popular choice when the support of the dependent variable is limited to positive values. Besides, we propose a three pillar strategy to select the additional variable accounting for the design, based on a graphical examination of the relationship, a comparison of the predictive accuracy of the choices and a check regarding the normality assumptions.rnrnOur second approach to deal with the conflict is based on the notion that the design should allow applying a wide variety of analyses using the sample data. Thus, if the use of model-based estimation strategies can be anticipated before the sample is drawn, this should be reflected in the design. The same applies for the estimation of national statistics using design-based approaches. Therefore, we propose to construct the design such that the sampling mechanism is non-informative but allows for precise design-based estimates at an aggregate level.
In this thesis, we present a new approach for estimating the effects of wind turbines for a local bat population. We build an individual based model (IBM) which simulates the movement behaviour of every single bat of the population with its own preferences, foraging behaviour and other species characteristics. This behaviour is normalized by a Monte-Carlo simulation which gives us the average behaviour of the population. The result is an occurrence map of the considered habitat which tells us how often the bat and therefore the considered bat population frequent every region of this habitat. Hence, it is possible to estimate the crossing rate of the position of an existing or potential wind turbine. We compare this individual based approach with a partial differential equation based method. This second approach produces a lower computational effort but, unfortunately, we lose information about the movement trajectories at the same time. Additionally, the PDE based model only gives us a density profile. Hence, we lose the information how often each bat crosses special points in the habitat in one night. In a next step we predict the average number of fatalities for each wind turbine in the habitat, depending on the type of the wind turbine and the behaviour of the considered bat species. This gives us the extra mortality caused by the wind turbines for the local population. This value is used for a population model and finally we can calculate whether the population still grows or if there already is a decline in population size which leads to the extinction of the population. Using the combination of all these models, we are able to evaluate the conflict of wind turbines and bats and to predict the result of this conflict. Furthermore, it is possible to find better positions for wind turbines such that the local bat population has a better chance to survive. Since bats tend to move in swarm formations under certain circumstances, we introduce swarm simulation using partial integro-differential equations. Thereby, we have a closer look at existence and uniqueness properties of solutions.
Interaction between the Hypothalamic-Pituitary-Adrenal Axis and the Circadian Clock System in Humans
(2017)
Rotation of the Earth creates day and night cycles of 24 h. The endogenous circadian clocks sense these light/dark rhythms and the master pacemaker situated in the suprachiasmatic nucleus of the hypothalamus entrains the physical activities according to this information. The circadian machinery is built from the transcriptional/translational feedback loops generating the oscillations in all nucleated cells of the body. In addition, unexpected environmental changes, called stressors, also challenge living systems. A response to these stimuli is provided immediately via the autonomic-nervous system and slowly via the hypothalamus"pituitary"adrenal (HPA) axis. When the HPA axis is activated, circulating glucocorticoids are elevated and regulate organ activities in order to maintain survival of the organism. Both the clock and the stress systems are essential for continuity and interact with each other to keep internal homeostasis. The physiological interactions between the HPA axis and the circadian clock system are mainly addressed in animal studies, which focus on the effects of stress and circadian disturbances on cardiovascular, psychiatric and metabolic disorders. Although these studies give opportunity to test in whole body, apply unwelcome techniques, control and manipulate the parameters at the high level, generalization of the results to humans is still a debate. On the other hand, studies established with cell lines cannot really reflect the conditions occurring in a living organism. Thus, human studies are absolutely necessary to investigate mechanisms involved in stress and circadian responses. The studies presented in this thesis were intended to determine the effects of cortisol as an end-product of the HPA axis on PERIOD (PER1, PER2 and PER3) transcripts as circadian clock genes in healthy humans. The expression levels of PERIOD genes were measured under baseline conditions and after stress in whole blood. The results demonstrated here have given better understanding of transcriptional programming regulated by pulsatile cortisol at standard conditions and short-term effects of cortisol increase on circadian clocks after acute stress. These findings also draw attention to inter-individual variations in stress response as well as non-circadian functions of PERIOD genes in the periphery, which need to be examined in details in the future.
Automata theory is the study of abstract machines. It is a theory in theoretical computer science and discrete mathematics (a subject of study in mathematics and computer science). The word automata (the plural of automaton) comes from a Greek word which means "self-acting". Automata theory is closely related to formal language theory [99, 101]. The theory of formal languages constitutes the backbone of the field of science now generally known as theoretical computer science. This thesis aims to introduce a few types of automata and studies then class of languages recognized by them. Chapter 1 is the road map with introduction and preliminaries. In Chapter 2 we consider few formal languages associated to graphs that has Eulerian trails. We place few languages in the Chomsky hierarchy that has some other properties together with the Eulerian property. In Chapter 3 we consider jumping finite automata, i. e., finite automata in which input head after reading and consuming a symbol, can jump to an arbitrary position of the remaining input. We characterize the class of languages described by jumping finite automata in terms of special shuffle expressions and survey other equivalent notions from the existing literature. We could also characterize some super classes of this language class. In Chapter 4 we introduce boustrophedon finite automata, i. e., finite automata working on rectangular shaped arrays (i. e., pictures) in a boustrophedon mode and we also introduce returning finite automata that reads the input, line after line, does not alters the direction like boustrophedon finite automata i. e., reads always from left to right, line after line. We provide close relationships with the well-established class of regular matrix (array) languages. We sketch possible applications to character recognition and kolam patterns. Chapter 5 deals with general boustrophedon finite automata, general returning finite automata that read with different scanning strategies. We show that all 32 different variants only describe two different classes of array languages. We also introduce Mealy machines working on pictures and show how these can be used in a modular design of picture processing devices. In Chapter 6 we compare three different types of regular grammars of array languages introduced in the literature, regular matrix grammars, (regular : regular) array grammars, isometric regular array grammars, and variants thereof, focusing on hierarchical questions. We also refine the presentation of (regular : regular) array grammars in order to clarify the interrelations. In Chapter 7 we provide further directions of research with respect to the study that we have done in each of the chapters.
Im März 196 v. Chr. erließ eine in Memphis versammelte Synode von Priestern aus den Tempeln Ägyptens ein Ehrendekret in drei verschiedenen Sprachen für den amtierenden Herrscher Ptolemaios V. Epiphanes: Der klassischen Sprache des pharaonischen Ägypten, geschrieben in altägyptischen Hieroglyphen, dem Demotischen, der damals gesprochenen Sprachstufe des Altägyptischen und dem hellenistischen Griechisch des 2 Jh.. Von dieser Textsorte sind bisher insgesamt nur vier relativ vollständig erhaltene Beispiele auf uns gekommen. Diese folgen sämtlich in ihrem Formular in hohem Maße der im griechischen Bereich ubiquitären Psephismata und setzen alle im jeweiligen Beschlussteil Ehrungen fest, die die Rolle des ptolemäisch-hellenistischen Herrschers im Kontext der altägyptischen Kulte betreffen. Die vorliegende Arbeit will zum einen in ihrem Kommentarteil eine Grundlage für die weitere Beschäftigung mit allen drei Sprachfassungen des Dekrets von Memphis durch die ptolemaistisch-althistorische Forschung leisten. Zum anderen möchte sie auf Grundlage des Textes die Rolle des Herrschers aus Sicht der beschließenden Priesterschaft beleuchten. Es kann gezeigt werden, dass das Dekret - anders als bisher angenommen - nicht zur eigentlichen Thronbesteigung, sondern anlässlich eines späteren Thronjubiläums erlassen wurde und gleichwohl die Fiktion eines innenpolitischen Neuanfangs (vermutlich im Sinne des Hofes) angesichts erster, bescheidener Erfolge gegen innere Aufstände der indigenen Bevölkerung in Unter- und Oberägypten inszeniert. Die kultische Herrscherverehrung hellenischer Provenienz erscheint in diesem Text ggü. den früheren Dekreten von Kanobos und Raphia relativ vollständig in den altägyptischen religiösen Kontext übersetzt, sodass hier durchaus von einem "ägyptischen Herrscherkult" gesprochen werden kann. Dabei wird der sehr junge fünfte Ptolemäerkönig sehr auffällig mit Kindformen des Gottes Horus (Harendotes, Harsiese) gleichgesetzt, was zum einen die legitime Machtübernahme durch den Sohn des verstorbenen Herrschers von einer im ägyptischen Kontext religiös definierten Sieghaftigkeit gegen die "Götterfeinde" abhängig erscheinen lässt, zum anderen den König in den Kontext der spätzeitlichen Verehrung von Kindgottheiten und Götterttriaden setzt. Alles in allem scheint die ägyptische Priesterschaft mittels einer für die eigenen Bedürfnisse flexibel adaptierten ursprünglich griechischen Textform den eigenen Anspruch auf Definition religiös legitimierter Königsmacht erhoben und im Diskurs um Privilegien und Unterstützung im ptolemäischen Ägypten kommuniziert zu haben.
The first part of this thesis offers a theoretical foundation for the analysis of Tolkien- texts. Each of the three fields of interest, nostalgia, utopia, and the pastoral tradition, are introduced in separate chapters. Special attention is given to the interrelations of the three fields. Their history, meaning, and functions are shortly elaborated and definitions applicable to their occurrences in fantasy texts are reached. In doing so, new categories and terms are proposed that enable a detailed analysis of the nostalgic, pastoral, and utopian properties of Tolkien- works. As nostalgia and utopia are important ingredients of pastoral writing, they are each introduced first and are finally related to a definition of the pastoral. The main part of this thesis applies the definitions and insights reached in the theoretical chapters to Tolkien- The Lord of the Rings and The Hobbit. This part is divided into three main sections. Again, the order of the chapters follows the line of argumentation. The first section contains the analysis of pastoral depictions in the two texts. Given the separation of the pastoral into different categories, which were outlined in the theoretical part, the chapters examine bucolic and georgic pastoral creatures and landscapes before turning to non-pastoral depictions, which are sub-divided into the antipastoral and the unpastoral. A separate chapter looks at the bucolic and georgic pastoral- positions and functions in the primary texts. This analysis is followed by a chapter on men- special position in Tolkien- mythology, as their depiction reveals their potential to be both pastoral and antipastoral. The second section of the analytical part is concerned with the role of nostalgia within pastoral culture. The focus is laid on the meaning and function of the different kinds of nostalgia, which were defined in the theoretical part, detectable in bucolic and georgic pastoral cultures. Finally, the analysis turns to the utopian potential of Tolkien- mythology. Again, the focus lies on the pastoral and non-pastoral creatures. Their utopian and dystopian visions are presented and contrasted. This way, different kinds of utopian vision are detected and set in relation to the overall dystopian fate of Tolkien- fictional universe. Drawing on the results of this thesis and on Terry Gifford- ecocritical work, the final chapter argues that Tolkien- texts can be defined as modern pastorals. The connection between Tolkien- work and pastoral literature made explicit in the analysis is thus cemented in generic terms. The conclusion presents a summary of the central findings of this thesis and introduces questions for further study.
Die Arbeit untersucht den Zusammenhang zwischen dem sprachlichen Zeichen und den Begriffen. Das Lexikon mit seinen Bedeutungsdefinitionen ist der augenscheinlichste Schnittpunkt zwischen dem Sprach- und dem Begriffssystem. Die Bedeutungsdefinition wird dabei als ein empirisches Datum betrachtet, das formal beschrieben werden kann. Die Bedeutungsanalyse überführt die Bedeutungsdefinition in eine komplexe Ordnungsstruktur. Die Methode wurde aus verschiedenen Begriffstheorien entwickelt, hauptsächlich aus Raili Kauppis Begriffstheorie und der Formalen Begriffsanalyse. Im Ergebnis erhält man aus den Bedeutungen eines Lexikons ein komplexes System von ein- bis n-stelligen Begriffen. Dieses Begriffssystem unterscheidet sich von den bekannten Semantischen Netzen durch einen völligen Verzicht auf von außen auf das System projizierte Relationen, wie den sogenannten semantischen Relationen. Die einzigen Relationen in diesem System sind begrifflich.
A phenomenon of recent decades is that digital marketplaces on the Internet are establishing themselves for a wide variety of products and services. Recently, it has become possible for private individuals to invest in young and innovative companies (so-called "start-ups"). Via Internet portals, potential investors can examine various start-ups and then directly invest in their chosen start-up. In return, investors receive a share in the firm- profit, while companies can use the raised capital to finance their projects. This new way of financing is called "Equity Crowdfunding" (ECF) or "Crowdinvesting". The aim of this dissertation is to provide empirical findings about the characteristics of ECF. In particular, the question of whether ECF is able to overcome geographic barriers, the interdependence of ECF and capital structure, and the risk of failure for funded start-ups and their chances of receiving follow-up funding by venture capitalists or business angels will be analyzed. The results of the first part of this dissertation show that investors in ECF prefer local companies. In particular, investors who invest larger amounts have a stronger tendency to invest in local start-ups. The second part of the dissertation provides first indications of the interdependencies between capital structure and ECF. The analysis makes clear that the capital structure is not a determinant for undertaking an ECF campaign. The third part of the dissertation analyzes the success of companies financed by ECF in a country comparison. The results show that after a successful ECF campaign German companies have a higher chance of receiving follow-up funding by venture capitalists compared to British companies. The probability of survival, however, is slightly lower for German companies. The results provide relevant implications for theory and practice. The existing literature in the area of entrepreneurial finance will be extended by insights into investor behavior, additions to the capital structure theory and a country comparison in ECF. In addition, implications are provided for various actors in practice.
Entrepreneurship is a process of discovering and exploiting opportunities, during which two crucial milestones emerge: in the very beginning when entrepreneurs start their businesses, and in the end when they determine the future of the business. This dissertation examines the establishment and exit of newly created as well as of acquired firms, in particular the behavior and performance of entrepreneurs at these two important stages of entrepreneurship. The first part of the dissertation investigates the impact of characteristics at the individual and at the firm level on an entrepreneur- selection of entry modes across new venture start-up and business takeover. The second part of the dissertation compares firm performance across different entrepreneurship entry modes and then examines management succession issues that family firm owners have to confront. This study has four main findings. First, previous work experience in small firms, same sector experience, and management experience affect an entrepreneur- choice of entry modes. Second, the choice of entry mode for hybrid entrepreneurs is associated with their characteristics, such as occupational experience, level of education, and gender, as well as with the characteristics of their firms, such as location. Third, business takeovers survive longer than new venture start-ups, and both entry modes have different survival determinants. Fourth, the family firm- decision of recruiting a family or a nonfamily manager is not only determined by a manager- abilities, but also by the relationship between the firm- economic and non-economic goals and the measurability of these goals. The findings of this study extend our knowledge on entrepreneurship entry modes by showing that new venture start-ups and business takeovers are two distinct entrepreneurship entry modes in terms of their founders" profiles, their survival rates and survival determinants. Moreover, this study contributes to the literature on top management hiring in family firms: it establishes family firm- non-economic goals as another factor that impacts the family firm- hiring decision between a family and a nonfamily manager.