Tegul funkcija φ(s) s=σ+it, yra apibrėžta srityje σ>α+β+1 polinomine Oilerio sandauga. Magistro darbe įrodyta diskreti ribinė teorema analizinių funkcijų erdvėje H(D), funkcijai φ(s). Tarkime, kad h>0 toks fiksuotas skaičius, kad kuriems nors sveikiems k≠0 skaičius exp{2πk/h} yra racionalus, o B(H(D)) yra erdvės H(D) Borelio aibių klasė. Darbe įrodyta, kad tikimybinis matas silpnai konverguoja į vieno H(D) reikšmio atsitiktinio elemento skirstinį. / For σ>α+β+1, define the function φ(s), s=σ+it, by a polynomial Euler product. In our work, a discrete limit theorem in the space H(D) of analytic functions for the function φ(s) is proved. Suppose that h>0 is a fixed number such that for some integers k≠0 the number exp{2πk/h} is racional, and denote by B(H(D)) the class of Borel sets of the space H(D). Then we prove that the probability measure converges weakly to the distribution of one H(D)- valued random element.

Cette thèse contient deux parties différentes. Dans la première partie, nous nous sommes intéressés aux familles exponentielles naturelles cubiques dont la fonction variance est un polynôme de degré inférieur ou égal à 3. Nous donnons trois caractérisations de ces familles en se basant sur une approche Bayesienne. L’une de ces caractérisations repose sur le fait que la fonction cumulante vérifie une équation différentielle. La deuxième partie de notre travail est consacrée aux conséquences de la propriété d’indépendance de type « Matsumoto-Yor » qui a été développée par Koudou et Vallois. Cette propriété fait intervenir la famille de lois de Kummer de type 2 et les lois Beta généralisées. En se basant sur la méthode de conditionnement et sur la méthode de rejet, nous donnons des réalisations presque sûre de ces distributions de probabilités. D’autre part, nous caractérisons la famille de lois de Kummer de type 2 (resp. les lois Beta généralisées) par une équation algébrique impliquant des lois gamma (resp. les lois Beta) / This thesis has two different parts. In the first part we are interested in the real cubic natural exponential families such that their variance function is a polynomial of degree less than or equal to 3. We give three characterizations of such families using a Bayesian approach. One of these characterizations is based on a differential equation verified by the cumulant function. In a second part we study in depth the independence property of the type “Matsumoto-Yor” that was developed by Koudou and Vallois. This property involves the Kummer distribution of type 2 and the generalized beta ones. Using the conditioning and the rejection method, we give almost sure realization of these distributions. We characterize the family of Kummer distribution of type 2 with an algebraic equation involving the gamma ones. We proceed similarly with the generalized beta distributions

(anglicky): In this thesis, two representative works of two post-war schools of Japanese detective fiction are analysed based on the knowledge of modern narratology. Two mentioned schools are so called social school of detective fiction (shakaiha 社会派), which appeared at the beginning of 60ties, and new authentic school of detective fiction (shin honkakuha 新本格派), which appeared at the beginning of 80ties. This thesis focuses on a theoretical understanding of the term "detective fiction", it describes the development of the detective genre in post-war Japan while focusing on the debates on "authentic" and "inauthentic" detective fiction and describes typical features of two previously mentioned schools. The by using a theoretical apparat suitable for analysing works of very schematic detective genre, two works - Points and lines (Ten to sen 点と線, 1958) written by Matsumoto Seichō 松本清張 (1909-1992) and Tokyo Zodiac Murders (Senseijutu satsujin jiken 占星術殺人事件, 1981) written by Shimada Sōji 島田荘司 (1948 - ) - are analysed. Analyses focus on composition schemes of both works and on the example translated from original works, existence or absence of elements typical for both schools are demonstrated while a different usage of these elements is showed.