2,134 research outputs found

    Generalized Additive Modelling of Mixed Distribution Markov Models with Application to Melbourne's Rainfall.

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    We consider modelling time series using a generalized additive model with first- order Markov structure and mixed transition density having a discrete component at zero and a continuous component with positive sample space. Such models have application, for example, in modelling daily occurrence and intensity of rainfall, and in modelling the number and size of insurance claims. We show how these methods extend the usual sinusoidal seasonal assumption in standard chain- dependent models by assuming a general smooth pattern of occurrence and intensity over time. These models can be fitted using standard statistical software. The methods of Grunwald and Jones (1998) can be used to combine these separate occurrence and intensity models into a single model for amount. We use 36 years of rainfall data from Melbourne, Australia, as a vehicle of illustration, and use the models to investigate the effect of the El Nino phenomenon on Melbourne's rainfall.Time Series ; Econometric Models ; Mixed Distribution Markov Models

    Andrzej Nadolski und Grunwald. Erinnerungen

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    The theme of the publication refers to the author’s memories associated with Professor Andrzej Nadolski for his investigation into the Battle of Tannenberg (Grunwald, 1410). With reference to his personal memories and surviving correspondence, the author wishes to give a picture of the inspiring relationship with the famous arms specialist, archaeologist and historian. This began towards the end of the 1970’s and lasted until the death of Nadolski in 1993. The connecting element of this friendly and scientific relationship was the problematic nature of the Battle of Tannenberg from which a strong fascination emerged resulting in the publication of several books and essays by Nadolski and the author

    Armia króla Władysława Jagiełły w drodze pod Grunwald

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    For years, the route followed by the Polish-Lithuanian army on its way to Grunwald in 1410 has been arousing controversy as the sources do not allow for its clear-cut determination.From the moment when Jagiello’s army crossed the Vistula river at Czerwińsk (3rd July) until it reached the fields of Grunwald only some of its halting-places are known. The passagefrom Dąbrówno to the battlefield covered on the 15th of July is given special attention in the historians’ discussion. S. Ekdahl claims that the Polish-Lithuanian army pitched a camp tothe north of Dąbrówno and stormed the town from that direction. Other historians incline towards the opinion that the army’s camp was situated to the south of Dabrówno, near the village Kalbornia. As a consequence they assume that the town was also attacked from the south. A few routes of the march from Dąbrówno to the site where the battle was supposed to take place were suggested in the present literature. According to S. Ekdahl, Jagiello’s army moved from the camp situated to the north of Dąbrówno to the east through Samin to stop near Grunwald. In the newest monograph of the 1409-1411 war it was stated that Jagiello’s army got to Grunwald by a route running through previously captured Dąbrówno and later on through Samin to Grunwald Jagiello’s army, after breaking up its camp at Kolbornia, moved east to turn north after a few kilometres and continue its march through Osiekowo, Łodgowo. A. Nadolski did not agree with those assumptions as he believed that from the camp in Dąbrówno the army headed for Turowo and then marched north towards Mielno circumventing the Ulnowo Lake from the east. The author of the article propounds a hypothesis that Jagiello’s army could act both to the north and south of Dąbrówno where the main camp of the Polish-Lithuanian forces was situated. He also considers that the conception of S. Kuczyński criticised by A. Nadolski and S. Ekdahl concerning the final phase of the march should still be taken into consideration as very probable. The author believes that there was no serious discussion on the Grunwald campaign during the last twenty years in Poland. Both the last monograph of the 1409–1411war and this article show that a new view on that topic is still possible

    C. de Grunwald. Société et civilisation russes au XIXe siècle

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    Tintant Denise. C. de Grunwald. Société et civilisation russes au XIXe siècle. In: Revue de l'histoire des religions, tome 191, n°2, 1977. p. 238

    Constantin de Grunwald. La campagne de Russie, 1812, 1963

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    Godechot Jacques. Constantin de Grunwald. La campagne de Russie, 1812, 1963. In: Annales historiques de la Révolution française, n°183, 1966. Saint-Just. p. 140

    Constantin de Grunwald. La campagne de Russie, 1812, 1963

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    Godechot Jacques. Constantin de Grunwald. La campagne de Russie, 1812, 1963. In: Annales historiques de la Révolution française, n°183, 1966. Saint-Just. p. 140

    C. de Grunwald. Société et civilisation russes au XIXe siècle

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    Tintant Denise. C. de Grunwald. Société et civilisation russes au XIXe siècle. In: Revue de l'histoire des religions, tome 191, n°2, 1977. p. 238

    A Generalization of the Grunwald-Wang Theorem

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    The Grunwald-Wang theorem for nth powers states that a rational number a is an nth power in ℚp for almost every prime p if and only if either a is a perfect nth power in rationals or 8 | n and a = 2^(n/2) b^n for some rational b. In this talk, we will present a generalization of a Grunwald-Wang theorem, from a single integer a to a subset A of rational numbers. More specifically, let q be the smallest prime dividing the natural number n ≥ 2. A finite subset A of rationals with cardinality ≥ q contains an nth power in ℚp for almost every prime p if and only if either A contains an nth power in rationals or n is even and A is a two-element subset of a certain form. If time permits, we will also show that our generalization is optimal, i.e., for every n ≥ 2, there are infinitely many subsets A of rationals of cardinality q + 1 that contain an nth power in ℚp for almost every prime p but neither contain a perfect nth power in rationals nor contain a two-element subset of the above kind when n is even

    Donald W. Baerresen, Martin Carnoy et Joseph Grunwald, Latin American trade patterns

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    Alegrett S. Donald W. Baerresen, Martin Carnoy et Joseph Grunwald, Latin American trade patterns. In: Tiers-Monde, tome 8, n°32, 1967. L'Espagne à l'heure du développement. p. 1195
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