Projective Limit Random Probabilities on Polish Spaces

A pivotal problem in Bayesian nonparametrics is the construction of prior distributions on the space M(V) of probability measures on a given domain V. In principle, such distributions on the infinite-dimensional space M(V) can be constructed from their finite-dimensional marginals---the most prominent example being the construction of the Dirichlet process from finite-dimensional Dirichlet distributions. This approach is both intuitive and applicable to the construction of arbitrary distributions on M(V), but also hamstrung by a number of technical difficulties. We show how these difficulties can be resolved if the domain V is a Polish topological space, and give a representation theorem directly applicable to the construction of any probability distribution on M(V) whose first moment measure is well-defined. The proof draws on a projective limit theorem of Bochner, and on properties of set functions on Polish spaces to establish countable additivity of the resulting random probabilities.

Writing Home : Martin Walser's Ein fliehendes Pferd as Anti-Tourist Literature

Wilkinson, Jane, 'Writing Home: Martin Walser's Ein fliehendes Pferd as Anti-Tourist Literature', Journal of Tourism and Cultural Change (2006) 4(3) pp.001-017 RAE2008

Transformation from natural (thermal contraction) to anthropogenic (resource exploitation) depressions in the Krotoszyn-Koźmin-Raszków area (Polish Lowland)

An exceptional concentration of almost identical depressions exist near the small towns of Krotoszyn, Koźmin and Raszków (southern Wielkopolska). Their origin is, however, different from that of the typical post glacial-relief: they are Man-made enlarged thermal-contraction structures that developed at the very end of the Middle Polish (Warthian) glaciation and during the North Polish (Weichselian) glaciation, most probably under periglacial conditions.

Wilno-Vilnius. Polskie i litewskie reprezentacje miasta po roku 1990

Wydział Filologii Polskiej i Klasycznej: Instytut Filologii Polskiej

Dziecko przedszkolne i wczesnoszkolne wobec literatury i sztuki. Programy, praktyki, propozycje

Wydział Filologii Polskiej i Klasycznej