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Oberseminar Stochastik
RM 10, Raum 711 gr.
Oberseminar Stochastik
Stochastisches Kolloquium; SPIELE-Seminar
Robert-Mayer-Straße 10, Raum 711 groß
Spatial and spatiotemporal volatility models are a class of models designed to capture spatial dependence in the volatility of spatial and spatiotemporal data. Spatial dependence in the volatility may arise due to spatial spillovers among locations; that is, in the case of positive spatial dependence, if two locations are in close proximity, they can exhibit similar volatilities. In this paper, we aim to provide a comprehensive review of the recent literature on spatial and spatiotemporal volatility models. We first briefly review time series volatility models and their multivariate extensions to motivate their spatial and spatiotemporal counterparts. We then review various spatial and spatiotemporal volatility specifications proposed in the literature, along with their underlying motivations and estimation strategies. Through this analysis, we effectively compare all models and provide practical recommendations for their appropriate usage. We highlight possible extensions and conclude by outlining directions for future research.
Oberseminar Stochastische Prozesse und ihre Anwendung
Oberseminar Stochastische Prozesse und ihre Anwendung; SPIELE-Seminar
RM 10, Raum 711 groß
Oberseminar Stochastische Prozesse und ihre Anwendung
Raum 711 groß
Cimat, Mexico
Abstract: In this talk we will introduce the dice process, a probabilistic model that describes the evolution of a collection of particles moving over a graph. We will begin by presenting two motivating examples: the averaging process and a coalescent process with multiple switching. After briefly introducing the notion of partial exchangeability, a symmetry property of certain random structures, we will describe the dice process and explain how it is related to the examples introduced at the beginning. This talk is based on joint work in progress with Adrián González Casanova, Noemi Kurt, and José Luis Pérez.
Oberseminar Stochastische Prozesse und ihre Anwendung
Goethe Universität
Stochastisches Kolloquium
711 groß
Abstract: We aim to represent a combinatorial object, drawn according to a probability distribution, using close to the minimal number of bits of space, while supporting efficient queries directly on the compressed representation. For many distributions over binary trees, we obtain asymptotically instance-optimal space using a single “universal” data structure, “hypersuccinct trees”. For graphs, we show instance-optimal data structures for preferential attachment graphs generated by the Barabási-Albert model.
Oberseminar Stochastische Prozesse und ihre Anwendung
Goethe Universität
Oberseminar Stochastische Prozesse und ihre Anwendung