Da: BMV Bloor, Toronto, ON, Canada
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Editore: Springer Nature Switzerland AG, CH, 2020
ISBN 10: 3030384373 ISBN 13: 9783030384371
Lingua: Inglese
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Aggiungi al carrelloPaperback. Condizione: New. 2020 ed. This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.
Condizione: New. pp. 147.
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Aggiungi al carrelloPAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.
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Aggiungi al carrelloPaperback. Condizione: Brand New. 164 pages. 9.25x6.10x0.47 inches. In Stock.
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Editore: Springer Nature Switzerland AG, CH, 2021
ISBN 10: 3030694844 ISBN 13: 9783030694845
Lingua: Inglese
Da: Rarewaves.com USA, London, LONDO, Regno Unito
EUR 49,72
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Aggiungi al carrelloPaperback. Condizione: New. 1st ed. 2021. This SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains. The authors study alpha-permanental processes that are positive infinitely divisible processes determined by the potential density of a transient Markov process. When the Markov process is symmetric, a 1/2-permanental process is the square of a Gaussian process. Permanental processes are related by the Dynkin isomorphism theorem to the total accumulated local time of the Markov process when the potential density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are also related to chi square processes and loop soups.The book appeals to researchers and advanced graduate students interested in stochastic processes, infinitely divisible processes and Markov chains.
Editore: Springer International Publishing AG, CH, 2016
ISBN 10: 3319468219 ISBN 13: 9783319468211
Lingua: Inglese
Da: Rarewaves.com USA, London, LONDO, Regno Unito
EUR 52,65
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Aggiungi al carrelloPaperback. Condizione: New. 1st ed. 2016. The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy's continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-? convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples.
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Da: GreatBookPrices, Columbia, MD, U.S.A.
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Da: GreatBookPrices, Columbia, MD, U.S.A.
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