Compactness and sequential compactness in spaces of measures

DOI10.1007/BF00538864zbMath0202.04904OpenAlexW1965411460MaRDI QIDQ5600947

Peter Gaenssler

Publication date: 1971

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00538864

Related Items

Large deviations for the Fleming-Viot process with neutral mutation and selection. II. ⋮ Ideals of null sets of set functions ⋮ Crisp monetary acts in multiple-priors models of decision under ambiguity ⋮ Cauchy convergent sequences of regular measures with values in a topological group ⋮ Large and moderate deviations for the empirical measures of an exchangeable sequence ⋮ Cauchy convergent sequences of regular measures with values in a topological group ⋮ On compactness and extreme points of some sets of quasi-measures and measures. IV ⋮ On consistent hypothesis testing ⋮ Uncertainty averse preferences ⋮ Large deviations for empirical measures of Markov chains ⋮ On a generalization of the Glivenko-Cantelli theorem ⋮ On compactness and convergence in spaces of measures ⋮ On dynamic programming: Compactness of the space of policies ⋮ Essential stability of the alpha cores of finite games with incomplete information ⋮ Infinitely subadditive capacities as upper envelopes of measures ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Statistical experiments and their conical measures ⋮ Topological aspects of Doeblin decompositions for Markov chains ⋮ Moderate deviations for nonhomogeneous Markov chains ⋮ Exponential approximations in completely regular topological spaces and extensions of Sanov's theorem ⋮ Disputed lands ⋮ Measures on topological spaces ⋮ Exponential tightness can fail in the strong topology ⋮ Pointwise sequential compactness and weak compactness in spaces of contents ⋮ Neyman-Pearson testing under interval probability by globally least favorable pairs: Reviewing Huber-Strassen theory and extending it to general interval probability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topology and measure
• Asymptotic normality
• A Necessary and Sufficient Condition for the Existence of Consistent Estimates
• On the existence of consistent estimates and tests
• Weak Compactness of Measures
• [https://portal.mardi4nfdi.de/wiki/Publication:5578654 Eine parameterfreie Theorie der ung�nstigsten Verteilungen f�r das Testen von Hypothesen]
• ON THE VITALI-HAHN-SAKS AND NIKODÝM THEOREMS
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)