The distribution function of a probability measure on the Dedekind-Macneille completion

DOI10.1016/J.TOPOL.2019.107010zbMath1453.60007OpenAlexW2995699252WikidataQ126557873 ScholiaQ126557873MaRDI QIDQ1985640

J. F. Gálvez-Rodríguez, Miguel Angel Sánchez-Granero

Publication date: 7 April 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2019.107010

zbMATH Keywords

probabilitymeasuredistribution functioncutcumulative distribution functionsample\( \sigma \)-algebraBorel \(\sigma \)-algebraDedekind-Macneille completion

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Probability distributions: general theory (60E05) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Cites Work

• Order-compactifications of totally ordered spaces: Revisited
• Generating a probability measure on the completion of a fractal structure
• Ordered sets and compact spaces
• Partially Ordered Sets
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