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The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Sep 2019Embargo end date: 01 Jan 2019 Spain English Publisher:MDPI AGJournal:Mathematics, volume 7, page 864 (eissn: 2227-7390, Copyright policy )
Authors: José Fulgencio Gálvez-Rodríguez; Miguel Ángel Sánchez-Granero;

doi: 10.3390/math7090864 , 10.48550/arxiv.1904.05616

arXiv: 1904.05616

handle: 10835/7510

The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space

Abstract

In this paper, we describe a theory of a cumulative distribution function on a space with an order from a probability measure defined in this space. This distribution function plays a similar role to that played in the classical case. Moreover, we define its pseudo-inverse and study its properties. Those properties will allow us to generate samples of a distribution and give us the chance to calculate integrals with respect to the related probability measure.

Country
Spain
Related Organizations
Keywords

probability, 60E05, 60B11, linearly ordered topological space, Probability (math.PR), General Topology (math.GN), Borel σ-algebra, measure, σ-algebra, sample, QA1-939, FOS: Mathematics, distribution function, cumulative distribution function, Mathematics, Mathematics - Probability, Mathematics - General Topology

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    		 2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold