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

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

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....

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Bibliographic Details
Main Authors: Gálvez Rodríguez, José Fulgencio, Sánchez Granero, Miguel Ángel
Format: info:eu-repo/semantics/article
Language:English
Published: MDPI 2020
Subjects:
probability
measure
σ-algebra
Borel σ-algebra
distribution function
cumulative distribution function
sample
linearly ordered topological space
Online Access:http://hdl.handle.net/10835/7510

Internet

http://hdl.handle.net/10835/7510

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