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....
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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MDPI
2020
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/7510 |
| _version_ | 1789406730873995264 |
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| author | Gálvez Rodríguez, José Fulgencio Sánchez Granero, Miguel Ángel |
| author_facet | Gálvez Rodríguez, José Fulgencio Sánchez Granero, Miguel Ángel |
| author_sort | Gálvez Rodríguez, José Fulgencio |
| collection | DSpace |
| description | 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. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-7510 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-75102023-04-12T19:39:34Z The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space Gálvez Rodríguez, José Fulgencio Sánchez Granero, Miguel Ángel probability measure σ-algebra Borel σ-algebra distribution function cumulative distribution function sample 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. 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. 2020-01-17T08:43:18Z 2020-01-17T08:43:18Z 2019-09-18 info:eu-repo/semantics/article 2227-7390 http://hdl.handle.net/10835/7510 en https://www.mdpi.com/2227-7390/7/9/864 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | probability measure σ-algebra Borel σ-algebra distribution function cumulative distribution function sample linearly ordered topological space Gálvez Rodríguez, José Fulgencio Sánchez Granero, Miguel Ángel The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space |
| title | The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space |
| title_full | The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space |
| title_fullStr | The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space |
| title_full_unstemmed | The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space |
| title_short | The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space |
| title_sort | distribution function of a probability measure on a linearly ordered topological space |
| topic | probability measure σ-algebra Borel σ-algebra distribution function cumulative distribution function sample linearly ordered topological space |
| url | http://hdl.handle.net/10835/7510 |
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