Random variable functions used in hydrology

In this work, expressions of the cumulative distribution function of Y X, Y/X and X/(X + Y ) for continuous dependent random variables with supported on a unbounded and bounded interval are derived. The dependence approach is based on copula functions. Additionally, the methodology is applied to rea...

Full description

Bibliographic Details
Main Authors: Cira E. G. Otiniano, Yuri S. Maluf
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2019-12-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2626
_version_ 1818505936722984960
author Cira E. G. Otiniano
Yuri S. Maluf
author_facet Cira E. G. Otiniano
Yuri S. Maluf
author_sort Cira E. G. Otiniano
collection DOAJ
description In this work, expressions of the cumulative distribution function of Y X, Y/X and X/(X + Y ) for continuous dependent random variables with supported on a unbounded and bounded interval are derived. The dependence approach is based on copula functions. Additionally, the methodology is applied to real data on hydrology.
first_indexed 2024-12-10T21:57:38Z
format Article
id doaj.art-9ceaf657df5c477bb96f3cb62fc9bcb7
institution Directory Open Access Journal
issn 2411-1783
2411-1783
language Spanish
last_indexed 2024-12-10T21:57:38Z
publishDate 2019-12-01
publisher Universidad Nacional de Trujillo
record_format Article
series Selecciones Matemáticas
spelling doaj.art-9ceaf657df5c477bb96f3cb62fc9bcb72022-12-22T01:32:00ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832019-12-0160217818810.17268/sel.mat.2019.02.04Random variable functions used in hydrologyCira E. G. Otiniano0Yuri S. Maluf1Departamento de Estatística, UnB, 70910-900 Brasília, DF, BrazilDepartamento de Estatística, UnB, 70910-900 Brasília, DF, BrazilIn this work, expressions of the cumulative distribution function of Y X, Y/X and X/(X + Y ) for continuous dependent random variables with supported on a unbounded and bounded interval are derived. The dependence approach is based on copula functions. Additionally, the methodology is applied to real data on hydrology.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2626productratiocopulahydrology
spellingShingle Cira E. G. Otiniano
Yuri S. Maluf
Random variable functions used in hydrology
Selecciones Matemáticas
product
ratio
copula
hydrology
title Random variable functions used in hydrology
title_full Random variable functions used in hydrology
title_fullStr Random variable functions used in hydrology
title_full_unstemmed Random variable functions used in hydrology
title_short Random variable functions used in hydrology
title_sort random variable functions used in hydrology
topic product
ratio
copula
hydrology
url http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2626
work_keys_str_mv AT ciraegotiniano randomvariablefunctionsusedinhydrology
AT yurismaluf randomvariablefunctionsusedinhydrology