On the Generalized Decreasing Mean Time to Failure or Replaced Ordering

In this paper, we establish two new stochastic orders, DMTFR (decreasing mean time to failure or replaced) and GDMTFR (generalized decreasing mean time to failure or replaced), and mainly investigate properties of the GDMTFR order. Some characterizations of the GDMTFR order are given. The implicatio...

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Detalles Bibliográficos
Autores principales: Wang, Haiyan, Kang, Diantong, Yan, Lei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8608545/
https://www.ncbi.nlm.nih.gov/pubmed/34819952
http://dx.doi.org/10.1155/2021/7508812
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author Wang, Haiyan
Kang, Diantong
Yan, Lei
author_facet Wang, Haiyan
Kang, Diantong
Yan, Lei
author_sort Wang, Haiyan
collection PubMed
description In this paper, we establish two new stochastic orders, DMTFR (decreasing mean time to failure or replaced) and GDMTFR (generalized decreasing mean time to failure or replaced), and mainly investigate properties of the GDMTFR order. Some characterizations of the GDMTFR order are given. The implication relationships between the DMTFR and the GDMTFR orders are considered. Also, closure and reversed closure properties of the new order GDMTFR are investigated. Meanwhile, several illustrative examples that meet the GDMTFR order are shown as well.
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spelling pubmed-86085452021-11-23 On the Generalized Decreasing Mean Time to Failure or Replaced Ordering Wang, Haiyan Kang, Diantong Yan, Lei Comput Intell Neurosci Research Article In this paper, we establish two new stochastic orders, DMTFR (decreasing mean time to failure or replaced) and GDMTFR (generalized decreasing mean time to failure or replaced), and mainly investigate properties of the GDMTFR order. Some characterizations of the GDMTFR order are given. The implication relationships between the DMTFR and the GDMTFR orders are considered. Also, closure and reversed closure properties of the new order GDMTFR are investigated. Meanwhile, several illustrative examples that meet the GDMTFR order are shown as well. Hindawi 2021-11-15 /pmc/articles/PMC8608545/ /pubmed/34819952 http://dx.doi.org/10.1155/2021/7508812 Text en Copyright © 2021 Haiyan Wang et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wang, Haiyan
Kang, Diantong
Yan, Lei
On the Generalized Decreasing Mean Time to Failure or Replaced Ordering
title On the Generalized Decreasing Mean Time to Failure or Replaced Ordering
title_full On the Generalized Decreasing Mean Time to Failure or Replaced Ordering
title_fullStr On the Generalized Decreasing Mean Time to Failure or Replaced Ordering
title_full_unstemmed On the Generalized Decreasing Mean Time to Failure or Replaced Ordering
title_short On the Generalized Decreasing Mean Time to Failure or Replaced Ordering
title_sort on the generalized decreasing mean time to failure or replaced ordering
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8608545/
https://www.ncbi.nlm.nih.gov/pubmed/34819952
http://dx.doi.org/10.1155/2021/7508812
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