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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Hindawi Limited
2021
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oai:doaj.org-article:015fb47ce43844dc8bbb11a36582581c2021-11-29T00:55:56ZOn the Generalized Decreasing Mean Time to Failure or Replaced Ordering1687-527310.1155/2021/7508812https://doaj.org/article/015fb47ce43844dc8bbb11a36582581c2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7508812https://doaj.org/toc/1687-5273In 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.Haiyan WangDiantong KangLei YanHindawi LimitedarticleComputer applications to medicine. Medical informaticsR858-859.7Neurosciences. Biological psychiatry. NeuropsychiatryRC321-571ENComputational Intelligence and Neuroscience, Vol 2021 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
Computer applications to medicine. Medical informatics R858-859.7 Neurosciences. Biological psychiatry. Neuropsychiatry RC321-571 |
| spellingShingle |
Computer applications to medicine. Medical informatics R858-859.7 Neurosciences. Biological psychiatry. Neuropsychiatry RC321-571 Haiyan Wang Diantong Kang Lei Yan On the Generalized Decreasing Mean Time to Failure or Replaced Ordering |
| 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. |
| format |
article |
| author |
Haiyan Wang Diantong Kang Lei Yan |
| author_facet |
Haiyan Wang Diantong Kang Lei Yan |
| author_sort |
Haiyan Wang |
| title |
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_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_sort |
on the generalized decreasing mean time to failure or replaced ordering |
| publisher |
Hindawi Limited |
| publishDate |
2021 |
| url |
https://doaj.org/article/015fb47ce43844dc8bbb11a36582581c |
| work_keys_str_mv |
AT haiyanwang onthegeneralizeddecreasingmeantimetofailureorreplacedordering AT diantongkang onthegeneralizeddecreasingmeantimetofailureorreplacedordering AT leiyan onthegeneralizeddecreasingmeantimetofailureorreplacedordering |
| _version_ |
1718407686762004480 |