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Generalization of the pairwise stochastic precedence order to the sequence of random variablesPublished in Cambridge University Press
2021
Volume: 35
Issue: 3
Pages: 699 - 707
We discuss a new stochastic ordering for the sequence of independent random variables. It generalizes the stochastic precedence (SP) order that is defined for two random variables to the case n > 2. All conventional stochastic orders are transitive, whereas the SP order is not. Therefore, a new approach to compare the sequence of random variables had to be developed that resulted in the notion of the sequential precedence order. A sufficient condition for this order is derived and some examples are considered. Copyright © Cambridge University Press 2020.
Topics: Stochastic ordering (63)%63% related to the paper, Random variable (54)%54% related to the paper and Sequence (51)%51% related to the paper
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Postprint Version
Content may be subject to copyright,Check LicenseOriginally Published at 10.1017/S0269964820000145Originally Published at 10.1017/S0269964820000145
About the journal
| Journal | Data powered by TypesetProbability in the Engineering and Informational Sciences |
|---|---|
| Publisher | Data powered by TypesetCambridge University Press |
| ISSN | 02699648 |
| Open Access | No |
Authors (1)
Nil Kamal Hazra- Department of Mathematics IIT Jodhpur
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