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- W4308803513 abstract "Abstract Let $V_{(r,n,tilde {m}_n,k)}^{(p)}$ and $W_{(r,n,tilde {m}_n,k)}^{(p)}$ be the $p$ -spacings of generalized order statistics based on absolutely continuous distribution functions $F$ and $G$ , respectively. Imposing some conditions on $F$ and $G$ and assuming that $m_1=cdots =m_{n-1}$ , Hu and Zhuang (2006. Stochastic orderings between p -spacings of generalized order statistics from two samples. Probability in the Engineering and Informational Sciences 20: 475) established $V_{(r,n,tilde {m}_n,k)}^{(p)} leq _{{rm hr}} W_{(r,n,tilde {m}_n,k)}^{(p)}$ for $p=1$ and left the case $pgeq 2$ as an open problem. In this article, we not only resolve it but also give the result for unequal $m_i$ 's. It is worth mentioning that this problem has not been proved even for ordinary order statistics so far." @default.
- W4308803513 created "2022-11-15" @default.
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- W4308803513 date "2022-11-11" @default.
- W4308803513 modified "2023-10-18" @default.
- W4308803513 title "Resolving an open problem on the hazard rate ordering of<i>p</i>-spacings" @default.
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- W4308803513 doi "https://doi.org/10.1017/s0269964822000377" @default.
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