Article contents
ON STOCHASTIC COMPARISONS OF ORDER STATISTICS FROM HETEROGENEOUS EXPONENTIAL SAMPLES
Published online by Cambridge University Press: 29 October 2019
Abstract
We show that the kth order statistic from a heterogeneous sample of n ≥ k exponential random variables is larger than that from a homogeneous exponential sample in the sense of star ordering, as conjectured by Xu and Balakrishnan [14]. As a consequence, we establish hazard rate ordering for order statistics between heterogeneous and homogeneous exponential samples, resolving an open problem of Pǎltǎnea [11]. Extensions to general spacings are also presented.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 35 , Issue 3 , July 2021 , pp. 532 - 537
- Copyright
- © Cambridge University Press 2019
References
- 3
- Cited by