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Some stochastic comparisons of lower records and lower record spacings
Published online by Cambridge University Press: 26 January 2022
Abstract
We obtain here sufficient conditions for increasing concave order and location independent more riskier order of lower record values based on stochastic comparisons of minimum order statistics. We further discuss stochastic orderings of lower record spacings. In particular, we show that increasing convex order of adjacent spacings between minimum order statistics is a sufficient condition for increasing convex order of adjacent spacings of their lower records.
Keywords
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 37 , Issue 1 , January 2023 , pp. 192 - 205
- Copyright
- Copyright © The Author(s), 2022. Published by Cambridge University Press