Some stochastic comparisons of lower records and lower record spacings

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URI: http://hdl.handle.net/10498/38355

DOI: 10.1017/S026996482100053X

ISSN: 1469-8951

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Author/s
Balakrishnan, Narayanaswamy; Castaño Martínez, AntoniaAuthority UCA; Sordo Díaz, Miguel ÁngelAuthority UCA
Date
2023
Department
Estadística e Investigación Operativa
Source
Probability in the Engineering and Informational Sciences , Vol. 37 , n. 1 , 2023 , pp. 192 - 205
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.
Subjects
Increasing concave order; Location independent riskier order; Lower record spacings; Lower record values; Order statistics
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