 The restrictiveness of the hazard rate order and the moments of the maximal coordinate of a random vector uniformly distributed on the probability n-simplexSela Fried Statistics & Probability Letters, 2022, vol. 185, issue C Abstract: Continuing the work of Fried (2021) who defined the restrictiveness of stochastic orders and calculated it for the usual stochastic order and for the likelihood ratio order, we calculate the restrictiveness of the hazard rate order. Inspired by the works of Onn and Weissman (2011) and Weissman (2011), we propose an application of the restrictiveness of stochastic orders in randomness testing. We then apply the inductive dimension reduction technique, that proved useful in obtaining the restrictiveness results, and provide an alternative proof for Whitworth’s formula, which we then use to derive the moments of the maximal coordinate of a random vector that is uniformly distributed on the probability n-simplex. Keywords: Hazard rate order; Probability simplex; Dilcher’s formula; Whitworth’s formula; Randomness testing (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:185:y:2022:i:c:s0167715222000311 Ordering information: This journal article can be ordered from DOI: 10.1016/j.spl.2022.109414 Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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