Carole Bernard , Rodrigue Kazzi , Steven Vanduffel
{"title":"Corrigendum and addendum to “Range Value-at-Risk bounds for unimodal distributions under partial information” [Insurance: Math. Econ. 94 (2020) 9–24]","authors":"Carole Bernard , Rodrigue Kazzi , Steven Vanduffel","doi":"10.1016/j.insmatheco.2023.06.004","DOIUrl":null,"url":null,"abstract":"<div><p>In Section 2 of <span>Bernard et al. (2020)</span>, we study bounds on Range Value-at-Risk under the assumption of non-negative risk. However, Proposition 3 is erroneous, and hence Theorems 3, 4, and 5 and Corollary 5 are no longer valid. In this corrigendum, we provide a direct replacement of these theorems and corollary. We note that these results provide generalizations in that there is no longer a constraint on the probability level <em>α</em>.</p></div>","PeriodicalId":54974,"journal":{"name":"Insurance Mathematics & Economics","volume":"112 ","pages":"Pages 110-119"},"PeriodicalIF":1.9000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Insurance Mathematics & Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167668723000598","RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
In Section 2 of Bernard et al. (2020), we study bounds on Range Value-at-Risk under the assumption of non-negative risk. However, Proposition 3 is erroneous, and hence Theorems 3, 4, and 5 and Corollary 5 are no longer valid. In this corrigendum, we provide a direct replacement of these theorems and corollary. We note that these results provide generalizations in that there is no longer a constraint on the probability level α.
期刊介绍:
Insurance: Mathematics and Economics publishes leading research spanning all fields of actuarial science research. It appears six times per year and is the largest journal in actuarial science research around the world.
Insurance: Mathematics and Economics is an international academic journal that aims to strengthen the communication between individuals and groups who develop and apply research results in actuarial science. The journal feels a particular obligation to facilitate closer cooperation between those who conduct research in insurance mathematics and quantitative insurance economics, and practicing actuaries who are interested in the implementation of the results. To this purpose, Insurance: Mathematics and Economics publishes high-quality articles of broad international interest, concerned with either the theory of insurance mathematics and quantitative insurance economics or the inventive application of it, including empirical or experimental results. Articles that combine several of these aspects are particularly considered.