{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,28]],"date-time":"2026-07-28T07:11:10Z","timestamp":1785222670558,"version":"3.55.0"},"reference-count":41,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,5,14]],"date-time":"2020-05-14T00:00:00Z","timestamp":1589414400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Project of Humanities and Social Sciences Research in Jiangxi Universities in 2018: Risk Control of P2P Network Loan Platform Based on Block Chain Technology","award":["JJ18219"],"award-info":[{"award-number":["JJ18219"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,5,14]]},"abstract":"<jats:p>In this paper, we propose a family of heavy tailed distributions, by incorporating a trigonometric function called the arcsine exponentiated-<jats:italic>X<\/jats:italic> family of distributions. Based on the proposed approach, a three-parameter extension of the Weibull distribution called the arcsine exponentiated-Weibull (ASE-W) distribution is studied in detail. Maximum likelihood is used to estimate the model parameters, and its performance is evaluated by two simulation studies. Actuarial measures including Value at Risk and Tail Value at Risk are derived for the ASE-W distribution. Furthermore, a numerical study of these measures is conducted proving that the proposed ASE-W distribution has a heavier tail than the baseline Weibull distribution. These actuarial measures are also estimated from insurance claims real data for the ASE-W and other competing distributions. The usefulness and flexibility of the proposed model is proved by analyzing a real-life heavy tailed insurance claims data. We construct a modified chi-squared goodness-of-fit test based on the Nikulin\u2013Rao\u2013Robson statistic to verify the validity of the proposed ASE-W model. The modified test shows that the ASE-W model can be used as a good candidate for analyzing heavy tailed insurance claims data.<\/jats:p>","DOI":"10.1155\/2020\/8394815","type":"journal-article","created":{"date-parts":[[2020,5,15]],"date-time":"2020-05-15T00:24:55Z","timestamp":1589502295000},"page":"1-18","source":"Crossref","is-referenced-by-count":27,"title":["The Arcsine Exponentiated-<i>X<\/i> Family: Validation and Insurance Application"],"prefix":"10.1155","volume":"2020","author":[{"given":"Wenjing","family":"He","sequence":"first","affiliation":[{"name":"College of Modern Economics and Management, Jiangxi University of Finance and Economics, Nanchang, Jiangxi, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3782-4081","authenticated-orcid":true,"given":"Zubair","family":"Ahmad","sequence":"additional","affiliation":[{"name":"Department of Statistics, Yazd University, P.O. 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