{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T03:42:39Z","timestamp":1747194159019,"version":"3.40.5"},"reference-count":15,"publisher":"MIT Press","issue":"1","content-domain":{"domain":["www.mitpressjournals.org"],"crossmark-restriction":true},"short-container-title":["Quantitative Science Studies"],"published-print":{"date-parts":[[2020,2]]},"abstract":"<jats:p> We study the array of partial sums, P<jats:sub> X<\/jats:sub>, of a given array X in terms of its h-type indices. Concretely, we show that h( P<jats:sub> X<\/jats:sub>) can be described in terms of the Lorenz curve of the array X and obtain a relation between the sum of the components of P<jats:sub> X<\/jats:sub> and the Gini index of X. Moreover, we obtain sharp lower and upper bounds for h-type indices of P<jats:sub> X<\/jats:sub>. <\/jats:p>","DOI":"10.1162\/qss_a_00005","type":"journal-article","created":{"date-parts":[[2019,8,29]],"date-time":"2019-08-29T18:16:35Z","timestamp":1567102595000},"page":"320-330","update-policy":"https:\/\/doi.org\/10.1162\/mitpressjournals.corrections.policy","source":"Crossref","is-referenced-by-count":2,"title":["<i>h<\/i>-Type indices, partial sums and the majorization order"],"prefix":"10.1162","volume":"1","author":[{"given":"Leo","family":"Egghe","sequence":"first","affiliation":[{"name":"University of Hasselt, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3252-2538","authenticated-orcid":true,"given":"Ronald","family":"Rousseau","sequence":"additional","affiliation":[{"name":"University of Antwerp, Faculty of Social Sciences, B-2020 Antwerp, Belgium"},{"name":"KU Leuven, MSI, Facultair Onderzoekscentrum ECOOM, Naamsestraat 61, Leuven B-3000, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"281","reference":[{"issue":"9","key":"bib1","doi-asserted-by":"crossref","first-page":"1761","DOI":"10.1002\/asi.21544","volume":"62","author":"Bouyssou D.","year":"2011","journal-title":"Journal of the American Society for Information Science and Technology"},{"issue":"1","key":"bib2","first-page":"8","volume":"2","author":"Egghe L.","year":"2006","journal-title":"ISSI Newsletter"},{"issue":"1","key":"bib3","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s11192-006-0144-7","volume":"69","author":"Egghe L.","year":"2006","journal-title":"Scientometrics"},{"issue":"4","key":"bib4","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1016\/j.ipm.2009.04.001","volume":"45","author":"Egghe L.","year":"2009","journal-title":"Information Processing & Management"},{"issue":"1","key":"bib5","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/j.joi.2019.01.005","volume":"13","author":"Egghe L.","year":"2019","journal-title":"Journal of Informetrics"},{"issue":"2","key":"bib6","doi-asserted-by":"crossref","first-page":"1281","DOI":"10.1007\/s11192-019-03083-2","volume":"119","author":"Egghe L.","year":"2019","journal-title":"Scientometrics"},{"issue":"3","key":"bib8","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1016\/j.joi.2019.06.002","volume":"13","author":"Egghe L.","year":"2019","journal-title":"Journal of Informetrics"},{"volume-title":"Inequalities","year":"1934","author":"Hardy G. H.","key":"bib9"},{"issue":"46","key":"bib10","doi-asserted-by":"crossref","first-page":"16569","DOI":"10.1073\/pnas.0507655102","volume":"102","author":"Hirsch J. E.","year":"2005","journal-title":"Proceedings of the National Academy of Sciences of the United States of America"},{"issue":"6","key":"bib11","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1007\/s11434-007-0145-9","volume":"52","author":"Jin B. H.","year":"2007","journal-title":"Chinese Science Bulletin"},{"issue":"3","key":"bib12","first-page":"4","volume":"2","author":"Kosmulski M.","year":"2006","journal-title":"ISSI Newsletter"},{"issue":"12","key":"bib13","doi-asserted-by":"crossref","first-page":"3092","DOI":"10.1002\/asi.23525","volume":"67","author":"Rousseau R.","year":"2016","journal-title":"Journal of the Association for Information Science and Technology"},{"volume-title":"Becoming Metric-Wise. A Bibliometric Guide for Researchers","year":"2018","author":"Rousseau R.","key":"bib14"},{"issue":"1","key":"bib15","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/s11192-009-0091-1","volume":"84","author":"Vannucci S.","year":"2010","journal-title":"Scientometrics"},{"issue":"2","key":"bib16","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1002\/asi.21678","volume":"63","author":"Waltman L.","year":"2012","journal-title":"Journal of the American Society for Information Science and Technology"}],"container-title":["Quantitative Science Studies"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/qss_a_00005","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:30:15Z","timestamp":1615584615000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/qss\/article\/1\/1\/320-330\/15563"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2]]},"references-count":15,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["10.1162\/qss_a_00005"],"URL":"https:\/\/doi.org\/10.1162\/qss_a_00005","relation":{},"ISSN":["2641-3337"],"issn-type":[{"type":"electronic","value":"2641-3337"}],"subject":[],"published":{"date-parts":[[2020,2]]},"assertion":[{"value":"2019-01-22","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-07-27","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2020-02-20","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}