{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T15:52:33Z","timestamp":1784303553124,"version":"3.55.0"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"name":"MITEI-Shell Grant"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1109\/tit.2016.2620435","type":"journal-article","created":{"date-parts":[[2016,11,1]],"date-time":"2016-11-01T21:56:00Z","timestamp":1478037360000},"page":"38-56","source":"Crossref","is-referenced-by-count":37,"title":["Estimating Renyi Entropy of Discrete Distributions"],"prefix":"10.1109","volume":"63","author":[{"given":"Jayadev","family":"Acharya","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alon","family":"Orlitsky","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ananda Theertha","family":"Suresh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2950-706X","authenticated-orcid":false,"given":"Himanshu","family":"Tyagi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","author":"timan","year":"1963","journal-title":"Theory of Approximation of Functions of a Real Variable"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995801"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.833360"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1162\/089976603321780272"},{"key":"ref31","first-page":"426","article-title":"On modeling profiles instead of values","author":"orlitsky","year":"2004","journal-title":"Proc 20th Conf Uncertainty Artif Intell"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/PL00003816"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1002\/prot.340110408"},{"key":"ref36","first-page":"547","article-title":"On measures of entropy and information","volume":"1","author":"r\u00e9nyi","year":"1961","journal-title":"Proc 4th Berkeley Symp Math Statist Probab"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.836665"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.928987"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2090221"},{"key":"ref40","first-page":"47","article-title":"On the zeros of finite sums of exponential functions","volume":"33","author":"tossavainen","year":"2006","journal-title":"Australian Mathematical Society Gazette"},{"key":"ref11","author":"hardy","year":"1952","journal-title":"Inequalities"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2008.76"},{"key":"ref13","article-title":"A unified characterization of generalized information and certainty measures","author":"ili?","year":"0"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1989.63486"},{"key":"ref15","first-page":"523","article-title":"Clustering using Renyi&#x2019;s entropy","author":"jenssen","year":"2003","journal-title":"Proc Int Joint Conf Neural Netw"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2412945"},{"key":"ref17","article-title":"Maximum likelihood estimation of functionals of discrete distributions","author":"jiao","year":"0"},{"key":"ref18","article-title":"Statistical inference for R&#x00E9;nyi entropy functionals","author":"k\u00e4llberg","year":"0"},{"key":"ref19","volume":"3","author":"knuth","year":"1973","journal-title":"The Art of Computer Programming Sorting and Searching"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1002\/ima.20079"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1145\/380752.380810"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2270273"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/18.481781"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/18.476316"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.056111"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1145\/2432622.2432626"},{"key":"ref8","first-page":"20","article-title":"On testing expansion in bounded-degree graphs","volume":"7","author":"goldreich","year":"2000","journal-title":"Proc Electron Colloq Comput Complex (ECCC)"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/18.370121"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.10019"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(88)90193-4"},{"key":"ref1","doi-asserted-by":"crossref","first-page":"1855","DOI":"10.1137\/1.9781611973730.124","article-title":"The complexity of estimating R&#x00E9;nyi entropy","author":"acharya","year":"2015","journal-title":"Proc Annu ACM-SIAM Symp Discrete Algorithms (SODA)"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1880-7_29"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1145\/1140103.1140295"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-1570-2_2"},{"key":"ref22","article-title":"Multiple source adaptation and the R&#x00E9;nyi divergence","author":"mansour","year":"2012","journal-title":"CoRR"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2000.901000"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1145\/1374376.1374432"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.1994.394764"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1145\/1993636.1993727"},{"key":"ref23","first-page":"218","article-title":"On functions deviating least from zero in a given interval","author":"markov","year":"1892","journal-title":"Proc Izdat Imp Akad Nauk"},{"key":"ref44","article-title":"Energy, entropy and information potential for neural computation","author":"xu","year":"1998"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/18.42194"},{"key":"ref43","article-title":"Minimax rates of entropy estimation on large alphabets via best polynomial approximation","author":"wu","year":"2014","journal-title":"CoRR"},{"key":"ref25","first-page":"95","article-title":"Note on the bias of information estimates","volume":"2","author":"miller","year":"1955","journal-title":"Proc Inf Theory Psychol Problems Methods"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7792231\/07636988.pdf?arnumber=7636988","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:12:59Z","timestamp":1642003979000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7636988\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":46,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2016.2620435","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}