{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T19:26:03Z","timestamp":1743017163052,"version":"3.40.3"},"publisher-location":"Cham","reference-count":13,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319684444"},{"type":"electronic","value":"9783319684451"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-68445-1_56","type":"book-chapter","created":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T20:40:36Z","timestamp":1508791236000},"page":"477-485","source":"Crossref","is-referenced-by-count":1,"title":["Constructing Universal, Non-asymptotic Confidence Sets for Intrinsic Means on the Circle"],"prefix":"10.1007","author":[{"given":"Matthias","family":"Glock","sequence":"first","affiliation":[]},{"given":"Thomas","family":"Hotz","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"issue":"3","key":"56_CR1","doi-asserted-by":"crossref","first-page":"1225","DOI":"10.1214\/009053605000000093","volume":"33","author":"RN Bhattacharya","year":"2005","unstructured":"Bhattacharya, R.N., Patrangenaru, V.: Large sample theory of intrinsic and extrinsic sample means on manifolds II. Ann. Stat. 33(3), 1225\u20131259 (2005)","journal-title":"Ann. Stat."},{"key":"56_CR2","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511564345","volume-title":"Statistical Analysis of Circular Data","author":"NI Fisher","year":"1993","unstructured":"Fisher, N.I.: Statistical Analysis of Circular Data. Cambridge University Press, Cambridge (1993)"},{"issue":"4","key":"56_CR3","first-page":"215","volume":"10","author":"M Fr\u00e9chet","year":"1948","unstructured":"Fr\u00e9chet, M.: Les \u00e9l\u00e9ments al\u00e9atoires de nature quelconque dans un espace distanci\u00e9. Annales de l\u2019Institut Henri Poincar\u00e9 10(4), 215\u2013310 (1948)","journal-title":"Annales de l\u2019Institut Henri Poincar\u00e9"},{"issue":"301","key":"56_CR4","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1080\/01621459.1963.10500830","volume":"58","author":"W Hoeffding","year":"1963","unstructured":"Hoeffding, W.: Probability inequalities for sums of bounded random variables. J. Am. Stat. Assoc. 58(301), 13\u201330 (1963)","journal-title":"J. Am. Stat. Assoc."},{"key":"56_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1007\/978-3-642-40020-9_47","volume-title":"Geometric Science of Information","author":"T Hotz","year":"2013","unstructured":"Hotz, T.: Extrinsic vs intrinsic means on the circle. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2013. LNCS, vol. 8085, pp. 433\u2013440. Springer, Heidelberg (2013). doi:\n10.1007\/978-3-642-40020-9_47"},{"issue":"1","key":"56_CR6","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/s10463-013-0444-7","volume":"67","author":"T Hotz","year":"2015","unstructured":"Hotz, T., Huckemann, S.: Intrinsic means on the circle: uniqueness, locus and asymptotics. Ann. Inst. Stat. Math. 67(1), 177\u2013193 (2015)","journal-title":"Ann. Inst. Stat. Math."},{"key":"56_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1007\/978-3-319-25040-3_68","volume-title":"Geometric Science of Information","author":"T Hotz","year":"2015","unstructured":"Hotz, T., Kelma, F., Wieditz, J.: Universal, non-asymptotic confidence sets for circular means. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2015. LNCS, vol. 9389, pp. 635\u2013642. Springer, Cham (2015). doi:\n10.1007\/978-3-319-25040-3_68"},{"issue":"10","key":"56_CR8","doi-asserted-by":"crossref","first-page":"375","DOI":"10.3390\/e18100375","volume":"18","author":"T Hotz","year":"2016","unstructured":"Hotz, T., Kelma, F., Wieditz, J.: Non-asymptotic confidence sets for circular means. Entropy 18(10), 375 (2016)","journal-title":"Entropy"},{"key":"56_CR9","series-title":"Series on Multivariate Analysis","doi-asserted-by":"crossref","DOI":"10.1142\/4031","volume-title":"Topics in Circular Statistics","author":"SR Jammalamadaka","year":"2001","unstructured":"Jammalamadaka, S.R., SenGupta, A.: Topics in Circular Statistics. Series on Multivariate Analysis, vol. 5. World Scientific, Singapore (2001)"},{"issue":"4","key":"56_CR10","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1112\/blms\/bdu025","volume":"46","author":"H Le","year":"2014","unstructured":"Le, H., Barden, D.: On the measure of the cut locus of a Fr\u00e9chet mean. Bull. Lond. Math. Soc. 46(4), 698\u2013708 (2014)","journal-title":"Bull. Lond. Math. Soc."},{"key":"56_CR11","volume-title":"Directional Statistics","author":"KV Mardia","year":"2000","unstructured":"Mardia, K.V., Jupp, P.E.: Directional Statistics. Wiley, New York (2000)"},{"issue":"5","key":"56_CR12","doi-asserted-by":"crossref","first-page":"2115","DOI":"10.1109\/TSP.2012.2186444","volume":"60","author":"RG McKilliam","year":"2012","unstructured":"McKilliam, R.G., Quinn, B.G., Clarkson, I.V.L.: Direction estimation by minimum squared arc length. IEEE Trans. Signal Process. 60(5), 2115\u20132124 (2012)","journal-title":"IEEE Trans. Signal Process."},{"key":"56_CR13","unstructured":"R Core Team: R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna (2013). \nhttp:\/\/www.R-project.org\/"}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-68445-1_56","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T19:33:13Z","timestamp":1508873593000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-68445-1_56"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319684444","9783319684451"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-68445-1_56","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}