{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T07:58:14Z","timestamp":1743148694370,"version":"3.40.3"},"publisher-location":"Cham","reference-count":8,"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_27","type":"book-chapter","created":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T20:40:36Z","timestamp":1508791236000},"page":"231-238","source":"Crossref","is-referenced-by-count":2,"title":["Normalization and $$\\varphi $$ -function: Definition and\u00a0Consequences"],"prefix":"10.1007","author":[{"given":"Luiza H. F.","family":"de Andrade","sequence":"first","affiliation":[]},{"given":"Rui F.","family":"Vigelis","sequence":"additional","affiliation":[]},{"given":"Francisca L. J.","family":"Vieira","sequence":"additional","affiliation":[]},{"given":"Charles C.","family":"Cavalcante","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"issue":"11","key":"27_CR1","doi-asserted-by":"crossref","first-page":"407","DOI":"10.3390\/e18110407","volume":"18","author":"DC Souza de","year":"2016","unstructured":"de Souza, D.C., Vigelis, R.F., Cavalcante, C.C.: Geometry induced by a generalization of r\u00e9nyi divergence. Entropy 18(11), 407 (2016)","journal-title":"Entropy"},{"key":"27_CR2","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0072210","volume-title":"Orlicz Spaces and Modular Spaces","author":"J Musielak","year":"1983","unstructured":"Musielak, J.: Orlicz Spaces and Modular Spaces. LNM, vol. 1034. Springer, Heidelberg (1983). doi:\n10.1007\/BFb0072210"},{"key":"27_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-85729-355-8","volume-title":"Generalised Thermostatistics","author":"J Naudts","year":"2011","unstructured":"Naudts, J.: Generalised Thermostatistics. Springer, London (2011). doi:\n10.1007\/978-0-85729-355-8"},{"issue":"4","key":"27_CR4","doi-asserted-by":"crossref","first-page":"721","DOI":"10.2307\/3318699","volume":"5","author":"G Pistone","year":"1999","unstructured":"Pistone, G., Rogantin, M.P., et al.: The exponential statistical manifold: mean parameters, orthogonality and space transformations. Bernoulli 5(4), 721\u2013760 (1999)","journal-title":"Bernoulli"},{"key":"27_CR5","doi-asserted-by":"crossref","first-page":"1543","DOI":"10.1214\/aos\/1176324311","volume":"23","author":"G Pistone","year":"1995","unstructured":"Pistone, G., Sempi, C.: An infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. Ann. Stat. 23, 1543\u20131561 (1995)","journal-title":"Ann. Stat."},{"key":"27_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1007\/978-3-642-40020-9_81","volume-title":"Geometric Science of Information","author":"RF Vigelis","year":"2013","unstructured":"Vigelis, R.F., Cavalcante, C.C.: The \n            $$\\triangle _2 $$\n          -condition and \n            $$\\varPhi $$\n          -families of probability distributions. In: Nielsen, F., Barbaresco, F. (eds.) GSI 2013. LNCS, vol. 8085, pp. 729\u2013736. Springer, Heidelberg (2013). doi:\n10.1007\/978-3-642-40020-9_81"},{"issue":"3","key":"27_CR7","doi-asserted-by":"crossref","first-page":"870","DOI":"10.1007\/s10959-011-0400-5","volume":"26","author":"RF Vigelis","year":"2013","unstructured":"Vigelis, R.F., Cavalcante, C.C.: On \n            $$\\varphi $$\n          -families of probability distributions. J. Theor. Probab. 26(3), 870\u2013884 (2013)","journal-title":"J. Theor. Probab."},{"issue":"1","key":"27_CR8","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.jmp.2005.08.003","volume":"50","author":"J Zhang","year":"2006","unstructured":"Zhang, J., H\u00e4st\u00f6, P.: Statistical manifold as an affine space: a functional equation approach. J. Math. Psych. 50(1), 60\u201365 (2006)","journal-title":"J. Math. Psych."}],"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_27","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T19:25:51Z","timestamp":1508873151000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-68445-1_27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319684444","9783319684451"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-68445-1_27","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}