2021-11-29T15:36:12Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000158412021-10-27T01:52:34Z1544:1545Exponential families admitting almost complex structuresTakano, Kazuhikoexponential familyα-connectionalmost complex structurestatistical manifoldWe discuss exponential families admitting almost complex structures which are parallel relative to an exponential connection (e–connection) or mixture connection (m–connection). The multinomial distribution, negative multinomial distribution and multivariate normal distribution are important examples of the exponential family. We give almost complex structures which are parallel relative to the exponential or mixture connection for these exponential families. Also, we prove spaces of the multinomial distribution and negative multinomial distribution are of constant curvature with respect to the α–connection.ArticleSUT Journal of Mathematics. 46:1-21 (2010)Science University of Tokyo2010engjournal articleVoRhttp://hdl.handle.net/10091/17655https://soar-ir.repo.nii.ac.jp/records/158410916-5746AA1075431XSUT Journal of Mathematics46121https://soar-ir.repo.nii.ac.jp/record/15841/files/Exponential_families_admitting_almost_complexs.pdfapplication/pdf148.5 kB2015-09-28