Informationgeometryprovidesthemathematicalscienceswithanewframeworkofanalysis.Ithasemergedfromtheinvestigationofthenaturaldifferentialgeometricstructureonmanifoldsofprobabilitydistributions,whichconsistsofaRiemannianmetricdefinedbytheFisherinformationandaone-parameterfamilyofaffineconnec