RDP 2018-01: A Density-based Estimator of Core/Periphery Network Structures: Analysing the Australian Interbank Market Equation

e DB x =2( d O d P )[ y 2 ( c T x+y ) 3 + ( 1 c T y ) 2 ( 1 c T y+x ) 3 ]+2( d C d O )[ ( c T x )y ( c T x+y ) 3 + ( 1 c T y )x ( 1 c T y+x ) 3 ] e DB y =2( d O d P )[ ( c T x )y ( c T x+y ) 3 + ( 1 c T y )x ( 1 c T y+x ) 3 ]+2( d C d O )[ ( c T x ) 2 ( c T x+y ) 3 + x 2 ( 1 c T y+x ) 3 ] MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaadaWcaaqaaiabgkGi2kaadwgadaWgaaWcbaGaaeiraiaabkeaaeqaaaGcbaGaeyOaIyRaamiEaaaacqGH9aqpcaaIYaWaaeWaaeaacaWGKbWaaSbaaSqaaiaad+eaaeqaaOGaeyOeI0IaamizamaaBaaaleaacaWGqbaabeaaaOGaayjkaiaawMcaamaadmaabaWaaSaaaeaacaWG5bWaaWbaaSqabeaacaaIYaaaaaGcbaWaaeWaaeaacaWGJbWaaSbaaSqaaiaadsfaaeqaaOGaeyOeI0IaamiEaiabgUcaRiaadMhaaiaawIcacaGLPaaadaahaaWcbeqaaiaaiodaaaaaaOGaey4kaSYaaSaaaeaadaqadaqaaiaaigdacqGHsislcaWGJbWaaSbaaSqaaiaadsfaaeqaaOGaeyOeI0IaamyEaaGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaOqaamaabmaabaGaaGymaiabgkHiTiaadogadaWgaaWcbaGaamivaaqabaGccqGHsislcaWG5bGaey4kaSIaamiEaaGaayjkaiaawMcaamaaCaaaleqabaGaaG4maaaaaaaakiaawUfacaGLDbaacqGHRaWkcaaIYaWaaeWaaeaacaWGKbWaaSbaaSqaaiaadoeaaeqaaOGaeyOeI0IaamizamaaBaaaleaacaWGpbaabeaaaOGaayjkaiaawMcaamaadmaabaWaaSaaaeaadaqadaqaaiaadogadaWgaaWcbaGaamivaaqabaGccqGHsislcaWG4baacaGLOaGaayzkaaGaamyEaaqaamaabmaabaGaam4yamaaBaaaleaacaWGubaabeaakiabgkHiTiaadIhacqGHRaWkcaWG5baacaGLOaGaayzkaaWaaWbaaSqabeaacaaIZaaaaaaakiabgUcaRmaalaaabaWaaeWaaeaacaaIXaGaeyOeI0Iaam4yamaaBaaaleaacaWGubaabeaakiabgkHiTiaadMhaaiaawIcacaGLPaaacaWG4baabaWaaeWaaeaacaaIXaGaeyOeI0Iaam4yamaaBaaaleaacaWGubaabeaakiabgkHiTiaadMhacqGHRaWkcaWG4baacaGLOaGaayzkaaWaaWbaaSqabeaacaaIZaaaaaaaaOGaay5waiaaw2faaaqaamaalaaabaGaeyOaIyRaamyzamaaBaaaleaacaqGebGaaeOqaaqabaaakeaacqGHciITcaWG5baaaiabg2da9iaaikdadaqadaqaaiaadsgadaWgaaWcbaGaam4taaqabaGccqGHsislcaWGKbWaaSbaaSqaaiaadcfaaeqaaaGccaGLOaGaayzkaaWaamWaaeaadaWcaaqaamaabmaabaGaam4yamaaBaaaleaacaWGubaabeaakiabgkHiTiaadIhaaiaawIcacaGLPaaacaWG5baabaWaaeWaaeaacaWGJbWaaSbaaSqaaiaadsfaaeqaaOGaeyOeI0IaamiEaiabgUcaRiaadMhaaiaawIcacaGLPaaadaahaaWcbeqaaiaaiodaaaaaaOGaey4kaSYaaSaaaeaadaqadaqaaiaaigdacqGHsislcaWGJbWaaSbaaSqaaiaadsfaaeqaaOGaeyOeI0IaamyEaaGaayjkaiaawMcaaiaadIhaaeaadaqadaqaaiaaigdacqGHsislcaWGJbWaaSbaaSqaaiaadsfaaeqaaOGaeyOeI0IaamyEaiabgUcaRiaadIhaaiaawIcacaGLPaaadaahaaWcbeqaaiaaiodaaaaaaaGccaGLBbGaayzxaaGaey4kaSIaaGOmamaabmaabaGaamizamaaBaaaleaacaWGdbaabeaakiabgkHiTiaadsgadaWgaaWcbaGaam4taaqabaaakiaawIcacaGLPaaadaWadaqaamaalaaabaWaaeWaaeaacaWGJbWaaSbaaSqaaiaadsfaaeqaaOGaeyOeI0IaamiEaaGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaOqaamaabmaabaGaam4yamaaBaaaleaacaWGubaabeaakiabgkHiTiaadIhacqGHRaWkcaWG5baacaGLOaGaayzkaaWaaWbaaSqabeaacaaIZaaaaaaakiabgUcaRmaalaaabaGaamiEamaaCaaaleqabaGaaGOmaaaaaOqaamaabmaabaGaaGymaiabgkHiTiaadogadaWgaaWcbaGaamivaaqabaGccqGHsislcaWG5bGaey4kaSIaamiEaaGaayjkaiaawMcaamaaCaaaleqabaGaaG4maaaaaaaakiaawUfacaGLDbaaaaaa@E6B4@