RDP 2008-08: The Role of International Shocks in Australia’s Business Cycle Equation (A1)

Q = ∏ i = 1 n − 1 ∏ j = i + 1 n Q i , j ( θ i , j ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyuaiabg2 da9maarahabaWaaebCaeaacaWGrbWaaSbaaSqaaiaadMgacaGGSaGa amOAaaqabaGcdaqadaqaaiabeI7aXnaaBaaaleaacaWGPbGaaiilai aadQgaaeqaaaGccaGLOaGaayzkaaaaleaacaWGQbGaeyypa0JaamyA aiabgUcaRiaaigdaaeaacaWGUbaaniabg+GivdaaleaacaWGPbGaey ypa0JaaGymaaqaaiaad6gacqGHsislcaaIXaaaniabg+Givdaaaa@508C@ where     Q i , j ( θ i , j ) = [ col   i col   j 1 ↓ ↓ ⋯ row   i → cos ( θ i , j ) ⋯ − sin ( θ i , j ) ⋯ 1 ⋯ row   j → sin ( θ i , j ) ⋯ cos ( θ i , j ) ⋯ 1 ] MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaae4DaiaabI gacaqGLbGaaeOCaiaabwgacaaMc8UaaGPaVlaadgfadaWgaaWcbaGa amyAaiaacYcacaWGQbaabeaakmaabmaabaGaeqiUde3aaSbaaSqaai aadMgacaGGSaGaamOAaaqabaaakiaawIcacaGLPaaacqGH9aqpdaWa daqaauaabaqaiGaaaaaaaaqaaaqaaaqaaaqaaiaabogacaqGVbGaae iBaiaaykW7caWGPbaabaaabaGaae4yaiaab+gacaqGSbGaaGPaVlaa dQgaaeaaaeaaaeaaaeaacaaIXaaabaaabaGaey4KH8kabaaabaGaey 4KH8kabaaabaaabaaabaaabaGaeS47IWeabaaabaaabaaabaaabaaa baGaaeOCaiaab+gacaqG3bGaaGPaVlaadMgaaeaacqGHsgIRaeaaae aaciGGJbGaai4BaiaacohadaqadaqaaiabeI7aXnaaBaaaleaacaWG PbGaaiilaiaadQgaaeqaaaGccaGLOaGaayzkaaaabaGaeS47IWeaba GaeyOeI0Iaci4CaiaacMgacaGGUbWaaeWaaeaacqaH4oqCdaWgaaWc baGaamyAaiaacYcacaWGQbaabeaaaOGaayjkaiaawMcaaaqaaaqaaa qaaaqaaaqaaaqaaiabl+UimbqaaiaaigdaaeaacqWIVlctaeaaaeaa aeaacaqGYbGaae4BaiaabEhacaaMc8UaamOAaaqaaiabgkziUcqaaa qaaiGacohacaGGPbGaaiOBamaabmaabaGaeqiUde3aaSbaaSqaaiaa dMgacaGGSaGaamOAaaqabaaakiaawIcacaGLPaaaaeaacqWIVlctae aaciGGJbGaai4BaiaacohadaqadaqaaiabeI7aXnaaBaaaleaacaWG PbGaaiilaiaadQgaaeqaaaGccaGLOaGaayzkaaaabaaabaaabaaaba aabaaabaaabaaabaaabaGaeS47IWeabaaabaaabaaabaaabaaabaaa baaabaaabaGaaGymaaaaaiaawUfacaGLDbaaaaa@999E@