RDP 2012-01: Co-movement in Inflation Equation (3A)

Z ^ t , common 1 , r e a l = ( Σ p = 1 2 Σ n 1 7 Σ i = 1 3 Δ y i , t p n ) p ( θ common 1 , r e a l ^ ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmOwayaaja Waa0baaSqaaiaadshacaGGSaGaae4yaiaab+gacaqGTbGaaeyBaiaa b+gacaqGUbaabaGaaGymaiaacYcacaWGYbGaamyzaiaadggacaWGSb aaaOGaeyypa0ZaaeWaaeaacqqHJoWudaqhaaWcbaGaamiCaiabg2da 9iaaigdaaeaacaaIYaaaaOGaeu4Odm1aa0baaSqaaiaad6gacqGHsi slcaaIXaaabaGaaG4naaaakiabfo6atnaaDaaaleaacaWGPbGaeyyp a0JaaGymaaqaaiaaiodaaaGccqqHuoarcaWG5bWaa0baaSqaaiaadM gacaGGSaGaamiDaiabgkHiTiaadchaaeaacaWGUbaaaaGccaGLOaGa ayzkaaGaey4fIOIaamiCamaabmaabaWaaecaaeaacqaH4oqCdaqhaa WcbaGaae4yaiaab+gacaqGTbGaaeyBaiaab+gacaqGUbaabaGaaGym aiaacYcacaWGYbGaamyzaiaadggacaWGSbaaaaGccaGLcmaaaiaawI cacaGLPaaaaaa@6E5E@

Equation (3B)

Z ^ t , common 2 , r e a l = ( Σ p = 1 2 Σ n = 1 7 Σ i = 1 3 Δ y i , t p n ) p ( θ common 2 , r e a l ^ ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmOwayaaja Waa0baaSqaaiaadshacaGGSaGaae4yaiaab+gacaqGTbGaaeyBaiaa b+gacaqGUbaabaGaaGOmaiaacYcacaWGYbGaamyzaiaadggacaWGSb aaaOGaeyypa0ZaaeWaaeaacqqHJoWudaqhaaWcbaGaamiCaiabg2da 9iaaigdaaeaacaaIYaaaaOGaeu4Odm1aa0baaSqaaiaad6gacqGH9a qpcaaIXaaabaGaaG4naaaakiabfo6atnaaDaaaleaacaWGPbGaeyyp a0JaaGymaaqaaiaaiodaaaGccqqHuoarcaWG5bWaa0baaSqaaiaadM gacaGGSaGaamiDaiabgkHiTiaadchaaeaacaWGUbaaaaGccaGLOaGa ayzkaaGaey4fIOIaamiCamaabmaabaWaaecaaeaacqaH4oqCdaqhaa WcbaGaae4yaiaab+gacaqGTbGaaeyBaiaab+gacaqGUbaabaGaaGOm aiaacYcacaWGYbGaamyzaiaadggacaWGSbaaaaGccaGLcmaaaiaawI cacaGLPaaaaaa@6E79@