RDP 2012-08: Estimation and Solution of Models with Expectations and Structural Changes Equation (A-3)

z ^ t | t j = IE ( z t | z t j , ... , z 1 ) y ^ t | t j = IE ( y t | z t j , ... , z 1 ) Σ t | t j = IE ( y t y ^ t | t j ) ( y t y ^ t | t j ) . MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaaceWG6bGbaKaadaWgaaWcbaGaamiDaiaacYhacaWG0bGaeyOeI0IaamOAaaqabaGccqGH9aqpcaqGjbGaaeyraiaacIcacaWG6bWaaSbaaSqaaiaadshaaeqaaerbwvMCKfMBHbacfaGccaWF8bGaamOEamaaBaaaleaacaWG0bGaeyOeI0IaamOAaaqabaGccaGGSaGaaiOlaiaac6cacaGGUaGaaeilaiaadQhadaWgaaWcbaGaaGymaaqabaGccaGGPaaabaGabmyEayaajaWaaSbaaSqaaiaadshacaGG8bGaamiDaiabgkHiTiaadQgaaeqaaOGaeyypa0JaaeysaiaabweacaGGOaGaamyEamaaBaaaleaacaWG0baabeaakiaa=XhacaWG6bWaaSbaaSqaaiaadshacqGHsislcaWGQbaabeaakiaacYcacaGGUaGaaiOlaiaac6cacaqGSaGaamOEamaaBaaaleaacaaIXaaabeaakiaacMcaaeaacqqHJoWudaWgaaWcbaGaamiDaiaacYhacaWG0bGaeyOeI0IaamOAaaqabaGccqGH9aqpcaqGjbGaaeyraiaacIcacaWG5bWaaSbaaSqaaiaadshaaeqaaOGaeyOeI0IabmyEayaajaWaaSbaaSqaaiaadshacaGG8bGaamiDaiabgkHiTiaadQgaaeqaaOGaaiykaiaacIcacaWG5bWaaSbaaSqaaiaadshaaeqaaOGaeyOeI0IabmyEayaajaWaaSbaaSqaaiaadshacaGG8bGaamiDaiabgkHiTiaadQgaaeqaaOGabiykayaafaGaaiOlaaaaaa@8508@