RDP 8601: Classical Models and Unobserved Aggregates Equation

v 11 =(1/ σ s 2 ){ σ d 2 σ μ 2 +W( σ d 2 + σ μ 2 ) }+ σ μ 2 + β 2 σ d 2 + ( 1+β ) 2 W v 21 =(α/ σ s 2 ){ σ d 2 σ μ 2 +W( σ d 2 + σ μ 2 ) }+ σ μ 2 +βγ σ d 2 +( 1+β )( 1+γ )W v 22 =( α 2 / σ s 2 ){ σ d 2 σ μ 2 +W( σ d 2 + σ μ 2 ) }+ σ μ 2 + γ 2 σ d 2 + ( 1+γ ) 2 W v 31 =β σ d 2 (1+β)W v 32 =γ σ d 2 (1+γ)W v 33 = σ d 2 +W v 41 = σ μ 2 +βδ σ d 2 (1+β)(1δ)W v 42 = σ μ 2 +γδ σ d 2 (1+γ)(1δ)W v 43 =δ σ d 2 +(1δ)W v 44 =( 1/ σ n 2 ){ σ d 2 σ μ 2 +W( σ d 2 + σ μ 2 ) }+ σ μ 2 + δ 2 σ d 2 + ( 1+δ ) 2 W MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaqG2b WaaWbaaSqabeaacaaIXaGaaGymaaaakiabg2da9iaacIcacaaIXaGa ai4laiabeo8aZnaaDaaaleaacaWGZbaabaGaaGOmaaaakiaacMcada Gadaqaaiabeo8aZnaaDaaaleaacaWGKbaabaGaaGOmaaaakiabeo8a ZnaaDaaaleaadaahaaadbeqaaiabeY7aTbaaaSqaaiaaikdaaaGccq GHRaWkcaqGxbGaaeikaiadmciHdpWCdGaJa2baaSqaiWiGcGaJaoiz aaqaiWiGcGaJaIOmaaaakiabgUcaRiabeo8aZnaaDaaaleaadaahaa adbeqaaiabeY7aTbaaaSqaaiaaikdaaaGccaqGPaaacaGL7bGaayzF aaGaey4kaSIaeq4Wdm3aa0baaSqaamaaCaaameqabaGaeqiVd0gaaa WcbaGaaGOmaaaakiabgUcaRiabek7aInaaCaaaleqabaGaaGOmaaaa kiabeo8aZnaaDaaaleaacaWGKbaabaGaaGOmaaaakiabgUcaRmaabm aabaGaaGymaiabgUcaRiabek7aIbGaayjkaiaawMcaamaaCaaaleqa baGaaGOmaaaakiaabEfaaeaacaqG2bWaaWbaaSqabeaacaaIYaGaaG ymaaaakiabg2da9iabgkHiTiaacIcacqaHXoqycaGGVaGaeq4Wdm3a a0baaSqaaiaadohaaeaacaaIYaaaaOGaaiykamaacmaabaGaeq4Wdm 3aa0baaSqaaiaadsgaaeaacaaIYaaaaOGaeq4Wdm3aa0baaSqaamaa CaaameqabaGaeqiVd0gaaaWcbaGaaGOmaaaakiabgUcaRiaabEfada qadaqaaiadmciHdpWCdGaJa2baaSqaiWiGcGaJaoizaaqaiWiGcGaJ aIOmaaaakiabgUcaRiabeo8aZnaaDaaaleaadaahaaadbeqaaiabeY 7aTbaaaSqaaiaaikdaaaaakiaawIcacaGLPaaaaiaawUhacaGL9baa cqGHRaWkcqaHdpWCdaqhaaWcbaWaaWbaaWqabeaacqaH8oqBaaaale aacaaIYaaaaOGaey4kaSIaeqOSdiMaeq4SdCMaeq4Wdm3aa0baaSqa aiaadsgaaeaacaaIYaaaaOGaey4kaSYaaeWaaeaacaaIXaGaey4kaS IaeqOSdigacaGLOaGaayzkaaWaaeWaaeaacaaIXaGaey4kaSIaeq4S dCgacaGLOaGaayzkaaGaae4vaaqaaiaabAhadaahaaWcbeqaaiaaik dacaaIYaaaaOGaeyypa0JaeyOeI0Iaaiikaiabeg7aHnaaCaaaleqa baGaaGOmaaaakiaac+cacqaHdpWCdaqhaaWcbaGaam4Caaqaaiaaik daaaGccaGGPaWaaiWaaeaacqaHdpWCdaqhaaWcbaGaamizaaqaaiaa ikdaaaGccqaHdpWCdaqhaaWcbaWaaWbaaWqabeaacqaH8oqBaaaale aacaaIYaaaaOGaey4kaSIaae4vamaabmaabaGamWiGeo8aZnacmcyh aaWcbGaJakacmc4GKbaabGaJakacmciIYaaaaOGaey4kaSIaeq4Wdm 3aa0baaSqaamaaCaaameqabaGaeqiVd0gaaaWcbaGaaGOmaaaaaOGa ayjkaiaawMcaaaGaay5Eaiaaw2haaiabgUcaRiabeo8aZnaaDaaale aadaahaaadbeqaaiabeY7aTbaaaSqaaiaaikdaaaGccqGHRaWkcqaH ZoWzdaahaaWcbeqaaiaaikdaaaGccqaHdpWCdaqhaaWcbaGaamizaa qaaiaaikdaaaGccqGHRaWkdaqadaqaaiaaigdacqGHRaWkcqaHZoWz aiaawIcacaGLPaaadaahaaWcbeqaaiaaikdaaaGccaqGxbaabaGaae ODamaaCaaaleqabaGaaG4maiaaigdaaaGccqGH9aqpcqGHsislcqaH YoGycqaHdpWCdaqhaaWcbaGaamizaaqaaiaaikdaaaGccqGHsislca GGOaGaaGymaiabgUcaRiabek7aIjaacMcacaGGxbaabaGaaeODamaa CaaaleqabaGaaG4maiaaikdaaaGccqGH9aqpcqGHsislcqaHZoWzcq aHdpWCdaqhaaWcbaGaamizaaqaaiaaikdaaaGccqGHsislcaGGOaGa aGymaiabgUcaRiabeo7aNjaacMcacaGGxbaabaGaaeODamaaCaaale qabaGaaG4maiaaiodaaaGccqGH9aqpcqaHdpWCdaqhaaWcbaGaamiz aaqaaiaaikdaaaGccqGHRaWkcaGGxbaabaGaaeODamaaCaaaleqaba GaaGinaiaaigdaaaGccqGH9aqpcqGHsislcqaHdpWCdaqhaaWcbaGa eqiVd0gabaGaaGOmaaaakiabgUcaRiabek7aIjabes7aKjabeo8aZn aaDaaaleaacaWGKbaabaGaaGOmaaaakiabgkHiTiaacIcacaaIXaGa ey4kaSIaeqOSdiMaaiykaiaacIcacaaIXaGaeyOeI0IaeqiTdqMaai ykaiaacEfaaeaacaqG2bWaaWbaaSqabeaacaaI0aGaaGOmaaaakiab g2da9iabgkHiTiabeo8aZnaaDaaaleaacqaH8oqBaeaacaaIYaaaaO Gaey4kaSIaeq4SdCMaeqiTdqMaeq4Wdm3aa0baaSqaaiaadsgaaeaa caaIYaaaaOGaeyOeI0IaaiikaiaaigdacqGHRaWkcqaHZoWzcaGGPa GaaiikaiaaigdacqGHsislcqaH0oazcaGGPaGaai4vaaqaaiaabAha daahaaWcbeqaaiaaisdacaaIZaaaaOGaeyypa0JaeyOeI0IaeqiTdq Maeq4Wdm3aa0baaSqaaiaadsgaaeaacaaIYaaaaOGaey4kaSIaaiik aiaaigdacqGHsislcqaH0oazcaGGPaGaai4vaaqaaiaabAhadaahaa WcbeqaaiaaisdacaaI0aaaaOGaeyypa0ZaaeWaaeaacaaIXaGaai4l aiabeo8aZnaaDaaaleaacaWGUbaabaGaaGOmaaaaaOGaayjkaiaawM caamaacmaabaGaeq4Wdm3aa0baaSqaaiaadsgaaeaacaaIYaaaaOGa eq4Wdm3aa0baaSqaamaaCaaameqabaGaeqiVd0gaaaWcbaGaaGOmaa aakiabgUcaRiaabEfadaqadaqaaiadmciHdpWCdGaJa2baaSqaiWiG cGaJaoizaaqaiWiGcGaJaIOmaaaakiabgUcaRiabeo8aZnaaDaaale aadaahaaadbeqaaiabeY7aTbaaaSqaaiaaikdaaaaakiaawIcacaGL PaaaaiaawUhacaGL9baacqGHRaWkcqaHdpWCdaqhaaWcbaWaaWbaaW qabeaacqaH8oqBaaaaleaacaaIYaaaaOGaey4kaSIaeqiTdq2aaWba aSqabeaacaaIYaaaaOGaeq4Wdm3aa0baaSqaaiaadsgaaeaacaaIYa aaaOGaey4kaSYaaeWaaeaacaaIXaGaey4kaSIaeqiTdqgacaGLOaGa ayzkaaWaaWbaaSqabeaacaaIYaaaaOGaae4vaaaaaa@9EF1@