Kalman Filter and Maximum Likelihood
Estimation of Linearized DSGE Models怎么去日本留学
Dr.Tai-kuang Ho
Associate Professor.Department of Quantitative Finance,National Tsing Hua University,No.
1State space form and the Kalman…lter
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1.1State space form
x t:the state variables
z t:the obrvable variables
Transition equation
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x t+1=F x t+G!t+1
!t+1 N(0;Q) Measurement equation
z t=H0t x t+ t
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思想政治教育专业考研We want to write the likelihood function of z t.
suck guy1.2Some uful properties of normal distribution Assume that
Z j w="X j w Y j w# N " x y#;" xx xyquickly>tsf
yx yy#!
Then if follows
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1.3Kalman…ltergcp
z t 1 f z 1;z0;:::;z t 1g
x t j t 1:the random variables x t conditional on z t 1,the history of the obrv-able variables