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How to use Kalman filter to extract TWO unobserved variables that follow specific processes in R


Better estimation of Homography using Kalman filter?Explain process noise terminology in Kalman FilterVariable time step in Kalman FilterUsing Kalman filter with acceleration and position inputsIntroduction of exogenous variables in a state space model in R with DLM packageMultivariate State Space model in r (dlmodeler)R dlm library: model definitionKalman filter - Measurement and process noiseHow to simulate the posterior filtered estimates of a Kalman Filter using the DSE package in RHow to adjust an odd behaving Hessian to calculate standard errors with optim






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margin-bottom:0;









0

















I am reproducing the model built in Coche, Liam, Sahakyan (2015) in R.



See the paper: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&cad=rja&uact=8&ved=2ahUKEwiMnO3M3qXhAhUJwMQBHfCECZcQFjACegQIAhAB&url=https%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Farticle%2Fpii%2FS2212567115011144%2Fpdf%3Fmd5%3Db191d8e7fafbf9af2fbfed2a6c6e06e3%26pid%3D1-s2.0-S2212567115011144-main.pdf%26_valck%3D1&usg=AOvVaw2LrfiVn1lcuqpm8sZmrvuD.



The model consists of estimating yield curve factors using Nelson-Siegel model and then extracting unobserved "regional" and "country-specific" factors (or betas). The first step is straightforward, while I am struggling with deriving unobserved factors in R using Kalman filter (as the Coche et al. propose).



I have read the documentation of dlm package (https://cran.r-project.org/web/packages/dlm/dlm.pdf) which is supposed to be the most convenient for Kalman filtering in R. There is a function dlmFilter() which estimates filtered values but needs a model of unobserved variable to be specified. There is an assumption that regional factors follow AR-X(1) process (with US Treasuries factors as exogenous variables), while country-specific factors follow AR(1) process.



The question is how could I specify these models for unobserved variables in dlmFilter() function?



# As I understand, this is how I can derive some unobserved variable
# which affects the observed variable y using **dlm** package.
# According to the documentation,
# dlmModPloly(1) creates the first-order polynomial model so
# that the unobserved follow a random walk process. But how to create the model in
# Coche et al. (2015)?
# Note: in the code x is an object that contains information
# about filtering results.

x <- dlmFilter(y, dlmModPoly(1))


I expect to receive two time series of regional factors and country-specific factors that could be used for forecasting the observed yield curve factor. I am ready to use another package if necessary, but I started with dlm because it is quite popular and easy in use.



I would be grateful for any help!










share|improve this question
































    0

















    I am reproducing the model built in Coche, Liam, Sahakyan (2015) in R.



    See the paper: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&cad=rja&uact=8&ved=2ahUKEwiMnO3M3qXhAhUJwMQBHfCECZcQFjACegQIAhAB&url=https%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Farticle%2Fpii%2FS2212567115011144%2Fpdf%3Fmd5%3Db191d8e7fafbf9af2fbfed2a6c6e06e3%26pid%3D1-s2.0-S2212567115011144-main.pdf%26_valck%3D1&usg=AOvVaw2LrfiVn1lcuqpm8sZmrvuD.



    The model consists of estimating yield curve factors using Nelson-Siegel model and then extracting unobserved "regional" and "country-specific" factors (or betas). The first step is straightforward, while I am struggling with deriving unobserved factors in R using Kalman filter (as the Coche et al. propose).



    I have read the documentation of dlm package (https://cran.r-project.org/web/packages/dlm/dlm.pdf) which is supposed to be the most convenient for Kalman filtering in R. There is a function dlmFilter() which estimates filtered values but needs a model of unobserved variable to be specified. There is an assumption that regional factors follow AR-X(1) process (with US Treasuries factors as exogenous variables), while country-specific factors follow AR(1) process.



    The question is how could I specify these models for unobserved variables in dlmFilter() function?



    # As I understand, this is how I can derive some unobserved variable
    # which affects the observed variable y using **dlm** package.
    # According to the documentation,
    # dlmModPloly(1) creates the first-order polynomial model so
    # that the unobserved follow a random walk process. But how to create the model in
    # Coche et al. (2015)?
    # Note: in the code x is an object that contains information
    # about filtering results.

    x <- dlmFilter(y, dlmModPoly(1))


    I expect to receive two time series of regional factors and country-specific factors that could be used for forecasting the observed yield curve factor. I am ready to use another package if necessary, but I started with dlm because it is quite popular and easy in use.



    I would be grateful for any help!










    share|improve this question




























      0












      0








      0








      I am reproducing the model built in Coche, Liam, Sahakyan (2015) in R.



      See the paper: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&cad=rja&uact=8&ved=2ahUKEwiMnO3M3qXhAhUJwMQBHfCECZcQFjACegQIAhAB&url=https%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Farticle%2Fpii%2FS2212567115011144%2Fpdf%3Fmd5%3Db191d8e7fafbf9af2fbfed2a6c6e06e3%26pid%3D1-s2.0-S2212567115011144-main.pdf%26_valck%3D1&usg=AOvVaw2LrfiVn1lcuqpm8sZmrvuD.



      The model consists of estimating yield curve factors using Nelson-Siegel model and then extracting unobserved "regional" and "country-specific" factors (or betas). The first step is straightforward, while I am struggling with deriving unobserved factors in R using Kalman filter (as the Coche et al. propose).



      I have read the documentation of dlm package (https://cran.r-project.org/web/packages/dlm/dlm.pdf) which is supposed to be the most convenient for Kalman filtering in R. There is a function dlmFilter() which estimates filtered values but needs a model of unobserved variable to be specified. There is an assumption that regional factors follow AR-X(1) process (with US Treasuries factors as exogenous variables), while country-specific factors follow AR(1) process.



      The question is how could I specify these models for unobserved variables in dlmFilter() function?



      # As I understand, this is how I can derive some unobserved variable
      # which affects the observed variable y using **dlm** package.
      # According to the documentation,
      # dlmModPloly(1) creates the first-order polynomial model so
      # that the unobserved follow a random walk process. But how to create the model in
      # Coche et al. (2015)?
      # Note: in the code x is an object that contains information
      # about filtering results.

      x <- dlmFilter(y, dlmModPoly(1))


      I expect to receive two time series of regional factors and country-specific factors that could be used for forecasting the observed yield curve factor. I am ready to use another package if necessary, but I started with dlm because it is quite popular and easy in use.



      I would be grateful for any help!










      share|improve this question















      I am reproducing the model built in Coche, Liam, Sahakyan (2015) in R.



      See the paper: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=3&cad=rja&uact=8&ved=2ahUKEwiMnO3M3qXhAhUJwMQBHfCECZcQFjACegQIAhAB&url=https%3A%2F%2Fwww.sciencedirect.com%2Fscience%2Farticle%2Fpii%2FS2212567115011144%2Fpdf%3Fmd5%3Db191d8e7fafbf9af2fbfed2a6c6e06e3%26pid%3D1-s2.0-S2212567115011144-main.pdf%26_valck%3D1&usg=AOvVaw2LrfiVn1lcuqpm8sZmrvuD.



      The model consists of estimating yield curve factors using Nelson-Siegel model and then extracting unobserved "regional" and "country-specific" factors (or betas). The first step is straightforward, while I am struggling with deriving unobserved factors in R using Kalman filter (as the Coche et al. propose).



      I have read the documentation of dlm package (https://cran.r-project.org/web/packages/dlm/dlm.pdf) which is supposed to be the most convenient for Kalman filtering in R. There is a function dlmFilter() which estimates filtered values but needs a model of unobserved variable to be specified. There is an assumption that regional factors follow AR-X(1) process (with US Treasuries factors as exogenous variables), while country-specific factors follow AR(1) process.



      The question is how could I specify these models for unobserved variables in dlmFilter() function?



      # As I understand, this is how I can derive some unobserved variable
      # which affects the observed variable y using **dlm** package.
      # According to the documentation,
      # dlmModPloly(1) creates the first-order polynomial model so
      # that the unobserved follow a random walk process. But how to create the model in
      # Coche et al. (2015)?
      # Note: in the code x is an object that contains information
      # about filtering results.

      x <- dlmFilter(y, dlmModPoly(1))


      I expect to receive two time series of regional factors and country-specific factors that could be used for forecasting the observed yield curve factor. I am ready to use another package if necessary, but I started with dlm because it is quite popular and easy in use.



      I would be grateful for any help!







      r kalman-filter state-space






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      asked Mar 28 at 21:39









      MaximMaxim

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