Confidence Region of a multivariate KDE in statsmodels in Python












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I have an estimated kernel density based on a set of observations $(x_{11},x_{12},...,x_{1n})$ and $(x_{21},x_{22},...,x_{2n})$ and would like to draw confidence regions in the $(x_{1}, x_{2})$ space.



It's probably possible to make a meshgrid and evaluate the cdf at each point, finding the regions where its inside/outside the desired CI.



However, is there a built-in function that generates confidence regions? If not, what would be the simplest way to get this done in Python?



Thanks.










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    $begingroup$


    I have an estimated kernel density based on a set of observations $(x_{11},x_{12},...,x_{1n})$ and $(x_{21},x_{22},...,x_{2n})$ and would like to draw confidence regions in the $(x_{1}, x_{2})$ space.



    It's probably possible to make a meshgrid and evaluate the cdf at each point, finding the regions where its inside/outside the desired CI.



    However, is there a built-in function that generates confidence regions? If not, what would be the simplest way to get this done in Python?



    Thanks.










    share|improve this question









    New contributor




    incroc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$















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      0





      $begingroup$


      I have an estimated kernel density based on a set of observations $(x_{11},x_{12},...,x_{1n})$ and $(x_{21},x_{22},...,x_{2n})$ and would like to draw confidence regions in the $(x_{1}, x_{2})$ space.



      It's probably possible to make a meshgrid and evaluate the cdf at each point, finding the regions where its inside/outside the desired CI.



      However, is there a built-in function that generates confidence regions? If not, what would be the simplest way to get this done in Python?



      Thanks.










      share|improve this question









      New contributor




      incroc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I have an estimated kernel density based on a set of observations $(x_{11},x_{12},...,x_{1n})$ and $(x_{21},x_{22},...,x_{2n})$ and would like to draw confidence regions in the $(x_{1}, x_{2})$ space.



      It's probably possible to make a meshgrid and evaluate the cdf at each point, finding the regions where its inside/outside the desired CI.



      However, is there a built-in function that generates confidence regions? If not, what would be the simplest way to get this done in Python?



      Thanks.







      python






      share|improve this question









      New contributor




      incroc is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question









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