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I originally asked a question about the delta-method in the context of the hyperbolic distributionoriginally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of meto this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not workin my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this postpost working? The vcov function is not working and also the hessian cannot be used, see my description of the error message and my comments to the answer.

I originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working and also the hessian cannot be used, see my description of the error message and my comments to the answer.

I originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working and also the hessian cannot be used, see my description of the error message and my comments to the answer.

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Jen Bohold
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I originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working and also the hessian cannot be used, see my description of the error message inand my commentcomments to the answer.

I originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working, see my description of the error message in my comment to the answer.

I originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working and also the hessian cannot be used, see my description of the error message and my comments to the answer.

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Jen Bohold
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Transform the hessian matrix? Or how to get the covariance-matrix of the parameter estimates of the hyperbolic distribution The vcov function cannot be applied?

I [originally asked a question about the delta-method in the context of the hyperbolic distribution][1]originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According [to this question of me][2]to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to [this][3]this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution ([in my original post this was the Sigma solved with the vcov function which does not work][4]in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue. [1]: Standard errors of hyperbolic distribution estimates using delta-method? [2]: Variance-covariance matrix of the parameter estimates wrongly calculated? [3]: http://help.rmetrics.org/HyperbolicDist/summary.hyperbFit.html [4]: Standard errors of hyperbolic distribution estimates using delta-method?

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working, see my description of the error message in my comment to the answer.

Transform the hessian matrix? Or how to get the covariance-matrix of the parameter estimates of the hyperbolic distribution?

I [originally asked a question about the delta-method in the context of the hyperbolic distribution][1]. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According [to this question of me][2], I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to [this][3] this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution ([in my original post this was the Sigma solved with the vcov function which does not work][4])? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue. [1]: Standard errors of hyperbolic distribution estimates using delta-method? [2]: Variance-covariance matrix of the parameter estimates wrongly calculated? [3]: http://help.rmetrics.org/HyperbolicDist/summary.hyperbFit.html [4]: Standard errors of hyperbolic distribution estimates using delta-method?

The vcov function cannot be applied?

I originally asked a question about the delta-method in the context of the hyperbolic distribution. I got an answer there, which is useful, except that it says I should apply the vcov function to my fitted function what is unfortunately not possible. The vcov was there to give me the variance-covariance matrix of the parameter $\zeta,\pi,\delta$. Now I want to calculate this variance-covariance manually. According to this question of me, I know how to get the variance-covariance matrix out of the hessian. Unfortunately according to this this is the hessian for pi, log(zeta), log(delta), and mu and not for the desired pi, zeta, delta, and mu.

So my basic problem is how to get the variance-covariance matrix of the parameter estimates of the hyperbolic distribution (in my original post this was the Sigma solved with the vcov function which does not work)? I know how to get the variance-covariance matrix out of the hessian, but I have the wrong hessian. So what should I do now? Is it possible to transform the hessian from pi, log(zeta), log(delta), and mu into the hessian of pi, zeta, delta, and mu and how is this done?

Or is there an easier way to get vcov running?

I am really stuck here and don't know how to continue.

My main question is: How to get the answer of COOLSerdash in this post working? The vcov function is not working, see my description of the error message in my comment to the answer.

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Jen Bohold
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Jen Bohold
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