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I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X(X)$ and $V=F_Y(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings herehere

I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X(X)$ and $V=F_Y(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings here

I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X(X)$ and $V=F_Y(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings here

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Glen_b
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I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X^{-1}(X)$$U=F_X(X)$ and $V=F_Y^{-1}(Y)$$V=F_Y(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings here

I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X^{-1}(X)$ and $V=F_Y^{-1}(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings here

I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X(X)$ and $V=F_Y(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings here

Source Link
Glen_b
  • 290.5k
  • 37
  • 652
  • 1.1k

I believe you're just referring to transforming each marginal distribution to $U[0,1]$ via the probability integral transform, which when applied to each of the variables individually, transforms a d-dimensional distribution to its copula.

For example, if you had a bivariate normal $(X,Y)$, and transform $U=F_X^{-1}(X)$ and $V=F_Y^{-1}(Y)$, then $(U,V)$ is a Gaussian copula.

e.g. see here

There are some recommended introductory readings here