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The make_blobs() function draws samples from a special Gaussian mixture model. A general Gaussian mixture model with $k$ clusters has a density of the form $$p(x) = \sum_{i=1}^k \pi_i \mathcal{N}(\mu_i, \Sigma_i)$$ where $\pi_i \ge 0$ are the weights of each cluster with $\sum_{i=1}^k \pi_i = 1$, $\mu_i$ are the cluster centers, and $\Sigma_i$ are the ...

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You should eliminate the oldest observation of the I(1) variable. You should not difference it more than once.

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Turns out that the expression evaluates to $$\mathbf{A} E(\mathbf{y} \mathbf{y}^T),$$ which is just $\mathbf{A} \mathbf{\Theta}$.

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A similar question was ask and answered in this post: Two-dimensional Kolmogorov–Smirnov In short, the Fasano-Franceschini test (1987) -- a 2-D Kolmogorov-Smirnov (KS) two-sample test shown to be a less computationally expensive version of the Peacock test (1983) -- has recently been implemented as R code. R code Implementation https://nesscoder.github.io/...

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