multimodal_independence

hyppo.tools.multimodal_independence(n, p, prob=0.5, sep1=3, sep2=2)

Multimodal Independence data.

Multimodal Independence $(X,Y)\in {\mathbb{R}}^p\times {\mathbb{R}}^p$: $U\sim \mathcal{N}(0,I_p)$, $V\sim \mathcal{N}(0,I_p)$, $U^{\prime }\sim \mathcal{B}(0.5{)}^p$, $V^{\prime }\sim \mathcal{B}(0.5{)}^p$,

$$\begin{array}{rl}X& =\frac{U}{3}+2U^{\prime }-1\\ Y& =\frac{V}{3}+2V^{\prime }-1\end{array}$$

Parameters

• n (int) -- The number of samples desired by the simulation (>= 5).

• p (int) -- The number of dimensions desired by the simulation (>= 1).

• prob (float, default: 0.5) -- The probability of the bernoulli distribution simulated from.

• sep1, sep2 (float, default: 3, 2) -- The separation between clusters of normally distributed data.

Returns

x,y (ndarray of float) -- Simulated data matrices. x` and ``y have shapes (n, p) and (n, p) where n is the number of samples and p is the number of dimensions.

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