cond_indep_binomial

hyppo.tools.cond_indep_binomial(n, p=1, random_state=None)

Conditionally independent binomial distributions.

$(X,Y,Z)\in \mathbb{R}\times \mathbb{R}\times {\mathbb{R}}^p$:

$$\begin{array}{rl}{X}_1,Y_1,Z_i& \sim \text{Binom}(10,0.5)\\ Z& =(Z_1,Z_2,\dots ,Z_p)\\ X& =X_1+Z_1+Z_2+\cdots +Z_p\\ Y& =Y_1+Z_1+Z_2+\cdots +Z_p\end{array}$$

Examples 2 and 4 from 1.

Parameters

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

• p (int) -- The number of dimensions for conditioning variable Z.

Returns

x,y,z (ndarray of float) -- Simulated data matrices. x, y, and z.

References

1

Xueqin Wang, Wenliang Pan, Wenhao Hu, Yuan Tian, and Heping Zhang. Conditional distance correlation. Journal of the American Statistical Association, 110(512):1726–1734, 2015.

previous

cond_indep_normal_nonlinear

next

correlated_binomial