Description Usage Arguments Value Examples
Obtain p-value of each element in the tensor regression coefficient estimator. Two-sided t-tests are implemented on the coefficient estimator, where asymptotic covariance of the OLS estimator is used.
1 | Tenv_Pval(x, y, Bhat)
|
x |
The response tensor instance r_1\times r_2\times \cdots \times r_m. |
y |
A vector predictor of dimension p. |
Bhat |
The estimator of tensor regression coefficient. The p-value and the standard error of estimated coefficient are not provided for tensor predictor regression since they depend on \widehat{\mathrm{cov}}^{-1}\{\mathrm{vec}(\mathbf{X})\} which is unavailable due to the ultra-high dimension of \mathrm{vec}(\mathbf{X}). |
p_ols |
The p-value tensor of OLS estimator. |
p_val |
The p-value tensor of |
se |
The standard error tensor of |
1 2 3 4 5 6 |
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