5 problems

Uniform-approximation generalization conjecture. The posterior consistency result can be generalized as long as the basis functions have the uniform approximation property.

Let $X_{ij}$ be the i.i.d. entries of the data matrix, with $EX_{11}=0$ and $\operatorname{Var}(X_{11})=1$. The consistency theorem for the kernel estimator $f_n(x)$ assumes…

The conjecture. Theorem 2 remains true when $F^{c_n,H_n}(x)$ is substituted for

Let $\overline{\mathcal L}_{\circ+}$ be the closure of the set $\mathcal L_{\circ+}$, and let $\Theta$ denote the nonlinear map defining the algorithm's iteration. The simulations…

The algorithm iterates a nonlinear map on a bounded subset of its dual space, producing a sequence of iterates whose convergence is known locally. Global convergence conjecture. Su…