4 problems

Let $n$ be the size of a $d$-dimensional parameter space, and let $k$ trials of Latin Hypercube sampling be performed. For a $t$-dimensional subspace, write $P(k,n,d,t)$ for its co…

Let $\hat{\sigma}_\mathtt{us}^2$-HC$k$ and $\hat{\sigma}_\mathtt{rbc}^2$-HC$k$, for $k=1,2,3$, denote the heteroskedasticity-consistent variance estimators obtained from the corres…

Consider a multi-tier heterogeneous network in which users associate with tiers through bias factors, and let the objective be the overall probability of coverage accounting for us…

Let $K$) be the number of tiers, and let $A_i$ denote the tier-association probability for tier $i$, with $A_i\geq 0$ and $\sum_{i=1}^{K}A_i=1$. Let $P_c^*$ be the maximum overall…