We prove that, for low-order ( ≤ 4) stable polynomial segments or interval polynomials, there always exists a fixed polynomial such that their ratio is SPR-invariant, thereby providing a rigorous proof of Anderson's claim on SPR synthesis for the fourth-order stable interval polynomials....

The computational power of recurrent RBF (radial basis functions) networks is investigated. A recurrent network which consists of RBF units with maximum norm employing any activation function that has different values in at least two nonnegative points, is constructed so as to implement a given...

Suppose that in a second-price auction, a seller wishes to set an optimal reserve price, but the information about the distribution of bidders' iid valuations is scarce: the seller knows only an upper bound for valuations, the distribution's mean, and, possibly, variance. I find reserve prices...

We report the results of a Mendelian randomization study in which multiple genetic variants are used as instrumental variables to estimate the causal effect of body mass index on personal income in the presence of unobserved confounding. The data come from Understanding Society, a large-scale...

In regression discontinuity design (RD), for a given bandwidth, researchers can estimate standard errors based on different variance formulas obtained under different asymptotic frameworks. In the traditional approach the bandwidth shrinks to zero as sample size increases; alternatively, the...