Guttmacher Policy Review | Vol. 18, No. 3 | Summer 2015 www.guttmacher.org 70 • The current climate of hostility toward abortion rights in large swaths of the United States has left some women—particularly those who are low-income or otherwise disadvantaged—with no practical option for terminating their pregnancies but to do so on their own, which puts them at risk of legal prosecution and even...

Compressible gas flow inside a convergent-divergent nozzle and its exhaust plume atdifferent nozzle pressure ratios (NPR) have been numerically studied with severalturbulence models. The numerical results reveal that, the SST k–ω model give the bestresults compared with other models in time and accuracy. The effect of changes in value ofdivergence half-angle (ε ) on the nozzle performance, thru...

1 I n t r o d u c t i o n Since Valiant's introduction of the PAC learning model [6] for boolean functions, several extensions of the model to the learning of probability distributions were made. Yamanishi [7] and Kearns and Schapire [3] considered the problem of learning stochastic rules (or probabillstic concepts), which is the problem of learning conditional distributions. Abe and Warmuth [1...

The discussion focuses on three themes. One is the divergence between positions of business associations and concerns of individual entrepreneurs regarding several determinants of investment. Another issue is under what conditions economic growth can be achieved under democracy; why market reforms have generated little private investment in many cases, and which government policies and politica...

A new upper bound on the relative entropy is derived as a function of the total variation distance for probability measures defined on a common finite alphabet. The bound improves a previously reported bound by Csiszár and Talata. It is further extended to an upper bound on the Rényi divergence of an arbitrary non-negative order (including ∞) as a function of the total variation distance.

In this paper minimax lower bounds are derived for the estimation of the instantaneous volatility in three related high-frequency statistical models. These bounds are based on new upper bounds for the Kullback-Leibler divergence between two multivariate normal random variables along with a spectral analysis of the processes. A comparison with known upper bounds shows that these lower bounds are...

Abstract. In dimension 2, the Horgan-Payne angle serves to construct a lower bound for the inf-sup constant of the divergence arising in the so-called LBB condition. This lower bound is equivalent to an upper bound for the Friedrichs constant. Explicit upper bounds for the latter constant can be found using a polar parametrization of the boundary. Revisiting carefully the original paper which e...