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We revisit the problem of interval estimation of a binomial proportion. The erratic behavior of the coverage probability of the standard Wald confidence interval has previously been remarked on in the literature (Blyth and Still, Agresti and Coull, Santner and others). We begin by showing that the chaotic coverage properties of the Wald interval are far(More)
The p regression problem takes as input a matrix A ∈ R n×d , a vector b ∈ R n , and a number p ∈ [1, ∞), and it returns as output a number Z and a vector xopt ∈ R d such that Z = min x∈R d Ax − bp = Axopt − bp. In this paper, we construct coresets and obtain an efficient two-stage sampling-based approximation algorithm for the very overconstrained (n d)(More)
We address the classic problem of interval estimation of a binomial proportion. The Wald intervaî p ± z α/2 n −1/2 (ˆ p(1 − ˆ p)) 1/2 is currently in near universal use. We first show that the coverage properties of the Wald interval are persistently poor and defy virtually all conventional wisdom. We then proceed to a theoretical comparison of the standard(More)
In this paper we consider interval estimation of the mean in the natural Exponential family with a quadratic variance function; the family comprises the binomial, Poisson, negative binomial, normal, gamma, and a sixth distribution. For the three discrete cases, the Wald confidence interval and three alternative intervals are examined by means of two term(More)
This article considers the global expansion of agrofuels feedstock production from a political economy perspective. It considers and dismisses the environmental and pro-poor developmental justifications attached to agrofuels. To local populations and direct producers, the specific destination of the crop as fuel, food, cosmetics or other final uses in(More)