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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)

To my mother, and to the loving memories of my father 2 Contents

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)

- Anirban DasGupta
- 2004

This article provides a contemporary exposition at a moderately quantitative level of the distribution theory associated with the matching and the birthday problems. A large number of examples, many not well known, are provided to help a reader have a feeling for these questions at an intuitive level.

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)

- Ben White, Anirban Dasgupta
- The Journal of peasant studies
- 2010

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)

- Anirban DasGupta
- 1999

We address the classic problem of interval estimation of a binomial proportion. The Wald interval ^ pz =2 n ?1=2 (^ p(1?^ p)) 1=2 is currently in near universal use. We rst 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 discuss the sample size problem for balanced one way ANOVA under a posterior Bayesian formulation of the problem. Using the distribution theory of appropriate quadratic forms we derive explicit sample sizes for prespeciied posterior precisions. Comparisons with classical sample sizes are made. Instead of extensive tables , a mathematica… (More)