We establish limit theory for the Grenander estimator of a monotone density near zero. In particular we consider the situation when the true density f(0) is unbounded at zero, with different rates ofâ€¦ (More)

As noted by Persi Diaconis, the apparently simple problem of estimating the face probabilities of a shaved die defies exact mathematical analysis. However, this problem can be used to provide amusingâ€¦ (More)

The chondroitin sulphate proteoglycan NG2 blocks neurite outgrowth in vitro and thus may be able to inhibit axonal regeneration in the CNS. We have used immunohistochemistry to compare the expressionâ€¦ (More)

Suppose that U = (U(1), â€¦ , U(d)) has a Uniform ([0, 1](d)) distribution, that Y = (Y(1), â€¦ , Y(d)) has the distribution G on [Formula: see text], and let X = (X(1), â€¦ , X(d)) = (U(1)Y(1), â€¦ ,â€¦ (More)

What proportion of all 2Ã— 2Ã— 2 contingency tables exhibit Simpsonâ€™s Paradox? An approximate answer is obtained for large sample sizes and extended to 2Ã—2Ã—l tables. Several conditional probabilitiesâ€¦ (More)

A problem that is frequently encountered during the systematic review process is when studies that meet the inclusion criteria do not provide the appropriate numerical estimates to include in aâ€¦ (More)