We consider functional measurement error models where the measurement error distribution is estimated non-parametrically. We derive a locally efficient semiparametric estimator but propose not to implement it owing to its numerical complexity. Instead, a plug-in estimator is proposed, where the...

Data in the form of pairs ("X","Y"), where the response "Y" is a count, arise in many applications, including problems involving stratified or two-stage sampling. Such data are often analysed by using random-effects models, where the distribution of "Y", conditional on "X" and on an unobserved...

High dimension, low sample size data are emerging in various areas of science. We find a common structure underlying many such data sets by using a non-standard type of asymptotics: the dimension tends to ∞ while the sample size is fixed. Our analysis shows a tendency for the data to lie...

In a range of imaging problems, particularly those where the images are of man-made objects, edges join at points which comprise three or more distinct boundaries between textures. In such cases the set of edges in the plane forms what a mathematician would call a planar graph. Smooth edges in...

Following the earlier work of SMAILES, 1944, and SMITH, 1968, the changing urban hierarchy of England has been plotted for 1913, 1938, 1965 and 1998, using two alternative composite measures: an urban hierarchy embodying a number of different measures of urbanity; and a retail hierarchy based on...

We suggest two nonparametric approaches, based on kernel methods and orthogonal series, respectively, to estimating regression functions in the presence of instrumental variables. For the first time in this class of problems we derive optimal convergence rates, and show that they are attained by...

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HALL P. (1997) The future of the metropolis and its form, Reg. Studies 31, 211-220 In this paper, echoing the spirit and purpose of Michael Chisholm's best work, I discuss the economics of alternative patterns of land use and development. First, the paper revisits Anglo-American debates from the...