The priority queue discussed in this talk is an abstract data type supporting theoperations INSERT and DELETEMIN, which transforms an input permutation σ oflength n to an output permutation τ . Atkinson and Thiyagarajah [2] proved that suchpairs (σ, τ) are counted by (n + 1)n−1. This is also well known as Cayley’s formulain graph theory, which counts the number of labeled trees ...

Recently, a variable transformation for integrals over smooth surfaces in R3 was introduced in a paper by Atkinson. This interesting transformation, which includes a “grading” parameter that can be fixed by the user, makes it possible to compute these integrals numerically via the product trapezoidal rule in an efficient manner. Some analysis of the approximations thus produced was provided by ...

Many risk, inequality, poverty and concentration measures are extremely sensitive to outliers, dependence, heterogeneity and heavy tails. In this paper we focus on robust measurement of risk, inequality, poverty and concentration under heterogeneity, dependence and heavy-tailedness of largely unknown form using the recent results on t−statistic based heterogeneity and correlation robust inferen...

Haslam C, Brown S, Atkinson S, et al. Patients’ experiences of medication for anxiety and depression: effects on working life. Fam Pract 2004;21:204–12. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Since Atkinson first described idiopathic rupture of a normal spleen in 1874, there has been controversy regarding the application of the terms "idiopathic" and "spontaneous". One such case is reported, and the validity of the description "idiopathic" or "spontaneous" discussed.