Variable selection using MM algorithms

Variable selection is fundamental to high-dimensional statistical modeling. Many variable selection techniques may be implemented by maximum penalized likelihood using various penalty functions. Optimizing the penalized likelihood function is often challenging because it may be nondifferentiable and/or nonconcave. This article proposes a new class of algorithms for finding a maximizer of the penalized likelihood for a broad class of penalty functions. These algorithms operate by perturbing the penalty function slightly to render it differentiable, then optimizing this differentiable function using a minorize-maximize (MM) algorithm. MM algorithms are useful extensions of the well-known class of EM algorithms, a fact that allows us to analyze the local and global convergence of the proposed algorithm using some of the techniques employed for EM algorithms. In particular, we prove that when our MM algorithms converge, they must converge to a desirable point; we also discuss conditions under which this convergence may be guaranteed. We exploit the Newton-Raphson-like aspect of these algorithms to propose a sandwich estimator for the standard errors of the estimators. Our method performs well in numerical tests.Comment: Published at http://dx.doi.org/10.1214/009053605000000200 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org

Thoughts on financial derivatives, systematic risk, and central banking: a review of some recent developments

This paper critically reviews the literature examining the role of central banks in addressing systemic risk. We focus on how the growth in derivatives markets might affect that role. Analysis of systemic risk policy is hampered by the lack of a consensus theory of systemic risk. We propose a set of criteria that theories of systemic risk should satisfy, and we critically discuss a number of theories proposed in the literature. We argue that concerns about systemic effects of derivatives appear somewhat overstated. In particular, derivative markets do not appear unduly prone to systemic disturbances. Furthermore, derivative trading may increase informational efficiency of financial markets and provide instruments for more effective risk management. Both of these effects tend to reduce the danger of systemic crises. However, the complexity of derivative contracts (in particular, their high implicit leverage and nonlinear payoffs) do complicate the process of regulatory oversight. In addition, derivatives may make the conduct of monetary policy more difficult. Most theories of systemic risk imply a critical role for central banks as the ultimate provider of liquidity. However, the countervailing danger of moral hazard must be recognized and addressed through vigilant supervision.Banks and banking, Central ; Derivative securities ; Risk

The art and science of priority-setting: assessing the value of Public Health England’s Prioritization Framework

Background Findings are presented from the evaluation of Public Health England’s (PHE) Prioritization Framework (PF) aimed to assist local authority commissioners with their public health investment and disinvestment decisions. The study explored the take up of the PF in three early adopter local authority settings. Methods Semi-structured interviews (n = 30) across three local authorities supplemented by participant observation of workshops. Results Participants acknowledged that the PF provided a systematic means of guiding priority-setting and one that encouraged transparency over investment and disinvestment decisions. The role performed by PHE and its regional teams in facilitating the process was especially welcomed and considered critical to the adoption process. However, uptake of the PF required a significant investment of time and commitment from public health teams at a time when resources were stretched. The impact of the political environment in the local government was a major factor determining the likely uptake of the PF. Ensuring committed leadership and engagement from senior politicians and officers was regarded as critical to success. Conclusions The study assessed the value and impact of PHE’s PF tool in three early adopter local authorities. Further research could explore the value of the tool in aiding investment and disinvestment decisions and its impact on spending

Compassion in the emergency department. Part 3: enabling and supporting the delivery of compassionate care

In the final part of this three-part series, David Hunter and colleagues analyse the factors that enable and support delivery of compassionate care in emergency departments (EDs). Part one reported findings from doctoral-level research that explored nursing students' experiences of compassionate care in EDs, while part two considered the barriers to such care identified by the students. This article highlights and celebrates the ways in which emergency nurses provide compassionate care despite the challenges they face