Measurements of separation among probability densities or random variables

Distance between two probability densities or two random variables is a well established concept in statistics. The present paper considers generalizations of distances to separation measurements for three or more elements in a function space. Geometric intuition and examples from hypothesis testing suggest lower and upper bounds for such measurements in terms of pairwise distances; but also in L_p spaces some useful non-pairwise separation measurements always lie within these bounds. Examples of such separation measurements are the Bayes probability of correct classification among several arbitrary distributions, and the expected range among several random variables.     

Violence towards caregivers of persons with developmental disabilities

OBJECTIVE: Violent and disruptive acts committed by persons with developmental disabilities are a potential work environment problem for caregivers. This study developed and tested an instrument for describing and analyzing violence among persons with developmental disabilities. METHODS: Personnel from four units of one facility recorded daily on a simple form all violent and disruptive acts occurring in a limited range of situations. RESULTS: Acts of violence were associated with a small minority of individuals, but grossly underreported and unrecognized in formal reporting systems. None of the nearly 3000 incidents recorded during the six-week study required sick leave. Violent and disruptive acts occurred most often when an individual was requested to do something he or she did not want to do, when the individual was denied the opportunity to do something they did want to do and when waiting or under-stimulated. Personnel used the data in discussing countermeasures that could be integrated with the care and treatment of the individual. CONCLUSION: Hitting, kicking, pinching etc. of personnel are a work environment problem due to their high frequency and effects upon employee morale. The instrument and procedures can be used to reduce incidents of violence, which would improve the working environment of employees and assist persons with developmental disabilities as they move from institutional environments.     

Visualities of strategic vision: Lookout Mountain Laboratory and the deterrent state from nuclear tests to Vietnam

This article considers two visual cultures of America’s deterrent state in the Cold War, the cinematic and cybernetic, by following the history of the 600th Photographic Squadron of the United States (US) Air Force in Vietnam and its 1950s progenitor, the 1352nd Motion Picture Squadron, or Lookout Mountain Laboratory. We argue that cinematic and cybernetic visual cultures were at the heart of a Cold War visual alliance that was also a Cold War visual contest, and cameras were situated at the centre of the contest. Specifically, the cinematic and the cybernetic represent two distinct visualities of vision, as the Cold War cameras of the Air Force assumed either transcendental or transcendent positions. The former, in keeping with a cinematic visuality, was oriented towards casting America as a sight to see in the context of its war on communism, with cameras operating as a condition of possibility for the construction of the ‘image’, whereas the latter, in keeping with a cybernetic visuality, was oriented towards the American appetite to see, to monitor and survey the world over, with cameras operating as processors of ‘information’. The history of the 600th Photographic Squadron and its progenitor, Lookout Mountain Laboratory, suggests that the transition from cinematic to cybernetic visualities of vision was part of a broader transformation in the US Cold War state from a nuclear deterrent state to a supra-nuclear deterrent state.     

Notes and Communications RESOLVING CERTAIN DIFFICULTIES AND IMPROVING THE CLASSIFICATION POWER OF LP DISCRIMINANT ANALYSIS FORMULATIONS

In certain settings, difficulties arise that limit the effectiveness of LP formulations for the discriminant problem. Explanations and possible remedies have been offered, but these have had only limited success. We provide a simple way to overcome these problems based on an appropriate use and interpretation of normalizations. In addition, we demonstrate a normalization that is invariant under all translations of the problem data, providing a stability property not shared by previous approaches. Finally, we discuss the possibility of using more general models to improve discrimination.