with two parameters, a (location) and b > 0 (scale), [2, p. 50]. The Cauchy distribution occurs in numerous applications, see, e.g., [3, p. 159]. A recent interest in C(a, b) is due to its “fat tails”, accounting for outliers (rare events) better than the more concentrated distributions commonly used, in particular the normal distribution. Indeed, these “rare” events with significant consequenc...

It is shown that the sample paths of Poisson shot noise with heavy-tailed semiexponential distributions satisfy a large deviation principle with a rate function that is insensitive to the shot shape. This demonstrates that, on the scale of large deviations, paths to rare events do not depend on the shot shape.

BACKGROUND The 2013 ACC/AHA guideline recommended either no statin therapy or moderate-intensity statin therapy (MST) for intermediate risk patients-those with 5-7.5% 10-year risk and without cardiovascular disease (CVD), hypercholesterolemia or diabetes. The guideline further suggested that the therapy choice be based on patient-clinician discussions of risks and benefits. Since low-density li...

BACKGROUND C-reactive protein (CRP) may help to refine global risk assessment for coronary heart disease (CHD), particularly among persons who are at intermediate risk on the basis of traditional risk factors alone. PURPOSE To assist the U.S. Preventive Services Task Force (USPSTF) in determining whether CRP should be incorporated into guidelines for CHD risk assessment. DATA SOURCES MEDLIN...

Abstra t. Early risk predi tion involves three di erent aspe ts to be onsidered when an automati lassi er is implemented for this task: a) support for lassi ation with partial information read up to di erent time steps, b) support for dealing with unbalan ed data sets and ) a poli y to de ide when a do ument ould be lassi ed as belonging to the relevant lass with a reasonable on den e. In this ...

Most juridical systems contain the principle that an act is only unlawful if the agent conducting the act has a `guilty mind' (`mens rea'). Different law systems distinguish di erent modes of mens rea. For instance, American law distinguishes between `knowingly' performing a criminal act, `recklessness', `strict liability', etc. I will show we can formalize several of these categories. The form...

In many real world applications, systematic analysis of rare events, such as credit card frauds and adverse drug reactions, is very important. Their low occurrence rate in large databases often makes it difficult to identify the risk factors from straightforward application of associations and sequential pattern discovery. In this paper we introduce a heuristic to guide the search for interesti...

Suppose that the integers are assigned i.i.d. random variables f! x g (taking values in the unit interval), which serve as an environment. This environment deenes a random walk fX n g (called a RWRE) which, when at x, moves one step to the right with probability ! x , and one step to the left with probability 1 ? ! x. Solomon (1975) determined the almost-sure asymptotic speed v (=rate of escape...

Forecaster perceptions of major convective outbreaks include the notion that these events occur within relatively large regions of meteorological conditions favorable for the development of significant severe weather, particularly tornadoes. With recent studies developing a rigorous and scientifically repeatable method of identifying these events and distinguishing them from intermediate or mar...

A model is developed to study the in vivo intermediate filament organization in terms of repartition between four different structural states: soluble proteins, particles, short, and long filaments. An analysis is conducted, showing that the system has a unique, globally asymptotically stable equilibrium. By means of sensitivity analysis, the influence of parameters on the system is studied. It...