Much work has been done on the statistical analysis of text. In some cases reported in the literature, inappropriate statistical methods have been used, and statistical significance of results have not been addressed. In particular, asymptotic normality assumptions have often been used unjustifiably, leading to flawed results. This assumption of normal distribution limits the ability to analyze...

These are notes of a mini-course given in the Summer School on Symbolic Dynamics, Temuco (Chile), January 1997. The aim is to present some results concerning asymptotic limit laws for the occurrence of asymptotically rare events associated with some symbolic dynamical systems. The results will be mainly presented for shifts of nite type, but there will be left questions of whether these results...

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Class imbalance data usually suffers from data intrinsic properties beyond that of imbalance alone. The problem is intensified with larger levels of imbalance most commonly found in observational studies. Extreme cases of class imbalance are commonly found in many domains including fraud detection, mammography of cancer and post term births. These rare events are usually the most costly or have...

We formulate some general network and risk management problems in a Bayesian context and point out some of the essential features We argue and demonstrate that when one is interested in rare events the Bayesian and frequentist approaches can lead to very di erent strategies the former typically leads to strate gies which are more conservative We also present an asymptotic formula for the predic...

A structural monitoring system has been developed for use on high value engineering structures, which is particularly suitable for use in remote locations where rare events such as accidental impacts, seismic activity or terrorist attack might otherwise go

Time series pattern discovery is of great importance in a large variety of environmental and engineering applications, from supporting predictive models to helping to understand hidden underlying processes. This work develops a multiresolution time series method for extracting patterns in weather records, particular temperature data. The topic is important, as, given a warming climate, morbidit...

Statistics of central tendency and dispersion may not capture relevant or desired characteristics of the distribution of continuous phenomena and, thus, they may not adequately describe temporal patterns of change. Here, we present two methodological approaches that can help to identify temporal changes in environmental regimes. First, we use higher-order statistical moments (skewness and kurto...

In extreme events such as the Egyptian 2011 uprising, the online social media technology enables many people from heterogeneous backgrounds to join the event in response to the crisis. This form of collectivity (online crowd) is usually formed spontaneously with minimum constraints in the relationships among the members. The theories of collective behavior suggest that the pattern of behavior i...