Suppose that we are monitoring incoming observations for a change in mean via a cusum test statistic. The usual nonparametric methods give first and second order approximations for the oneand two-sided cases. We show how to improve the order of these approximations for linear statistics.

Gene selection is an important issue in analyzing multiclass microarray data. Among many proposed selection methods, the traditional ANOVA F test statistic has been employed to identify informative genes for both class prediction (classification) and discovery problems. However, the F test statistic assumes an equal variance. This assumption may not be realistic for gene expression data. This p...

3. Introduction. The third page begins your proposal proper with a brief one-page introduction. It again has a full title at the top, but usually omits your name and affiliation. On this page, which introduces the big idea behind the proposed study, there are usually three paragraphs: a. Para #1: Opening interest grabber that uses some interesting factoid – anecdote, statistic, personal experie...

After reviewing the standard hypothesis test and the matched filter technique to identify gravitational waves under Gaussian noises, we introduce two methods to deal with non-Gaussian stationary noises. We formulate the likelihood ratio function under weakly non-Gaussian noises through the Edgeworth expansion and strongly non-Gaussian noises in terms of a new method we call Gaussian mapping whe...

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Standardizing the empirical distribution function yields a statistic with norm square that matches the chi-square test statistic. To show this one may use the covariance matrix of the empirical distribution which, at any finite set of points, is shown to have an inverse which is tridiagonal. Moreover, a representation of the inverse is given which is a product of bidiagonal matrices correspondi...

STUDY OBJECTIVE Most studies of place effects on health have followed the multilevel analytical approach that investigates geographical variations of health phenomena by fragmenting space into arbitrary areas. This study examined whether analysing geographical variations across continuous space with spatial modelling techniques and contextual indicators that capture space as a continuous dimens...

the present study aimed at investigating the existence of long memory properties in ten emerging stock markets across the globe. when return series exhibit long memory, it indicates that observed returns are not independent over time. if returns are not independent, past returns can help predict future returns, thereby violating the market efficiency hypothesis. it poses a serious challenge to ...

This paper describes an approach to Bayesian sensitivity analysis that uses an innuence statistic and an outlier statistic to assess the sensitivity of a model to perturbations. The basic outlier statistic is a Bayes factor, while the innuence statistic depends strongly on the purpose of the analysis. The task of innuence analysis is aided by having an interpretable innuence statistic. Two alte...