The study examines long-term changes and short-term fluctuations in ambient temperature of North East India during 1901-2003 located in part of the Eastern Himalayan region of the Brahmaputra Basin. Long-term linear trends were examined with the Mann-Kendal rank statistic and moving average method while the short-term fluctuations were studied by applying Cramer’s test. The results showed signi...

"This article considers four aspects of IRM [international retirement migration]. The first considers the limited literature on this... topic and identifies the distinctiveness of both its international and European features. The second reviews the existing statistical data for north-south IRM in Europe, particularly from the UK to Italy, Malta, Portugal and Spain; it establishes both the scale...

Group sequential designs are often used for periodically assessing treatment efficacy during the course of a clinical trial. Following a group sequential test, P-values computed under the assumption that the data were gathered according to a fixed sample design are no longer uniformly distributed under the null hypothesis of no treatment effect. Various sample space orderings have been proposed...

For comparing the distribution of two samples with multiple endpoints, O'Brien (1984) proposed rank-sum-type test statistics. Huang et al. (2005) extended these statistics to the general nonparametric Behrens-Fisher hypothesis problem and obtained improved test statistics by replacing the ad hoc variance with the asymptotic variance of the rank-sum statistics. In this paper we generalize the wo...

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...