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A weighted U-statistic based change point test for multivariate time series
In this paper we study the change point detection for the mean of multivariate time series. We construct the weighted U-statistic change point tests...
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Inference using an exact distribution of test statistic for random-effects meta-analysis
Random-effects meta-analysis serves to integrate the results of multiple studies with methods such as moment estimation and likelihood estimation...
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Adjusted Inference for the Spatial Scan Statistic
A modification is proposed to the usual inference test of the Kulldorff’s spatial scan statistic, incorporating additional information about the size...
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The Scan Statistic for Multidimensional Data and Social Media Applications
This chapter reviews the literature on the scan statistic with particular emphasis on its application. The chapter considers the application of the...
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An algebraic theory of contrasts for Neyman’s modified chi-square statistic
The use of Pearson’s chi-square goodness of fit statistic is well established in the analysis of contingency tables. This statistic measures the...
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A New Algorithm for the Partition of Pearson’s Chi-Squared Statistic for Multiway Contingency Table
Pearson’s chi-squared statistic is one of the most common statistical tools used to assess the association between two or more categorical variables...
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Calibrating the Scan Statistic with Size-Dependent Critical Values
It is known that the scan statistic with variable window size favors the detection of signals with small spatial extent and there is a corresponding...
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An Updated Wilcoxon–Mann–Whitney Test
The Wilcoxon–Mann–Whitney test, also known as the Wilcoxon rank–sum test and the Mann-Whitney U test, is a non–parametric method used to compare...
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The Behrens-Fisher Statistic
In this brief chapter, we introduce the Behrens-Fisher statistic for testing equality of means, and demonstrate that it is asymptotically standard...
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A Distance-Based Statistic for Goodness-of-Fit Assessment
The modelling of count data in real world scenarios often requires models that address over-dispersion. Within the generalized linear modeling...
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Test of Homogeneity
The quest for effective tests of homogeneity within mixture models has a long history. An illustrative example provided by Hartigan shows that the...
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A Frequency-Domain Test for Multivariate White Noise
In this paper, we propose a novel frequency-domain test for multivariate time series white noise. The proposed test statistic is constructed by...
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Contrasts for Neyman’s Modified Chi-Square Statistic in One-Way Contingency Tables
Pearson’s chi-square goodness-of-fit statistic is very popular in the analysis of contingency tables. Loisel and Takane (Behaviormetrika 50:335–360,...
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Mean test for high-dimensional data based on covariance matrix with linear structures
In this work, the mean test is considered under the condition that the number of dimensions p is much larger than the sample size n when the...
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Two-sample test of stochastic block models via the maximum sampling entry-wise deviation
The paper discusses a statistical problem related to testing for differences between two networks with community structures. While existing methods...
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Goodness of fit test for Rayleigh distribution with censored observations
We develop new goodness of fit tests for Rayleigh distribution based on fixed point characterization. We use U-Statistic theory to derive the test...
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A generalized Hosmer–Lemeshow goodness-of-fit test for a family of generalized linear models
Generalized linear models (GLMs) are very widely used, but formal goodness-of-fit (GOF) tests for the overall fit of the model seem to be in wide use...
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Two-sample mean vector projection test in high-dimensional data
Statistical hypothesis testing for high-dimensional data poses challenges in recent inference. The Hotelling test is commonly applied to the...
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On the test of covariance between two high-dimensional random vectors
We consider a problem of association test in high dimension. A new test statistic is proposed based on the covariance of random vectors and its...
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A two sample nonparametric test for variability via empirical likelihood methods
Comparison of variability or dispersion of two distributions is the major focus of this work. To this end, we consider a two sample testing problem...
