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Empirical likelihood ratio tests for homogeneity of component lifetime distributions based on system lifetime data
In system reliability, practitioners may be interested in testing the homogeneity of the component lifetime distributions based on system lifetimes...
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em-Test for Homogeneity
The modified likelihood ratio test represents a significant advancement over the limitations of conventional likelihood ratio tests. It is applicable...
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Data Depth-Based Nonparametric Tests for Multivariate Scales
The problem of comparing the scales (dispersions) of multivariate samples has been well investigated in the literature, and several parametric and...
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Nonparametric estimator of the tail dependence coefficient: balancing bias and variance
A theoretical expression is derived for the mean squared error of a nonparametric estimator of the tail dependence coefficient, depending on a...
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Bayesian modeling via discrete nonparametric priors
The availability of complex-structured data has sparked new research directions in statistics and machine learning. Bayesian nonparametrics is at the...
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Nonparametric Estimation of Trend for Stochastic Processes Driven by G-Brownian Motion with Small Noise
The present paper deals with the problem of nonparametric estimation of the trend for stochastic processes driven by G -Brownian motion with small...
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Test for Homogeneity of Random Objects on Manifolds with Applications to Biological Shape Analysis
Methods of testing for the equality of two distributions on a manifold are unveiled in this paper. One defines the extrinsic energy distance...
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Measuring and testing homogeneity of distributions by characteristic distance
Technological advances have enabled us to collect a lot of complex data objects, where homogeneity structure among these objects is widely used in...
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Homogeneity tests for one-way models with dependent errors under correlated groups
We consider the problem of testing for the existence of fixed effects and random effects in one-way models, where the groups are correlated and the...
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A Nonparametric Two-Sample Test for Scale Using Linear Combination of Quadratic and Linear Function of Placements
We propose a distribution-free test for the nonparametric two-sample scale problem. We discuss the problem of testing the homogeneity of two...
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Adaptive tests for ANOVA in Fisher–von Mises–Langevin populations under heteroscedasticity
Fisher–von Mises–Langevin distributions are widely used for modeling directional data. In this paper, the problem of testing homogeneity of mean...
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A Jackknife Empirical Likelihood Approach for Testing the Homogeneity of K Variances
A nonparametric test for equality of K variances has been proposed by develo** the jackknife empirical likelihood ratio. The standard limiting...
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Statistical Methods
Chapter 2 describes two models of statistical inference: the population model first put forward by J. Neyman and...
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Analysis of type I and II error rates of Bayesian and frequentist parametric and nonparametric two-sample hypothesis tests under preliminary assessment of normality
Testing for differences between two groups is among the most frequently carried out statistical methods in empirical research. The traditional...
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Testing marginal homogeneity of a continuous bivariate distribution with possibly incomplete paired data
We discuss the testing problem of homogeneity of the marginal distributions of a continuous bivariate distribution based on a paired sample with...
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Matched-Pair Tests
Chapter 5 describes connections, equivalencies, and relationships relating to matched-pair tests of null...
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Entropy regularization in probabilistic clustering
Bayesian nonparametric mixture models are widely used to cluster observations. However, one major drawback of the approach is that the estimated...
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Nonparametric MANOVA in meaningful effects
Multivariate analysis of variance (MANOVA) is a powerful and versatile method to infer and quantify main and interaction effects in metric...
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Automatic data-based bin width selection for rose diagram
A rose diagram is a representation that circularly organizes data with the bin width as the central angle. This diagram is widely used to display and...
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Extreme Values of Non-stationary Time Series
This chapter considers the problem of quantifying extreme natural hazards in non-stationary situations, namely outside the traditional framework. For...