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Ordinal Trees and Random Forests: Score-Free Recursive Partitioning and Improved Ensembles
Existing ordinal trees and random forests typically use scores that are assigned to the ordered categories, which implies that a higher scale level...
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Limiting distributions of the likelihood ratio test statistics for independence of normal random vectors
Consider the likelihood ratio test (LRT) statistics for the independence of sub-vectors from a p -variate normal random vector. We are devoted to...
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Stochastic Comparisons of Weighted Sums of Random Variables
Let X = (X 1, …, X n) be a random vector of observations which may not be independent or identically distributed, and let...
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Complete and Complete f -Moment Convergence for Arrays of Rowwise END Random Variables and Some Applications
In this paper, complete convergence and complete f -moment convergence for arrays of rowwise Extended Negatively Dependent (END, in short) random...
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Fourier approach to goodness-of-fit tests for Gaussian random processes
A new goodness-of-fit (GoF) test is proposed and investigated for the Gaussianity of the observed functional data. The test statistic is the...
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Representation of Random Phenomena
We will begin this chapter by better defining the formalism, notation and terminology that will accompany us throughout the rest of the book. Without...
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Two Tests of Significance for Preferred Direction in Tree Radial Growth Under a Linear-Circular Regression Model with Correlated Random Errors
To analyze tree growth statistically through annual ring widths measured in 2-D horizontal trunk sections, we propose two tests of significance...
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Maximum Likelihood Estimation of Parameters of a Random Variable Using Monte Carlo Methods
In a parametric estimation framework, this paper proposes different properties for the maximum likelihood estimators of unknown parameters of a given...
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Simple Random Sampling and Bootstrap**
The statistical inferences drawn about a population of interest are dependent on the actual sample of data. An underlying assumption in many...
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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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On the number of failed components in a series–parallel system upon system failure when the lifetimes are DNID discrete random variables
In this paper, we study properties of a series–parallel system. The component lifetimes may be dependent and non-identically distributed (DNID)...
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High-dimensional modeling of spatial and spatio-temporal conditional extremes using INLA and Gaussian Markov random fields
The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and...
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Robust order selection of mixtures of regression models with random effects
Finite mixtures of regression models with random effects are a very flexible statistical tool to model data, as these models allow to model the...
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Extremal clustering in non-stationary random sequences
It is well known that the distribution of extreme values of strictly stationary sequences differ from those of independent and identically...
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Tests for circular symmetry of complex-valued random vectors
We propose tests for the null hypothesis that the law of a complex-valued random vector is circularly symmetric. The test criteria are formulated as
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Optimal Designs for Prediction in Two Treatment Groups Random Coefficient Regression Models
The subject of this work is two treatment groups random coefficient regression models, in which observational units receive some group-specific...
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Understanding nonsense correlation between (independent) random walks in finite samples
Consider two independent random walks. By chance, there will be spells of association between them where the two processes move in the same...
