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Weighted version of strong law of large numbers for a class of random variables and its applications
In this paper, the single index weighted version of Marcinkiewicz–Zygmund type strong law of large numbers and the double index weighted version of...
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Hidden regular variation under full and strong asymptotic dependence
Data exhibiting heavy-tails in one or more dimensions is often studied using the framework of regular variation. In a multivariate setting this...
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On Bernoulli trials with unequal harmonic success probabilities
A Bernoulli scheme with unequal harmonic success probabilities is investigated, together with some of its natural extensions. The study includes the...
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A hybrid landmark Aalen-Johansen estimator for transition probabilities in partially non-Markov multi-state models
Multi-state models are increasingly being used to model complex epidemiological and clinical outcomes over time. It is common to assume that the...
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Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors
In this paper, the strong laws of large numbers for partial sums and weighted sums of negatively superadditive-dependent (NSD, in short) random...
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Fundamental Concepts of Probability and Statistics
This chapter recalls the fundamental concepts and results of probability theory and statistical theory. These are essential to understand and use the...
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Linear Regression
Linear regression relates predictor variables and outcome variables, such as gene copy numbers and the level of a biomarker. The assumed linearity of...
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Asymptotic tools and projections
Some crucial results about limit theorems in probability theory, including those about convergence in probability, almost everywhere convergence, and...
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Shrinkage Methods
Expression ( 6.51 ) indicates how prediction ability is governed by bias and variance. As models...
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Questionnaires: Public views on deaccessioning
Main topics. In how far do Italian museum visitors appreciate their museums selling part of their stock (deaccessioning)? Of primary interest was...
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An Analysis of Extremes: Semiparametric Efficiency in Regression
Let Y denote a response variable and X denote a covariate. We consider statistical inferences in semiparametric regression models, where the...
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Data Ethics and Compliance
Everybody knows that most countries don’t allow for organizations to reject job applicants for their skin color or religious belief. The reasons are...
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What’s Changing the World? A Demographer’s Perspective
Population growth around the world between now and 2100 will be led by develo** countries. Over 75% of the growth will occur in develo**...
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Bayesian Latent Gaussian Models
Bayesian latent Gaussian models are Bayesian hierarchical models that assign Gaussian prior densities to the latent parameters. In this chapter, we...
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Generalized Integrated Cauchy Functional Equation with Applications to Probability Models
In this communication, we address the problem of solving a generalized integrated Cauchy functional equation (for short, ICFE). Special cases of this...
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Derivation of Feynman–Kac and Bloch–Torrey Equations in a Trap** Medium
We derive rigorously the fractional counterpart of the Feynman–Kac equation for a transport problem with trap** events characterized by fat-tailed...
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Multimodal Learning
The widespread use of technology in the digital age continually shapes how individuals consume knowledge and learn. In the digital age, ideas are...
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Introduction and Preliminaries
Over the last sixty years, fiber bundle models (FBMs) have played an indispensable role in “Modelling Critical and Catastrophic Phenomena.” The...