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Choosing the Best Arm with Guaranteed Confidence
We consider the problem of finding, through adaptive sampling, which of n populations (arms) has the largest mean. Our objective is to determine a...
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Priority statement and some properties of t-lgHill estimator
We acknowledge the priority on the introduction of the formula of t-lgHill estimator for the positive extreme value index. We provide a novel...
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Rates of the Strong Uniform Consistency for the Kernel-Type Regression Function Estimators with General Kernels on Manifolds
AbstractIn the present paper, we develop strong uniform consistency results for the generic kernel (including the kernel density estimator) on...
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A flexible parametric approach for analyzing arbitrarily censored data that are potentially subject to left truncation under the proportional hazards model
The proportional hazards (PH) model is, arguably, the most popular model for the analysis of lifetime data arising from epidemiological studies,...
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On logistic regression with right censored data, with or without competing risks, and its use for estimating treatment effects
Simple logistic regression can be adapted to deal with right-censoring by inverse probability of censoring weighting (IPCW). We here compare two such...
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Error density estimation in high-dimensional sparse linear model
This paper is concerned with the error density estimation in high-dimensional sparse linear model, where the number of variables may be larger than...
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Review of Estimators for Regression Models
In this chapter, and throughout the book, one can assume there are n subjects/units yi : i = 1, 2, …, n. Let us assume these are independent events,... -
On dealing with the unknown population minimum in parametric inference
A myriad of physical, biological and other phenomena are better modeled with semi-infinite distribution families, in which case not knowing the...
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Background in Probability
We begin our work with a summary of many essential concepts from probability theory. The chapter starts with different viewpoints on the very... -
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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Estimation of poverty and inequality in small areas: review and discussion
Never better said, a correct diagnosis is crucial for patient recovery. In the eradication of poverty, which is the first of the sustainable...
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Dynamic sampling from a discrete probability distribution with a known distribution of rates
In this paper, we consider several efficient data structures for the problem of sampling from a dynamically changing discrete probability...
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Strong convergence properties for weighted sums of m-asymptotic negatively associated random variables and statistical applications
In this paper, we establish a general result on complete moment convergence and the Marcinkiewicz–Zygmund-type strong law of large numbers for...
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Variable selection for multivariate functional data via conditional correlation learning
Variable selection involves selecting truly important predictors from p -dimensional multivariate functional predictors in functional predictive...
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Maximum Likelihood Estimation of State-Space Models
We have seen in Chap. 2 that most state-space models depend on some parameter θ; typically . In certain applications, θ is known, while in... -
Nonparametric estimation of univariate and bivariate survival functions under right censoring: a survey
Survival analysis studies time to event data, also called survival data in biomedical research. The main challenge in the analysis of survival data...
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Complete convergence for arrays of rowwise END random variables and its statistical applications under sub-linear expectations
In this paper, we study the complete convergence for arrays of rowwise extended negatively dependent (END, for short) random variables under...
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Efficient and robust estimation for autoregressive regression models using shape mixtures of skewt normal distribution
Multiple linear regression model based on normally distributed and uncorrelated errors is a popular statistical tool with application in various...