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We study a linear statistical model where outcomes depend on regressors with fixed population coefficients and observation-specific latent coefficients, along with measurement errors. A decision-maker estimates population coefficients and…

理论经济学 · 经济学 2026-04-15 Junnan He , Lin Hu , Matthew Kovach , Anqi Li

Two-phase sampling designs are frequently employed in epidemiological studies and large-scale health surveys. In such designs, certain variables are exclusively collected within a second-phase random subsample of the initial first-phase…

统计方法学 · 统计学 2024-03-25 Lingxiao Wang

In statistical classification and machine learning, as well as in social and other sciences, a number of measures of association have been proposed for assessing and comparing individual classifiers, raters, as well as their groups. In this…

机器学习 · 统计学 2020-02-04 Nadezhda Gribkova , Ričardas Zitikis

In this paper, a procedure is given for estimating the population mean in simple random sampling without replacement in the presence of auxiliary information. The mean squared error expressions of the proposed estimators have been derived…

统计理论 · 数学 2013-08-28 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary

We introduce a new family of estimators for unnormalized statistical models. Our family of estimators is parameterized by two nonlinear functions and uses a single sample from an auxiliary distribution, generalizing Maximum Likelihood Monte…

机器学习 · 计算机科学 2012-03-19 Miika Pihlaja , Michael Gutmann , Aapo Hyvarinen

A general family of estimators for estimating the population mean of the variable under study, which make use of known value of certain population parameter(s), is proposed. Under Simple Random Sampling Without Replacement (SRSWOR) scheme,…

Discovering a correlation from one variable to another variable is of fundamental scientific and practical interest. While existing correlation measures are suitable for discovering average correlation, they fail to discover hidden or…

机器学习 · 统计学 2017-11-22 Hyeji Kim , Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

Estimating mutual information (MI) is a fundamental task in data science and machine learning. Existing estimators mainly rely on either highly flexible models (e.g., neural networks), which require large amounts of data, or overly…

机器学习 · 计算机科学 2025-10-27 Yanzhi Chen , Zijing Ou , Adrian Weller , Michael U. Gutmann

A new method for combining several initial estimators of the regression function is introduced. Instead of building a linear or convex optimized combination over a collection of basic estimators $r_1,\dots,r_M$, we use them as a collective…

统计理论 · 数学 2019-05-24 Gérard Biau , Aurélie Fischer , Benjamin Guedj , James Malley

The partial correlation coefficient is a commonly used measure to assess the conditional dependence between two random variables. We provide a thorough explanation of the partial copula, which is a natural generalization of the partial…

统计方法学 · 统计学 2017-06-13 Fabian Spanhel , Malte S. Kurz

In a typical two-phase design, a random sample is drawn from the target population in phase 1, during which only a subset of variables is collected. In phase 2, a subsample of the phase-1 cohort is selected, and additional variables are…

统计方法学 · 统计学 2026-03-02 Sky Qiu , Susan Gruber , Pamela A. Shaw , Brian D. Williamson , Mark J. van der Laan

The change-plane Cox model is a popular tool for the subgroup analysis of survival data. Despite the rich literature on this model, there has been limited investigation into the asymptotic properties of the estimators of the…

统计理论 · 数学 2023-02-14 Shota Takeishi

We investigate the accuracy of the two most common estimators for the maximum expected value of a general set of random variables: a generalization of the maximum sample average, and cross validation. No unbiased estimator exists and we…

机器学习 · 统计学 2013-03-04 Hado van Hasselt

For an affine two factor model, we study the asymptotic properties of the maximum likelihood and least squares estimators of some appearing parameters in the so-called subcritical (ergodic) case based on continuous time observations. We…

统计理论 · 数学 2014-06-17 Matyas Barczy , Leif Doering , Zenghu Li , Gyula Pap

Recently Mart\'in Andr\'es and \'Alvarez Hern\'andez (2024) have proposed new estimators of various kappa coefficients. These estimators are based on the unbiased estimator of the expected index of agreement of each population coefficient.…

统计理论 · 数学 2024-04-10 Antonio Martín Andrés , María Álvarez Hernández

We consider parameter estimation, hypothesis testing and variable selection for partially time-varying coefficient models. Our asymptotic theory has the useful feature that it can allow dependent, nonstationary error and covariate…

统计理论 · 数学 2012-08-20 Ting Zhang , Wei Biao Wu

Auxiliary variable is extensively used in survey sampling to improve the precision of estimates. Whenever there is availability of auxiliary information, we want to utilize it in the method of estimation to obtain the most efficient…

应用统计 · 统计学 2014-10-14 Rajesh Singh , Prayas Sharma

In semivarying coefficient models for longitudinal/clustered data, usually of primary interest is usually the parametric component which involves unknown constant coefficients. First, we study semiparametric efficiency bound for estimation…

统计方法学 · 统计学 2015-09-15 Ming-Yen Cheng , Toshio Honda , Jialiang Li

Decision-making individuals are typically either an imitator, who mimics the action of the most successful individual(s), a conformist (or coordinating individual), who chooses an action if enough others have done so, or a nonconformist (or…

动力系统 · 数学 2022-02-11 Hien Le , Mohaddeseh Rajaee , Pouria Ramazi

In the standard stochastic block model for networks, the probability of a connection between two nodes, often referred to as the edge probability, depends on the unobserved communities each of these nodes belongs to. We consider a flexible…

计量经济学 · 经济学 2024-02-27 Yuichi Kitamura , Louise Laage