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Score function estimation is the cornerstone of both training and sampling from diffusion generative models. Despite this fact, the most commonly used estimators are either biased neural network approximations or high variance Monte Carlo…

We present an approach for imputation of missing items in multivariate categorical data nested within households. The approach relies on a latent class model that (i) allows for household level and individual level variables, (ii) ensures…

统计方法学 · 统计学 2018-07-05 Olanrewaju Akande , Jerome Reiter , Andrés F. Barrientos

Network surveys of key populations at risk for HIV are an essential part of the effort to understand how the epidemic spreads and how it can be prevented. Estimation of population values from the sample data has been probematical, however,…

应用统计 · 统计学 2019-09-12 Steve Thompson

The main approach to inference for multivariate extremes consists in approximating the joint upper tail of the observations by a parametric family arising in the limit for extreme events. The latter may be expressed in terms of…

统计方法学 · 统计学 2015-06-17 Raphaël Huser , Anthony C. Davison , Marc G. Genton

The amount of large-scale real data around us increase in size very quickly and so does the necessity to reduce its size by obtaining a representative sample. Such sample allows us to use a great variety of analytical methods, whose direct…

社会与信息网络 · 计算机科学 2014-02-10 Milos Kudelka , Sarka Zehnalova , Jan Platos

We consider density estimators based on the nearest neighbors method applied to discrete point distibutions in spaces of arbitrary dimensionality. If the density is constant, the volume of a hypersphere centered at a random location is…

天体物理仪器与方法 · 物理学 2013-01-24 Przemek Wozniak , Andrzej Kruszewski

In this article we propose a new variable selection method for analyzing data collected from longitudinal sample surveys. The procedure is based on the survey-weighted quadratic inference function, which was recently introduced as an…

统计理论 · 数学 2021-05-04 Laura Dumitrescu , Wei Qian , J. N. K. Rao

Fractional imputation (FI) is a relatively new method of imputation for handling item nonresponse in survey sampling. In FI, several imputed values with their fractional weights are created for each missing item. Each fractional weight…

统计方法学 · 统计学 2017-10-11 Shu Yang , Jae Kwang Kim

Fields like public health, public policy, and social science often want to quantify the degree of dependence between variables whose relationships take on unknown functional forms. Typically, in fact, researchers in these fields are…

统计理论 · 数学 2019-12-10 Octavio César Mesner , Cosma Rohilla Shalizi

The conditional mutual information quantifies the conditional dependence of two random variables. It has numerous applications; it forms, for example, part of the definition of transfer entropy, a common measure of the causal relationship…

信息论 · 计算机科学 2024-04-15 Jake Witter , Conor Houghton

Objective: Researchers often use model-based multiple imputation to handle missing at random data to minimize bias while making the best use of all available data. However, there are sometimes constraints within the data that make…

统计方法学 · 统计学 2020-11-03 Chinchin Wang , Tyrel Stokes , Russell Steele , Niels Wedderkopp , Ian Shrier

Understanding how much each variable contributes to an outcome is a central question across disciplines. A causal view of explainability is favorable for its ability in uncovering underlying mechanisms and generalizing to new contexts.…

统计方法学 · 统计学 2026-03-09 Weihan Zhang , Zijun Gao

We demonstrate that a popular class of nonparametric mutual information (MI) estimators based on k-nearest-neighbor graphs requires number of samples that scales exponentially with the true MI. Consequently, accurate estimation of MI…

信息论 · 计算机科学 2015-03-09 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

We mainly study the M-estimation method for the high-dimensional linear regression model, and discuss the properties of M-estimator when the penalty term is the local linear approximation. In fact, M-estimation method is a framework, which…

概率论 · 数学 2018-10-31 Kai Wang , Yanling Zhu

The variance of the concentration in a sample can be estimated using knowledge of the particle masses, concentrations and the parameter for the dependent selection of particles. A number of variance estimators are constructed including a…

应用统计 · 统计学 2010-05-18 B. Geelhoed

Inference problems with incomplete observations often aim at estimating population properties of unobserved quantities. One simple way to accomplish this estimation is to impute the unobserved quantities of interest at the individual level…

统计方法学 · 统计学 2012-10-16 Vladimir N. Minin , John D. O'Brien , Arseni Seregin

Linear mixed-effects models are widely used in analyzing repeated measures data, including clustered and longitudinal data, where inferences of both fixed effects and variance components are of importance. Unlike the fixed effect inference…

统计方法学 · 统计学 2022-08-31 J. Zhang , W. Guo , J. S. Carpenter , Andrew Leroux , K. R. Merikangas , N. G. Martin , I. B. Hickie , H. Shou , H. Li

Nearest neighbor methods are a popular class of nonparametric estimators with several desirable properties, such as adaptivity to different distance scales in different regions of space. Prior work on convergence rates for nearest neighbor…

机器学习 · 计算机科学 2014-07-03 Kamalika Chaudhuri , Sanjoy Dasgupta

This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and strong dependency. A time-varying…

统计理论 · 数学 2010-11-12 Wilfredo Palma , Ricardo Olea

This paper investigates the large sample properties of local regression distribution estimators, which include a class of boundary adaptive density estimators as a prime example. First, we establish a pointwise Gaussian large sample…

计量经济学 · 经济学 2021-01-29 Matias D. Cattaneo , Michael Jansson , Xinwei Ma