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Multivariate density estimation is a popular technique in statistics with wide applications including regression models allowing for heteroskedasticity in conditional variances. The estimation problems become more challenging when…

Methodology · Statistics 2018-08-15 Zhen Li , Lili Wu , Weilian Zhou , Sujit Ghosh

Multivariate meta-analysis is gaining prominence in evidence synthesis research because it enables simultaneous synthesis of multiple correlated outcome data, and random-effects models have generally been used for addressing between-studies…

Methodology · Statistics 2021-07-14 Hisashi Noma , Kengo Nagashima , Toshi A. Furukawa

In the context of regressing a response $Y$ on a predictor $X$, we consider estimating the local modes of the distribution of $Y$ given $X=x$ when $X$ is prone to measurement error. We propose two nonparametric estimation methods, with one…

Methodology · Statistics 2016-10-28 Haiming Zhou , Xianzheng Huang

In the analysis of survey data, sampling weights are needed for consistent estimation of the population. However, the original inverse probability weights from the survey sample design are typically modified to account for non-response, to…

Computation · Statistics 2025-08-19 Matthew R. Williams , Terrance D. Savitsky

Estimating the mixing density of a latent mixture model is an important task in signal processing. Nonparametric maximum likelihood estimation is one popular approach to this problem. If the latent variable distribution is assumed to be…

Methodology · Statistics 2024-03-01 Shijie Wang , Minsuk Shin , Ray Bai

In this paper the elicitation of probabilities from human experts is considered as a measurement process, which may be disturbed by random 'measurement noise'. Using Bayesian concepts a second order probability distribution is derived…

Artificial Intelligence · Computer Science 2013-04-05 Gerhard Paaß

This paper proposes a general family of estimators for estimating the population mean in systematic sampling in the presence of non-response adapting the family of estimators proposed by Khoshnevisan et al. (2007). In this paper we have…

Statistics Theory · Mathematics 2013-05-09 M. K. Chaudhary , Sachin Malik , Jayant Singh , Rajesh Singh

Sampled network data are widely used in empirical research because collecting complete network information is costly. However, empirical analyses based on sampled networks may lead to biased estimators. We propose a nonparametric imputation…

Econometrics · Economics 2026-05-12 Ge Sun , Weisheng Zhang

We propose an empirical likelihood ratio test for nonparametric model selection, where the competing models may be nested, nonnested, overlapping, misspecified, or correctly specified. It compares the squared prediction errors of models…

Methodology · Statistics 2022-01-21 Jiancheng Jiang , Jiang Xuejun , Wang Haofeng

The presence of interference renders classic Fisher randomization tests infeasible due to nuisance unknowns. To address this issue, we propose imputing the nuisance unknowns and computing Fisher randomization p-values multiple times, then…

Methodology · Statistics 2024-11-14 Tingxuan Han , Ke Zhu , Hanzhong Liu , Ke Deng

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

Methodology · Statistics 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

An additive model-assisted nonparametric method is investigated to estimate the finite population totals of massive survey data with the aid of auxiliary information. A class of estimators is proposed to improve the precision of the well…

Methodology · Statistics 2019-03-19 Li Wang , Suojin Wang

This paper proposes a new method for estimating the joint probability mass function of a pair of discrete random variables. This estimator is used to construct joint Shannon R\'enyi-Tsallis entropies, and the mutual information estimates of…

Methodology · Statistics 2020-01-14 Amadou Diadie Ba , Gane Samb Lo , Cheikh Tidiane Seck

With nonignorable nonresponse, an effective method to construct valid estimators of population parameters is to use a covariate vector called instrument that can be excluded from the nonresponse propensity but are still useful covariate…

Methodology · Statistics 2025-09-17 Ji Chen , Jun Shao

We present new results for consistency of maximum likelihood estimators with a focus on multivariate mixed models. Our theory builds on the idea of using subsets of the full data to establish consistency of estimators based on the full…

Statistics Theory · Mathematics 2019-02-13 Karl Oskar Ekvall , Galin L. Jones

Estimating the prevalence of a disease is necessary for evaluating and mitigating risks of its transmission within or between populations. Estimates that consider how prevalence changes with time provide more information about these risks…

Applications · Statistics 2021-11-12 Braden Scherting , Alison Peel , Raina Plowright , Andrew Hoegh

In this paper, we introduce a flexible and widely applicable nonparametric entropy-based testing procedure that can be used to assess the validity of simple hypotheses about a specific parametric population distribution. The testing…

Econometrics · Economics 2022-01-19 Ron Mittelhammer , George Judge , Miguel Henry

This study proposes a computationally efficient semiparametric distribution estimator, which is a slight modification of the naive mixture proposed by Schuster and Yakowitz (1985) and Olkin and Spiegelman (1987). The proposed method is…

Statistics Theory · Mathematics 2025-09-12 Taku Moriyama

Survey sampling plays an important role in the efficient allocation and management of resources. The essence of survey sampling lies in acquiring a sample of data points from a population and subsequently using this sample to estimate the…

Methodology · Statistics 2024-01-29 Jonne Pohjankukka , Sakari Tuominen , Jukka Heikkonen

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

Statistics Theory · Mathematics 2015-08-18 M. Wojtyś , G. Marra
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