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This article studies two regularized robust estimators of scatter matrices proposed (and proved to be well defined) in parallel in (Chen et al., 2011) and (Pascal et al., 2013), based on Tyler's robust M-estimator (Tyler, 1987) and on…

概率论 · 数学 2015-01-20 Romain Couillet , Matthew R. McKay

This paper discusses the simultaneous inference of mean parameters in a family of distributions with quadratic variance function. We first introduce a class of semiparametric/parametric shrinkage estimators and establish their asymptotic…

统计理论 · 数学 2016-03-31 Xianchao Xie , S. C. Kou , Lawrence Brown

The method proposed by Bernardo and Smith [2000] to approximate reference priors by simulation was analyzed with the objective of improving the procedure in order to obtain consistent estimators and to allow the estimation of asymptotic…

应用统计 · 统计学 2017-04-07 Emiliano Díaz

Quantile estimation is central when interest lies in thresholds or tail behavior rather than the mean. When exact measurement is costly but units can be ranked cheaply, ranked set sampling (RSS) provides an attractive alternative to simple…

统计方法学 · 统计学 2026-05-05 Mohammad Jafari Jozani , Ehsan Zamanzade , Reza Modarre

Data subsampling has become widely recognized as a tool to overcome computational and economic bottlenecks in analyzing massive datasets. We contribute to the development of adaptive design for estimation of finite population…

统计方法学 · 统计学 2024-07-08 Henrik Imberg , Xiaomi Yang , Carol Flannagan , Jonas Bärgman

Semiparametric exponential family proposed by Ning et al. (2017) is an extension of the parametric exponential family to the case with a nonparametric base measure function. Such a distribution family has potential application in some areas…

统计方法学 · 统计学 2017-12-01 Lu Lin , Lili Liu , Xia Cui

The problem of estimating a proportion of objects with particular attribute in a finite population is considered. This paper shows an example of the application of estimation fraction using new proposed sample allocation in a population…

应用统计 · 统计学 2019-03-19 Dominik Sieradzki , Wojciech Zieliński

We show that the variance of the Monte Carlo estimator that is importance sampled from an exponential family is a convex function of the natural parameter of the distribution. With this insight, we propose an adaptive importance sampling…

统计方法学 · 统计学 2015-01-12 Ernest K. Ryu , Stephen P. Boyd

In data-driven learning and inference tasks, the high cost of acquiring samples from the target distribution often limits performance. A common strategy to mitigate this challenge is to augment the limited target samples with data from a…

统计理论 · 数学 2025-02-06 Barron Han , Danil Akhtiamov , Reza Ghane , Babak Hassibi

A model-assisted semiparametric method of estimating finite population totals is investigated to improve the precision of survey estimators by incorporating multivariate auxiliary information. The proposed superpopulation model is a…

统计方法学 · 统计学 2019-03-19 Lily Wang

One of the major challenges in multivariate analysis is the estimation of population covariance matrix from sample covariance matrix (SCM). Most recent covariance matrix estimators use either shrinkage transformations or asymptotic results…

统计方法学 · 统计学 2019-12-10 Samruddhi Deshmukh , Amartansh Dubey

Epidemiologic screening programs often make use of tests with small, but non-zero probabilities of misdiagnosis. In this article, we assume the target population is finite with a fixed number of true cases, and that we apply an imperfect…

统计方法学 · 统计学 2024-04-22 Lin Ge , Yuzi Zhang , Lance A. Waller , Robert H. Lyles

The paper proposes some robust estimators of the finite population mean. Such estimators are particularly suitable in the presence of some outlying observations. Included as special cases of our general result are robust versions of the…

统计理论 · 数学 2008-12-18 Malay Ghosh

This paper introduces smoothed pseudo-population bootstrap methods for the purposes of variance estimation and the construction of confidence intervals for finite population quantiles. In an i.i.d. context, it has been shown that resampling…

统计方法学 · 统计学 2025-09-30 Vanessa McNealis , Christian Léger

In surveys, the interest lies in estimating finite population parameters such as population totals and means. In most surveys, some auxiliary information is available at the estimation stage. This information may be incorporated in the…

统计方法学 · 统计学 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

A new estimation method is presented for network sampling designs, including Respondent Driven Sampling (RDS) and Snowball (SB) sampling. These types of link-tracing designs are essential for studies of hidden populations, such as people at…

统计方法学 · 统计学 2019-04-24 Steve Thompson

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

最优化与控制 · 数学 2025-02-17 Sandra Pieraccini , Tommaso Vanzan

Both the median-based classifier and the quantile-based classifier are useful for discriminating high-dimensional data with heavy-tailed or skewed inputs. But these methods are restricted as they assign equal weight to each variable in an…

机器学习 · 统计学 2019-10-30 Yuanhao Lai , Ian McLeod

A popular regularized (shrinkage) covariance estimator is the shrinkage sample covariance matrix (SCM) which shares the same set of eigenvectors as the SCM but shrinks its eigenvalues toward its grand mean. In this paper, a more general…

统计方法学 · 统计学 2020-02-13 Esa Ollila , Daniel P. Palomar , Frederic Pascal

This paper introduces a new biased estimator for the negative binomial regression model that is a generalization of Liu-type estimator proposed for the linear model in [12]. Since the variance of the maximum likelihood estimator (MLE) is…

统计方法学 · 统计学 2016-04-11 Yasin Asar