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This paper proposes a local representation for Empirical Likelihood (EL). EL admits the classical local linear quadratic representation by its likelihood ratio property. A local estimator is derived by using the new representation.…

统计理论 · 数学 2014-03-27 Zhengyuan Gao

Asymptotic properties of scatter estimators for elliptical graphical models are studied. Such models impose a given pattern of zeros on the inverse of the shape matrix of an elliptically distributed random vector. In particular, we…

统计理论 · 数学 2015-06-16 Daniel Vogel , David E. Tyler

Predictive mean matching imputation is popular for handling item nonresponse in survey sampling. In this article, we study the asymptotic properties of the predictive mean matching estimator of the population mean. For variance estimation,…

统计方法学 · 统计学 2018-01-16 Shu Yang , Jae Kwang Kim

Markov regime switching models have been widely used in numerous empirical applications in economics and finance. However, the asymptotic distribution of the maximum likelihood estimator (MLE) has not been proven for some empirically…

统计理论 · 数学 2018-06-29 Hiroyuki Kasahara , Katsumi Shimotsu

Many processes in biology, chemistry, physics, medicine, and engineering are modeled by a system of differential equations. Such a system is usually characterized via unknown parameters and estimating their 'true' value is thus required. In…

统计理论 · 数学 2015-07-14 Itai Dattner , Chris A. J. Klaassen

This paper considers maximum likelihood (ML) estimation in a large class of models with hidden Markov regimes. We investigate consistency of the ML estimator and local asymptotic normality for the models under general conditions which allow…

统计理论 · 数学 2021-12-07 Demian Pouzo , Zacharias Psaradakis , Martin Sola

This paper is concerned with the analysis and implementation of robust finite element approximation methods for mixed formulations of linear elasticity problems where the elastic solid is almost incompressible. Several novel a posteriori…

数值分析 · 数学 2018-06-15 Arbaz Khan , Catherine E. Powell , David J. Silvester

We study the existence, strong consistency and asymptotic normality of estimators obtained from estimating functions, that are p-dimensional martingale transforms. The problem is motivated by the analysis of evolutionary clustered data,…

统计理论 · 数学 2020-12-01 Laura Dumitrescu , Ioana Schiopu-Kratina

We study generalized additive partial linear models, proposing the use of polynomial spline smoothing for estimation of nonparametric functions, and deriving quasi-likelihood based estimators for the linear parameters. We establish…

统计理论 · 数学 2011-12-13 Li Wang , Xiang Liu , Hua Liang , Raymond J. Carroll

Maximum likelihood estimators are often of limited practical use due to the intensive computation they require. We propose a family of alternative estimators that maximize a stochastic variation of the composite likelihood function. Each of…

机器学习 · 计算机科学 2010-03-04 Joshua V Dillon , Guy Lebanon

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

统计理论 · 数学 2015-07-07 Yu. Yu. Linke

We propose a general and scalable approximate sampling strategy for probabilistic models with discrete variables. Our approach uses gradients of the likelihood function with respect to its discrete inputs to propose updates in a…

机器学习 · 计算机科学 2021-06-08 Will Grathwohl , Kevin Swersky , Milad Hashemi , David Duvenaud , Chris J. Maddison

Distributed systems have been widely used in practice to accomplish data analysis tasks of huge scales. In this work, we target on the estimation problem of generalized linear models on a distributed system with nonrandomly distributed…

统计方法学 · 统计学 2020-04-07 Feifei Wang , Danyang Huang , Yingqiu Zhu , Hansheng Wang

In this paper, we consider the estimation of generalized linear models with covariates that are missing completely at random. We propose a model averaging estimation method and prove that the corresponding model averaging estimator is…

统计理论 · 数学 2017-10-26 Qingfeng Liu , Miaomiao Zheng

This paper proposes a closed-form optimal estimator based on the theory of estimating functions for a class of linear ARCH models. The estimating function (EF) estimator has the advantage over the widely used maximum likelihood (ML) and…

统计理论 · 数学 2008-12-05 Ajay Chandra

The maximum likelihood principle is widely used in statistics, and the associated estimators often display good properties. indeed maximum likelihood estimators are guaranteed to be asymptotically efficient under mild conditions. However in…

统计理论 · 数学 2016-12-01 Christophe Culan , Claude Adnet

Theoretical guarantees are established for a standard estimator in a semi-parametric finite mixture model, where each component density is modeled as a product of univariate densities under a conditional independence assumption. The focus…

统计理论 · 数学 2025-11-07 Marie Du Roy de Chaumaray , Michael Levine , Matthieu Marbac

Using stochastic gradient search and the optimal filter derivative, it is possible to perform recursive (i.e., online) maximum likelihood estimation in a non-linear state-space model. As the optimal filter and its derivative are…

统计理论 · 数学 2021-01-05 Vladislav Z. B. Tadic , Arnaud Doucet

In many complex statistical models maximum likelihood estimators cannot be calculated. In the paper we solve this problem using Markov chain Monte Carlo approximation of the true likelihood. In the main result we prove asymptotic normality…

统计理论 · 数学 2018-08-09 Błażej Miasojedow , Wojciech Niemiro , Wojciech Rejchel

Many estimators of dynamic discrete choice models with persistent unobserved heterogeneity have desirable statistical properties but are computationally intensive. In this paper we propose a method to quicken estimation for a broad class of…

计量经济学 · 经济学 2025-04-09 Jackson Bunting , Takuya Ura