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Maximum likelihood is the most widely used statistical estimation technique. Recent work by the authors introduced a general methodology for the construction of estimators for functionals in parametric models, and demonstrated improvements…

统计方法学 · 统计学 2014-09-29 Jiantao Jiao , Kartik Venkat , Yanjun Han , Tsachy Weissman

This article is aimed at the investigation of some properties of the Weibull cumulative exposure model on multiple-step step-stress accelerated life test data. Although the model includes a probabilistic idea of Miner's rule in order to…

统计理论 · 数学 2012-10-23 Yoshio Komori

We consider a one dimensional sub-ballistic random walk evolving in a parametric i.i.d. random environment. We study the asymptotic properties of the maximum likelihood estimator (MLE) of the parameter based on a single observation of the…

概率论 · 数学 2014-05-13 Mikael Falconnet , Dasha Loukianova , Arnaud Gloter

To analyze longitudinal zero-inflated count data, we extend existing models by introducing marginalized zero-inflated Poisson (MZIP) models with random effects, which explicitly capture the marginal effect of covariates and address…

统计方法学 · 统计学 2025-12-01 Keunbaik Lee , Eun Jin Jang , Dipak Dey

Maximum likelihood estimation (MLE) of latent variable models is often recast as the minimization of a free energy functional over an extended space of parameters and probability distributions. This perspective was recently combined with…

机器学习 · 计算机科学 2024-06-05 Jen Ning Lim , Juan Kuntz , Samuel Power , Adam M. Johansen

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

机器学习 · 统计学 2016-01-01 Michael U. Gutmann , Jukka Corander

The methods of statistical physics are widely used for modelling complex networks. Building on the recently proposed Equilibrium Expectation approach, we derive a simple and efficient algorithm for maximum likelihood estimation (MLE) of…

统计计算 · 统计学 2020-02-12 Alexander Borisenko , Maksym Byshkin , Alessandro Lomi

Maximum entropy models, motivated by applications in neuron science, are natural generalizations of the $\beta$-model to weighted graphs. Similar to the $\beta$-model, each vertex in maximum entropy models is assigned a potential parameter,…

统计理论 · 数学 2014-10-28 Ting Yan , Yunpeng Zhao , Hong Qin

We consider the parameter estimation problem of a probabilistic generative model prescribed using a natural exponential family of distributions. For this problem, the typical maximum likelihood estimator usually overfits under limited…

机器学习 · 统计学 2020-10-13 Viet Anh Nguyen , Xuhui Zhang , Jose Blanchet , Angelos Georghiou

Composite likelihood estimation has an important role in the analysis of multivariate data for which the full likelihood function is intractable. An important issue in composite likelihood inference is the choice of the weights associated…

统计方法学 · 统计学 2015-12-15 Davide Ferrari , Chao Zheng

This paper defines a Maximum Likelihood Estimator (MLE) for the admittance matrix estimation of distribution grids, utilising voltage magnitude and power measurements collected only from common, unsychronised measuring devices (Smart…

系统与控制 · 电气工程与系统科学 2022-10-06 Lisa Laurent , Jean-Sébastien Brouillon , Giancarlo Ferrari-Trecate

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

统计方法学 · 统计学 2025-02-18 Yuki Itaya , Kenichi Hayashi

Single index linear models for binary response with random coefficients have been extensively employed in many econometric settings under various parametric specifications of the distribution of the random coefficients. Nonparametric…

计量经济学 · 经济学 2020-01-15 Jiaying Gu , Roger Koenker

We study zero-temperature Glauber dynamics on \Z^d, which is a dynamic version of the Ising model of ferromagnetism. Spins are initially chosen according to a Bernoulli distribution with density p, and then the states are continuously (and…

数学物理 · 物理学 2009-11-26 Robert Morris

We develop an empirical Bayes (EB) G-modeling framework for short-panel linear models with nonparametric prior for the random intercepts, slopes, dynamics, and non-spherical error variances. We establish identification and consistency of…

计量经济学 · 经济学 2026-02-13 Myunghyun Song , Sokbae Lee , Serena Ng

This paper develops a quasi-maximum likelihood estimator for genuinely unbalanced dynamic network panel data models with individual fixed effects. We propose a model that accommodates contemporaneous and lagged network spillovers, temporal…

统计方法学 · 统计学 2026-01-01 Zhijian Wang , Xingbai Xu , Tuo Liu

The main object of this article is to present an extension of the zero-inflated Poisson-Lindley distribution, called of zero-modified Poisson-Lindley. The additional parameter $\pi$ of the zero-modified Poisson-Lindley has a natural…

统计方法学 · 统计学 2018-11-28 Danillo Xavier , Manoel Santos-Neto , Marcelo Bourguignon , Vera Tomazella

Many data sets cannot be accurately described by standard probability distributions due to the excess number of zero values present. For example, zero-inflation is prevalent in microbiome data and single-cell RNA sequencing data, which…

统计方法学 · 统计学 2024-11-20 Max Beveridge , Zach Goldstein , Hee Cheol Chung

The zero-inflated logistic regression model accommodates binary responses with excess zeros, which often arise from a latent mixture of susceptible and insusceptible subpopulations or asymmetric misclassification of the response. The model…

统计方法学 · 统计学 2026-04-23 Yui Tomo , Shinto Eguchi , Daisuke Yoneoka

The parameter estimation of unnormalized models is a challenging problem. The maximum likelihood estimation (MLE) is computationally infeasible for these models since normalizing constants are not explicitly calculated. Although some…

机器学习 · 统计学 2020-06-09 Masatoshi Uehara , Takafumi Kanamori , Takashi Takenouchi , Takeru Matsuda