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Random utility theory models an agent's preferences on alternatives by drawing a real-valued score on each alternative (typically independently) from a parameterized distribution, and then ranking the alternatives according to scores. A…

多智能体系统 · 计算机科学 2012-11-13 Hossein Azari Soufiani , David C. Parkes , Lirong Xia

We introduce a general covariate-assisted statistical ranking model within the Plackett--Luce framework. Unlike previous studies focusing on individual effects with fixed covariates, our model allows covariates to vary across comparisons.…

统计方法学 · 统计学 2025-03-20 Pinjun Dong , Ruijian Han , Binyan Jiang , Yiming Xu

Standard maximum likelihood estimation cannot be applied to discrete energy-based models in the general case because the computation of exact model probabilities is intractable. Recent research has seen the proposal of several new…

机器学习 · 计算机科学 2012-02-20 Benjamin Marlin , Nando de Freitas

This paper is about models for a vector of probabilities whose elements must have a multiplicative structure and sum to 1 at the same time; in certain applications, as basket analysis, these models may be seen as a constrained version of…

统计理论 · 数学 2018-04-17 Antonio Forcina

We study maximum-likelihood-type estimation for diffusion processes when the coefficients are nonrandom and observation occurs in nonsynchronous manner. The problem of nonsynchronous observations is important when we consider the analysis…

统计理论 · 数学 2022-07-04 Teppei Ogihara

The elicitation of an ordinal judgment on multiple alternatives is often required in many psychological and behavioral experiments to investigate preference/choice orientation of a specific population. The Plackett-Luce model is one of the…

统计方法学 · 统计学 2016-10-10 Cristina Mollica , Luca Tardella

The maximum likelihood estimator (MLE) is pivotal in statistical inference, yet its application is often hindered by the absence of closed-form solutions for many models. This poses challenges in real-time computation scenarios,…

统计方法学 · 统计学 2025-04-16 Pedro L. Ramos , Eduardo Ramos , Francisco A. Rodrigues , Francisco Louzada

Spatial-temporal linear model and the corresponding likelihood-based statistical inference are important tools for the analysis of spatial-temporal lattice data. In this paper, we study the asymptotic properties of maximum likelihood…

统计理论 · 数学 2012-07-27 Xiang Zhang , Yanbing Zheng

The Bradley-Terry-Luce (BTL) model is a benchmark model for pairwise comparisons between individuals. Despite recent progress on the first-order asymptotics of several popular procedures, the understanding of uncertainty quantification in…

统计理论 · 数学 2022-08-11 Chao Gao , Yandi Shen , Anderson Y. Zhang

Conditional copula models allow dependence structures to vary with observed covariates while preserving a separation between marginal behavior and association. We study the uniform asymptotic behavior of kernel-weighted local likelihood…

统计理论 · 数学 2026-01-06 Mathias Nthiani Muia

The association between two random variables is often of primary interest in statistical research. In this paper semiparametric models for the association between random vectors X and Y are considered which leave the marginal distributions…

统计理论 · 数学 2012-04-16 Angelika Franke , Gerhard Osius

The analysis of rank ordered data has a long history in the statistical literature across a diverse range of applications. In this paper we consider the Extended Plackett-Luce model that induces a flexible (discrete) distribution over…

应用统计 · 统计学 2020-02-17 Stephen R. Johnson , Daniel A. Henderson , Richard J. Boys

Maximum likelihood estimation has been extensively used in the joint analysis of repeated measurements and survival time. However, there is a lack of theoretical justification of the asymptotic properties for the maximum likelihood…

统计理论 · 数学 2007-06-13 Donglin Zeng , Jianwen Cai

We consider the problem of estimating the proportion $\theta$ of true null hypotheses in a multiple testing context. The setup is classically modeled through a semiparametric mixture with two components: a uniform distribution on interval…

应用统计 · 统计学 2013-01-09 Van Hanh Nguyen , Catherine Matias

We propose a general approach to construct weighted likelihood estimating equations with the aim of obtaining robust parameter estimates. We modify the standard likelihood equations by incorporating a weight that reflects the statistical…

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

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

机器学习 · 统计学 2014-02-21 Keisuke Yamazaki

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

统计理论 · 数学 2008-12-18 Hongling Zhou , Kung-Yee Liang

In this article we study the asymptotic predictive optimality of a model selection criterion based on the cross-validatory predictive density, already available in the literature. For a dependent variable and associated explanatory…

统计理论 · 数学 2008-12-18 Arijit Chakrabarti , Tapas Samanta

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…

统计理论 · 数学 2019-02-13 Karl Oskar Ekvall , Galin L. Jones
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