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We study maximum likelihood estimation in log-linear models under conditional Poisson sampling schemes. We derive necessary and sufficient conditions for existence of the maximum likelihood estimator (MLE) of the model parameters and…

统计理论 · 数学 2012-07-24 Stephen E. Fienberg , Alessandro Rinaldo

In studies involving lifetimes, observed survival times are frequently censored and possibly subject to biased sampling. In this paper, we model survival times under biased sampling (a.k.a., biased survival data) by a semi-parametric model,…

统计理论 · 数学 2007-06-13 Jiayang Sun , Bin Wang

Subsampling is an efficient method to deal with massive data. In this paper, we investigate the optimal subsampling for linear quantile regression when the covariates are functions. The asymptotic distribution of the subsampling estimator…

数值分析 · 数学 2022-05-06 Qian Yan , Hanyu Li , Chengmei Niu

This paper considers fixed effects (FE) estimation for linear panel data models under possible model misspecification when both the number of individuals, $n$, and the number of time periods, $T$, are large. We first clarify the probability…

统计理论 · 数学 2014-03-12 Antonio F. Galvao , Kengo Kato

We show that the mean-model parameter is always orthogonal to the error distribution in generalized linear models. Thus, the maximum likelihood estimator of the mean-model parameter will be asymptotically efficient regardless of whether the…

统计方法学 · 统计学 2020-10-08 Alan Huang , Paul J. Rathouz

We propose and study a maximum likelihood estimator of stochastic frontier models with endogeneity in cross-section data when the composite error term may be correlated with inputs and environmental variables. Our framework is a…

计量经济学 · 经济学 2024-04-02 Samuele Centorrino , María Pérez-Urdiales

We consider together the retrospective and the sequential change-point detection in a general class of integer-valued time series. The conditional mean of the process depends on a parameter $\theta^*$ which may change over time. We propose…

统计理论 · 数学 2020-07-29 Mamadou Lamine Diop , William Kengne

A compound Poisson process whose parameters are all unknown is observed at finitely many equispaced times. Nonparametric estimators of the jump and L\'evy distributions are proposed and functional central limit theorems using the uniform…

统计理论 · 数学 2017-02-06 Alberto J. Coca

We consider parameter estimation in finite hidden state space Markov models with time-dependent inhomogeneous noise, where the inhomogeneity vanishes sufficiently fast. Based on the concept of asymptotic mean stationary processes we prove…

统计理论 · 数学 2018-10-02 Manuel Diehn , Axel Munk , Daniel Rudolf

Nonparanormal models describe the joint distribution of multivariate responses via latent Gaussian, and thus parametric, copulae while allowing flexible nonparametric marginals. Some aspects of such distributions, for example conditional…

统计方法学 · 统计学 2025-12-16 Torsten Hothorn

Linear regression models have been extensively considered in the literature. However, in some practical applications they may not be appropriate all over the range of the covariate. In this paper, a more flexible model is introduced by…

统计理论 · 数学 2023-12-19 Graciela Boente , Florencia Leonardi , Daniela Rodriguez , Mariela Sued

This paper revisits the identification and estimation of a class of semiparametric (distribution-free) panel data binary choice models with lagged dependent variables, exogenous covariates, and entity fixed effects. We provide a novel…

计量经济学 · 经济学 2024-08-26 Christopher R. Dobronyi , Fu Ouyang , Thomas Tao Yang

This paper introduces a general framework for analyzing recurrent event data by modeling the conditional mean function of the recurrent event process as the solution to an Ordinary Differential Equation (ODE). This approach not only…

统计方法学 · 统计学 2025-07-29 Bo Meng , Weijing Tang , Gongjun Xu , Ji Zhu

We consider the non-parametric Poisson regression problem where the integer valued response $Y$ is the realization of a Poisson random variable with parameter $\lambda(X)$. The aim is to estimate the functional parameter $\lambda$ from…

统计理论 · 数学 2018-05-14 Martin Kroll

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

计量经济学 · 经济学 2025-11-25 Oguzhan Akgun , Ryo Okui

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

计量经济学 · 经济学 2022-01-28 Ayden Higgins , Koen Jochmans

In this work, we revisit the problem of active sequential prediction-powered mean estimation, where at each round one must decide the query probability of the ground-truth label upon observing the covariates of a sample. Furthermore, if the…

机器学习 · 统计学 2026-04-21 Maria-Eleni Sfyraki , Jun-Kun Wang

We consider covariance parameter estimation for a Gaussian process under inequality constraints (boundedness, monotonicity or convexity) in fixed-domain asymptotics. We address the estimation of the variance parameter and the estimation of…

统计理论 · 数学 2021-11-04 François Bachoc , Agnès Lagnoux , Andrés F. López-Lopera

Bivariate count data arise in several different disciplines (epidemiology, marketing, sports statistics, etc., to name but a few) and the bivariate Poisson distribution which is a generalization of the Poisson distribution plays an…

统计方法学 · 统计学 2023-01-12 Barry C. Arnold , Indranil Ghosh

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

系统与控制 · 计算机科学 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark