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The Poisson compound decision problem is a long-standing problem in statistics, where empirical Bayes methodologies are commonly used to estimate Poisson's means in static or batch domains. In this paper, we study the Poisson compound…

统计方法学 · 统计学 2025-06-10 Stefano Favaro , Sandra Fortini

This paper develops an asymptotic theory for two-step debiased machine learning (DML) estimators in generalised method of moments (GMM) models with general multiway clustered dependence, without relying on cross-fitting. While cross-fitting…

计量经济学 · 经济学 2026-04-07 Kaicheng Chen , Harold D. Chiang

We investigate the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution in a sequential setup. The aim is to jointly infer the true hypothesis and the true parameter while using on…

信号处理 · 电气工程与系统科学 2024-02-02 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

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

In this paper we are interested in the Maximum Likelihood Estimator (MLE) of the vector parameter of an autoregressive process of order $p$ with regular stationary Gaussian noise. We exhibit the large sample asymptotical properties of the…

统计理论 · 数学 2013-04-23 Alexandre Brouste , Chunhao Cai , Marina Kleptsyna

Current Targeted Maximum Likelihood Estimation (TMLE) methods used to analyze time-to-event data estimate the survival probability for each time point separately, which result in estimates that are not necessarily monotone. In this paper,…

统计方法学 · 统计学 2019-06-14 Weixin Cai , Mark J. van der Laan

A compound Poisson process whose jump measure and intensity are unknown is observed at finitely many equispaced times. We construct a purely data-driven estimator of the L\'evy density $\nu$ through the spectral approach using general…

统计理论 · 数学 2019-02-12 Alberto J. Coca

The paper deals with planar segment processes given by a density with respect to the Poisson process. Parametric models involve reference distributions of directions and/or lengths of segments. These distributions generally do not coincide…

统计理论 · 数学 2017-08-30 Viktor Benes , Jakub Vecera , Milan Pultar

In this paper we study application of Le Cam's one-step method to parameter estimation in ordinary differential equations models. This computationally simple technique can serve as an alternative to numerical evaluation of the popular…

统计方法学 · 统计学 2018-04-20 Itai Dattner , Shota Gugushvili

In the classic measurement error framework, covariates are contaminated by independent additive noise. This paper considers parameter estimation in such a linear errors-in-variables model where the unknown measurement error distribution is…

统计方法学 · 统计学 2023-10-24 Linh H. Nghiem , Cornelis J. Potgieter

Sequential Monte Carlo Samplers are a class of stochastic algorithms for Monte Carlo integral estimation w.r.t. probability distributions, which combine elements of Markov chain Monte Carlo methods and importance sampling/resampling…

概率论 · 数学 2007-05-23 Andreas Eberle , Carlo Marinelli

Linear mixed models with large imbalanced crossed random effects structures pose severe computational problems for maximum likelihood estimation and for Bayesian analysis. The costs can grow as fast as $N^{3/2}$ when there are N…

统计方法学 · 统计学 2017-05-30 K. Gao , A. B. Owen

Moment approximation methods are gaining increasing attention for their use in the approximation of the stochastic kinetics of chemical reaction systems. In this paper we derive a general moment expansion method for any type of propensities…

分子网络 · 定量生物学 2015-06-15 Angelique Ale , Paul Kirk , Michael P. P. Stumpf

We propose a two-step pseudo-maximum likelihood procedure for semiparametric single-index regression models where the conditional variance is a known function of the regression and an additional parameter. The Poisson single-index…

统计理论 · 数学 2017-04-27 Marian Hristache , Weiyu Li , Valentin Patilea

By integrating two powerful methods of density reduction and intrinsic dimensionality estimation, a new data-driven method, referred to as OLPP-MLE (orthogonal locality preserving projection-maximum likelihood estimation), is introduced for…

统计方法学 · 统计学 2020-12-15 Jingxin Zhang , Maoyin Chen , Hao Chen , Xia Hong , Donghua Zhou

We study a multi-server queueing system with a periodic arrival rate and customers whose joining decision is based on their patience and a delay proxy. Specifically, each customer has a patience level sampled from a common distribution.…

概率论 · 数学 2024-03-25 Shreehari Anand Bodas , Michel Mandjes , Liron Ravner

A variety of estimators for the parameters of the Generalized Pareto distribution, the approximating distribution for excesses over a high threshold, have been proposed, always assuming the underlying data to be independent. We recently…

应用统计 · 统计学 2016-05-26 Lukas Martig , Jürg Hüsler

We propose a principal components regression method based on maximizing a joint pseudo-likelihood for responses and predictors. Our method uses both responses and predictors to select linear combinations of the predictors relevant for the…

统计方法学 · 统计学 2021-08-10 Karl Oskar Ekvall

We discuss the possibility of applying some standard statistical methods (the least square method, the maximum likelihood method, the method of statistical moments for estimation of parameters) to deterministically chaotic low-dimensional…

数据分析、统计与概率 · 物理学 2009-11-10 V. F. Pisarenko , D. Sornette

The problem to establish not only the asymptotic distribution results for statistical estimators but also the moment convergence of the estimators has been recognized as an important issue in advanced theories of statistics. One of the main…

统计理论 · 数学 2012-07-02 Ilia Negri , Yoichi Nishiyama