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This paper establishes the almost sure convergence and asymptotic normality of levels and differenced quasi maximum-likelihood (QML) estimators of dynamic panel data models. The QML estimators are robust with respect to initial conditions,…

统计理论 · 数学 2017-02-03 Robert F. Phillips

For a GJR-GARCH specification with a generic innovation distribution we derive analytic expressions for the first four conditional moments of the forward and aggregated returns and variances. Moment for the most commonly used GARCH models…

统计金融 · 定量金融 2018-09-07 Carol Alexander , Emese Lazar , Silvia Stanescu

We prove an abstract infinite dimensional KAM theorem, which could be applied to prove the existence and linear stability of small-amplitude quasi-periodic solutions for one dimensional forced Kirchhoff equations with periodic boundary…

动力系统 · 数学 2025-09-08 Yin Chen , Jiansheng Geng , Guangzhao Zhou

The quantum ratchet effect in fully chaotic systems is approached by studying, for the first time, \emph{statistical} properties of the ratchet current over well-defined sets of initial states. Natural initial states in a semiclassical…

混沌动力学 · 物理学 2010-03-16 Itzhack Dana

In this paper, we consider semi-Markov processes whose transition times and transition probabilities depend on a small parameter $\varepsilon$. Understanding the asymptotic behavior of such processes is needed in order to study the…

概率论 · 数学 2024-11-08 Leonid Koralov , Ishfaaq Mohammed Imtiyas

In this paper we consider two generalizations of Lancaster's (Review of Economic Studies, 2002) Modified Maximum Likelihood estimator (MMLE) for the panel AR(1) model with fixed effects, arbitrary initial conditions, and strictly exogenous…

计量经济学 · 经济学 2026-01-06 Hugo Kruiniger

We characterize the conditions under which a multi-time quantum process with a finite temporal resolution can be approximately described by an equilibrium one. By providing a generalization of the notion of equilibration on average, where a…

量子物理 · 物理学 2020-10-02 Pedro Figueroa-Romero , Kavan Modi , Felix A. Pollock

In cluster-specific studies, ordinary logistic regression and conditional logistic regression for binary outcomes provide maximum likelihood estimator (MLE) and conditional maximum likelihood estimator (CMLE), respectively. In this paper,…

统计理论 · 数学 2020-05-14 Zhulin He , Yuyuan Ouyang

This paper introduces a quasi-likelihood ratio testing procedure for diffusion processes observed under nonsynchronous sampling schemes. High-frequency data, particularly in financial econometrics, are often recorded at irregular time…

统计理论 · 数学 2025-03-25 Teppei Ogihara , Futo Ueno

This article provides an introduction to the asymptotic analysis of covariance parameter estimation for Gaussian processes. Maximum likelihood estimation is considered. The aim of this introduction is to be accessible to a wide audience and…

统计理论 · 数学 2020-09-16 François Bachoc

A novel estimation approach for a general class of semi-parametric multivariate time series models is introduced where the conditional mean is modeled through parametric functions. The focus of the estimation is the conditional mean…

统计方法学 · 统计学 2025-07-21 Mirko Armillotta

This paper studies quasi Bayesian estimation and uncertainty quantification for an unknown function that is identified by a nonparametric conditional moment restriction. We derive contraction rates for a class of Gaussian process priors.…

计量经济学 · 经济学 2023-11-08 Sid Kankanala

We propose a novel targeted maximum likelihood estimator (TMLE) for quantiles in semiparametric missing data models. Our proposed estimator is locally efficient, $\sqrt{n}$-consistent, asymptotically normal, and doubly robust, under…

统计方法学 · 统计学 2016-08-23 Iván Díaz

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

We consider the estimation of the affine parameter (and power-law exponent) in the preferential attachment model with random initial degrees. We derive the likelihood, and show that the maximum likelihood estimator (MLE) is asymptotically…

统计理论 · 数学 2017-03-09 Fengnan Gao , Aad van der Vaart

In this paper, a proof of asymptotic stability for the combined system-optimizer dynamics associated with a class of real-time methods for equality constrained nonlinear model predictive control is presented. General Q-linearly convergent…

最优化与控制 · 数学 2020-05-13 Andrea Zanelli , Quoc Tran-Dinh , Moritz Diehl

This paper considers an augmented double autoregressive (DAR) model, which allows null volatility coefficients to circumvent the over-parameterization problem in the DAR model. Since the volatility coefficients might be on the boundary, the…

计量经济学 · 经济学 2019-05-07 Feiyu Jiang , Dong Li , Ke Zhu

In this note, we give a short information-theoretic proof of the consistency of the Gaussian maximum likelihood estimator in linear auto-regressive models. Our proof yields nearly optimal non-asymptotic rates for parameter recovery and…

机器学习 · 计算机科学 2024-09-11 Ingvar Ziemann

In this manuscript, we provide local $L^q$-estimates for the gradient of solutions of a class of quasilinear equations whose principal part lacks strong monotonicity. These estimates are used to establish uniform large-scale $L^q$-estimates…

偏微分方程分析 · 数学 2025-04-29 Lukas Koch , Mathias Schäffner

We consider the problem of frequency estimation of the periodic signal multiplied by a stationary Gaussian process (Ornstein-Uhlenbeck) and observed in the presence of the white Gaussian noise. We show the consistency and asymptotic…

统计理论 · 数学 2017-10-10 O. V. Chernoyarov , Yu. A. Kutoyants