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Empirical economic research frequently applies maximum likelihood estimation in cases where the likelihood function is analytically intractable. Most of the theoretical literature focuses on maximum simulated likelihood (MSL) estimators,…

计量经济学 · 经济学 2019-08-13 Michael Griebel , Florian Heiss , Jens Oettershagen , Constantin Weiser

We introduce two new estimators of the bivariate Hurst exponent in the power-law cross-correlations setting -- the cross-periodogram and local $X$-Whittle estimators -- as generalizations of their univariate counterparts. As the…

统计金融 · 定量金融 2014-12-11 Ladislav Kristoufek

In this paper, we consider objective Bayesian inference of the generalized exponential distribution using the independence Jeffreys prior and validate the propriety of the posterior distribution under a family of structured priors. We…

统计方法学 · 统计学 2023-09-26 Aojun Li , Keying Ye , Min Wang

Generalized linear mixed models are powerful tools for analyzing clustered data, where the unknown parameters are classically (and most commonly) estimated by the maximum likelihood and restricted maximum likelihood procedures. However,…

统计理论 · 数学 2023-03-23 Andrea M. Bratsberg , Magne Thoresen , Abhik Ghosh

The subject of tail estimation for randomly censored data from a heavy tailed distribution receives growing attention, motivated by applications for instance in actuarial statistics. The bias of the available estimators of the extreme value…

统计方法学 · 统计学 2017-05-19 Jan Beirlant , Gaonyalelwe Maribe , Andrehette Verster

In this paper we obtain an adjusted version of the likelihood ratio test for errors-in-variables multivariate linear regression models. The error terms are allowed to follow a multivariate distribution in the class of the elliptical…

统计理论 · 数学 2011-08-05 Tatiane F. N. Melo , Silvia L. P. Ferrari

This paper proposes a general family of estimators for estimating the population mean in systematic sampling in the presence of non-response adapting the family of estimators proposed by Khoshnevisan et al. (2007). In this paper we have…

统计理论 · 数学 2013-05-09 M. K. Chaudhary , Sachin Malik , Jayant Singh , Rajesh Singh

In this paper we discuss improved estimators for the regression and the dispersion parameters in an extended class of dispersion models (J{\o}rgensen, 1996). This class extends the regular dispersion models by letting the dispersion…

统计方法学 · 统计学 2010-01-14 Alexandre B. Simas , Andréa V. Rocha , Wagner Barreto-Souza

We present a general result giving us families of incomplete and boundedly complete families of discrete distributions. For such families, the classes of unbiased estimators of zero with finite variance and of parametric functions which…

统计理论 · 数学 2009-09-25 Sumitra Purkayastha

The quasi-maximum likelihood estimation is a commonly-used method for estimating GARCH parameters. However, such estimators are sensitive to outliers and their asymptotic normality is proved under the finite fourth moment assumption on the…

统计理论 · 数学 2020-09-03 Hang Liu , Kanchan Mukherjee

We consider estimation in a class of semiparametric transformation models for right--censored data. These models gained much attention in survival analysis; however, most authors consider only regression models derived from frailty…

统计理论 · 数学 2007-06-13 Dorota M. Dabrowska

In this paper, we further develop the approach, originating in [14 (arXiv:1311.6765),20 (arXiv:1604.02576)], to "computation-friendly" hypothesis testing and statistical estimation via Convex Programming. Specifically, we focus on…

统计理论 · 数学 2018-04-16 Anatoli Juditsky , Arkadi Nemirovski

In recent literature, when modeling for information freshness in remote estimation settings, estimators have been mainly restricted to the class of martingale estimators, meaning the remote estimate at any time is equal to the most recently…

信息论 · 计算机科学 2025-05-06 Sahan Liyanaarachchi , Sennur Ulukus , Nail Akar

This paper studies inference for quadratic forms of linear regression coefficients with clustered data and many covariates. Our framework covers three important special cases: instrumental variables regression with many instruments and…

计量经济学 · 经济学 2026-02-18 Michal Kolesár , Pengjin Min , Wenjie Wang , Yichong Zhang

A procedure for asymptotic bias reduction of maximum likelihood estimates of generic estimands is developed. The estimator is realized as a plug-in estimator, where the parameter maximizes the penalized likelihood with a penalty function…

统计理论 · 数学 2024-03-26 Masayo Y. Hirose , Shuhei Mano

An approach is suggested defining effective sums of divergent series in the form of self-similar exponential approximants. The procedure of constructing these approximants from divergent series with arbitrary noninteger powers is developed.…

统计力学 · 物理学 2009-10-31 V. I. Yukalov , S. Gluzman

Binary regression models represent a popular model-based approach for binary classification. In the Bayesian framework, computational challenges in the form of the posterior distribution motivate still-ongoing fruitful research. Here, we…

统计计算 · 统计学 2023-09-06 Augusto Fasano , Niccolò Anceschi , Beatrice Franzolini , Giovanni Rebaudo

We revisit the problem of parameter estimation for discrete probability distributions with values in $\mathbb{Z}^d$. To this end, we adapt a technique called Stein's Method of Moments to discrete distributions which often gives closed-form…

统计理论 · 数学 2025-10-22 Adrian Fischer

We discuss some estimates of subelliptic type related with vector fields satisfying the H\"ormander condition. Our approach makes use of a class of approximate exponentials maps. Such kind of estimates arises naturally in the study of…

偏微分方程分析 · 数学 2019-12-10 Annamaria Montanari , Daniele Morbidelli

This paper proposes a novel uncertainty quantification framework for computationally demanding systems characterized by a large vector of non-Gaussian uncertainties. It combines state-of-the-art techniques in advanced Monte Carlo sampling…

统计计算 · 统计学 2018-03-05 Phaedon-Stelios Koutsourelakis
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