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This paper develops theory for feasible estimators of finite-dimensional parameters identified by general conditional quantile restrictions, under much weaker assumptions than previously seen in the literature. This includes instrumental…

统计理论 · 数学 2021-10-07 Luciano de Castro , Antonio F. Galvao , David M. Kaplan , Xin Liu

Statistical modeling of claim severity distributions is essential in insurance and risk management, where achieving a balance between robustness and efficiency in parameter estimation is critical against model contaminations. Two \( L…

统计方法学 · 统计学 2024-12-16 Chudamani Poudyal , Gokarna R. Aryal , Keshav Pokhrel

We develop two new estimators for a general class of stationary GARCH models with possibly heavy tailed asymmetrically distributed errors, covering processes with symmetric and asymmetric feedback like GARCH, Asymmetric GARCH, VGARCH and…

统计理论 · 数学 2015-07-29 Jonathan B. Hill

This paper extends the empirical minimum divergence approach for models which satisfy linear constraints with respect to the probability measure of the underlying variable (moment constraints) to the case where such constraints pertain to…

统计理论 · 数学 2015-02-20 Alexis Decurninge , Michel Broniatowski

We use Stein characterisations to derive new moment-type estimators for the parameters of several truncated multivariate distributions in the i.i.d. case; we also derive the asymptotic properties of these estimators. Our examples include…

统计理论 · 数学 2024-06-18 Adrian Fischer , Robert E. Gaunt , Yvik Swan

This paper proposes a Sieve Simulated Method of Moments (Sieve-SMM) estimator for the parameters and the distribution of the shocks in nonlinear dynamic models where the likelihood and the moments are not tractable. An important concern…

计量经济学 · 经济学 2023-01-19 Jean-Jacques Forneron

Many computer models contain unknown parameters which need to be estimated using physical observations. Kennedy and O'Hagan (2001) shows that the calibration method based on Gaussian process models proposed by Kennedy and O'Hagan (2001) may…

统计方法学 · 统计学 2015-07-28 Rui Tuo , C. F. Jeff Wu

The Teissier distribution, originally proposed by Teissier [31], was designed to model mortality due to aging in domestic animals. More recently, Krishna et al. [19] introduced the Unit Teissier (UT) distribution on the interval (0, 1)…

应用统计 · 统计学 2026-03-13 Zuber Akhter , Mohamed A. Abdelaziz , M. Z. Anis , Ahmed Z. Afify

Single index linear models for binary response with random coefficients have been extensively employed in many econometric settings under various parametric specifications of the distribution of the random coefficients. Nonparametric…

计量经济学 · 经济学 2020-01-15 Jiaying Gu , Roger Koenker

Method of moment estimators exhibit appealing statistical properties, such as asymptotic unbiasedness, for nonconvex problems. However, they typically require a large number of samples and are extremely sensitive to model misspecification.…

统计计算 · 统计学 2016-03-30 Dustin Tran , Minjae Kim , Finale Doshi-Velez

The primary objective of this scholarly work is to develop two estimation procedures - maximum likelihood estimator (MLE) and method of trimmed moments (MTM) - for the mean and variance of lognormal insurance payment severity data sets…

统计方法学 · 统计学 2024-02-22 Chudamani Poudyal

Parameter estimation in linear errors-in-variables models typically requires that the measurement error distribution be known (or estimable from replicate data). A generalized method of moments approach can be used to estimate model…

统计方法学 · 统计学 2018-12-04 Linh Nghiem , Michael Byrd , Cornelis Potgieter

Distributed algorithms, particularly Diffusion Least Mean Square, are widely favored for their reliability, robustness, and fast convergence in various industries. However, limited observability of the target can compromise the integrity of…

信号处理 · 电气工程与系统科学 2023-10-18 Mahdi Shamsi , Farokh Marvasti

We present an alternating least squares type numerical optimization scheme to estimate conditionally-independent mixture models in $\mathbb{R}^n$, without parameterizing the distributions. Following the method of moments, we tackle an…

数值分析 · 数学 2023-08-09 Yifan Zhang , Joe Kileel

Descriptive statistics for parametric models are currently highly sensative to departures, gross errors, and/or random errors. Here, leveraging the structures of parametric distributions and their central moment kernel distributions, a…

统计理论 · 数学 2024-09-11 Li Tuobang

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

We consider estimation of the extreme value index and extreme quantiles for heavy-tailed data that are right-censored. We study a general procedure of removing low importance observations in tail estimators. This trimming procedure is…

统计理论 · 数学 2021-05-13 Martin Bladt , Hansjoerg Albrecher , Jan Beirlant

In this note, we consider the performance of the classic method of moments for parameter estimation of symmetric variance-gamma (generalized Laplace) distributions. We do this through both theoretical analysis (multivariate delta method)…

统计方法学 · 统计学 2023-11-21 Adrian Fischer , Robert E. Gaunt , Andrey Sarantsev

The maximum likelihood estimation is computationally demanding for large datasets, particularly when the likelihood function includes integrals. Subsampling can reduce the computational burden, but it often results in efficiency loss.This…

统计方法学 · 统计学 2026-04-27 Miaomiao Su , Qihua Wang , Ruoyu Wang

Parametric nonlinear mixed effects models (NLMEs) are now widely used in biometrical studies, especially in pharmacokinetics research and HIV dynamics models, due to, among other aspects, the computational advances achieved during the last…

统计方法学 · 统计学 2012-02-03 Ana Arribas-Gil , Karine Bertin , Cristian Meza , Vincent Rivoirard