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The likelihood functions for discretely observed nonlinear continuous-time models based on stochastic differential equations are not available except for a few cases. Various parameter estimation techniques have been proposed, each with…

Methodology · Statistics 2025-04-17 Predrag Pilipovic , Adeline Samson , Susanne Ditlevsen

The commonly used two-way fixed effects estimator is biased under correlated heterogeneity and can lead to misleading inference. The mean group estimator proposed by Pesaran and Smith (1995) is robust to correlated heterogeneity but…

Econometrics · Economics 2026-04-01 M. Hashem Pesaran , Liying Yang

This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution…

Methodology · Statistics 2024-05-21 Alok Kumar Pandey , Alam Ali , Ashok Kumar Pathak

Explicit functional forms for the generator derivatives of well-known one-parameter Archimedean copulas are derived. These derivatives are essential for likelihood inference as they appear in the copula density, conditional distribution…

Statistics Theory · Mathematics 2013-09-19 Marius Hofert , Martin Mächler , Alexander J. McNeil

When facing multivariate covariates, general semiparametric regression techniques come at hand to propose flexible models that are unexposed to the curse of dimensionality. In this work a semiparametric copula-based estimator for…

Methodology · Statistics 2016-03-25 Mickael De Backer , Anouar El Ghouch , Ingrid Van Keilegom

In the setting of entangled single-sample distributions, the goal is to estimate some common parameter shared by a family of distributions, given one \emph{single} sample from each distribution. We study mean estimation and linear…

Machine Learning · Computer Science 2020-07-08 Hui Yuan , Yingyu Liang

This paper presents in detail the originally developed Quadratic Point Estimate Method (QPEM), aimed at efficiently and accurately computing the first four output moments of probabilistic distributions, using 2n^2+1 sample (or sigma)…

Numerical Analysis · Mathematics 2024-03-21 Minhyeok Ko , Konstantinos G. Papakonstantinou

In this paper, we introduce a class of improved estimators for the mean parameter matrix of a multivariate normal distribution with an unknown variance-covariance matrix. In particular, the main results of [D.Ch\'etelat and M. T.…

Statistics Theory · Mathematics 2024-06-25 Arash A. Foroushani , Severien Nkurunziza

In this paper, we consider the estimation of the unknown parameters of the multiple chirp signal model in presence of additive error. The chirp signals are quite common in many areas of science and engineering, specially sonar, radar, audio…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Swagata Nandi , Debasis Kundu

In this paper, a shrinkage estimator for the population mean is proposed under known quadratic loss functions with unknown covariance matrices. The new estimator is non-parametric in the sense that it does not assume a specific parametric…

Methodology · Statistics 2014-11-07 Cheng Wang , Tiejun Tong , Longbing Cao , Baiqi Miao

This paper proposes an algorithm to generate random numbers from any member of the truncated multivariate elliptical family of distributions with a strictly decreasing density generating function. Based on Neal (2003) and Ho et al. (2012),…

Computation · Statistics 2021-12-20 Katherine A. L. Valeriano , Christian E. Galarza , Larissa A. Matos

Moment restrictions and their conditional counterparts emerge in many areas of machine learning and statistics ranging from causal inference to reinforcement learning. Estimators for these tasks, generally called methods of moments, include…

Machine Learning · Computer Science 2023-06-14 Heiner Kremer , Yassine Nemmour , Bernhard Schölkopf , Jia-Jie Zhu

Heavy-tailed errors impair the accuracy of the least squares estimate, which can be spoiled by a single grossly outlying observation. As argued in the seminal work of Peter Huber in 1973 [{\it Ann. Statist.} {\bf 1} (1973) 799--821], robust…

Statistics Theory · Mathematics 2017-11-16 Wen-Xin Zhou , Koushiki Bose , Jianqing Fan , Han Liu

Recently discovered identities in statistical mechanics have enabled the calculation of equilibrium ensemble averages from realizations of driven nonequilibrium processes, including single-molecule pulling experiments and analogous computer…

Statistical Mechanics · Physics 2011-11-21 David D. L. Minh , John D. Chodera

Spectral singularities at non-zero frequencies play an important role in investigating cyclic or seasonal time series. The publication [2] introduced the generalized filtered method-of-moments approach to simultaneously estimate singularity…

Statistics Theory · Mathematics 2020-11-13 Antoine Ayache , Myriam Fradon , Ravindi Nanayakkara , Andriy Olenko

In system identification, estimating parameters of a model using limited observations results in poor identifiability. To cope with this issue, we propose a new method to simultaneously select and estimate sensitive parameters as key model…

This paper derives the nonparametric maximum likelihood estimator (NPMLE) of a distribution function from observations which are subject to both bias and censoring. The NPMLE is obtained by a simple EM algorithm which is an extension of the…

Statistics Theory · Mathematics 2007-08-22 Micha Mandel

Meta-analyses are commonly used to provide solid evidence across numerous studies. Traditional moment methods, such as the DerSimonian-Laird method, remain popular in spite of the availability of more accurate alternatives. While moment…

Methodology · Statistics 2024-12-06 Keisuke Hanada , Tomoyuki Sugimoto

Truncated conditional expectation functions are objects of interest in a wide range of economic applications, including income inequality measurement, financial risk management, and impact evaluation. They typically involve truncating the…

Econometrics · Economics 2021-09-14 Tomasz Olma

Given a dataset an outlier can be defined as an observation that it is unlikely to follow the statistical properties of the majority of the data. Computation of the location estimate of is fundamental in data analysis, and it is well known…

Statistics Theory · Mathematics 2015-11-16 G. Zioutas , C. Chatzinakos , T. D. Nguyen , L. Pitsoulis
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