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The object of this paper is to study the asymptotic dependence structure of the linear time series models with infinitely divisible innovations by the use of their characteristic functions. Autoregressive moving-average (ARMA) models and…

Statistics Theory · Mathematics 2019-05-23 Muneya Matsui

This paper considers a semiparametric approach within the general Bayesian linear model where the innovations consist of a stationary, mean zero Gaussian time series. While a parametric prior is specified for the linear model coefficients,…

Statistics Theory · Mathematics 2024-09-25 Claudia Kirch , Alexander Meier , Renate Meyer , Yifu Tang

This paper presents a novel sequential estimator for the direction-of-arrival and polynomial coefficients of wideband polynomial-phase signals impinging on a sensor array. Addressing the computational challenges of Maximum-likelihood…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Kaleb Debre , Tai Fei , Marius Pesavento

We construct and analyze an estimator of association between random variables based on their similarity in both direction and magnitude. Under special conditions, the proposed measure becomes a robust and consistent estimator of the linear…

Econometrics · Economics 2026-01-21 Ilya Archakov

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

In this paper, a new three-parameter lifetime distribution is introduced and many of its standard properties are discussed. These include shape of the probability density function, hazard rate function and its shape, quantile function,…

Methodology · Statistics 2013-08-21 Min Wang

We study the maximum likelihood model in emission tomography and propose a new family of algorithms for its solution, called String-Averaging Expectation-Maximization (SAEM). In the String-Averaging algorithmic regime, the index set of all…

Medical Physics · Physics 2019-04-03 E. S. Helou , Y. Censor , T. -B. Chen , I-L. Chern , Á. R. De Pierro , M. Jiang , H. H. -S. Lu

We develop a new efficient algorithm for the analysis of large-scale time series data. We firstly define rolling averages, derive their analytical properties, and establish their asymptotic distribution. These theoretical results are…

Methodology · Statistics 2022-12-26 Ali Eshragh , Glen Livingston , Thomas McCarthy McCann , Luke Yerbury

Shrinkage algorithms are of great importance in almost every area of statistics due to the increasing impact of big data. Especially time series analysis benefits from efficient and rapid estimation techniques such as the lasso. However,…

Methodology · Statistics 2016-06-01 Florian Ziel

Stable distributions provide a flexible framework for modeling heavy-tailed and skewed data, with the stability index $\alpha$ quantifying tail heaviness. We propose a new semiparametric estimator for $\alpha$ that leverages the two-sum…

Methodology · Statistics 2025-08-19 Cornelis J. Potgieter , Jacques van Appel , Sudharshan Samaratunga

Large Language Models (LLMs) and Foundation Models (FMs) have recently become prevalent for time series forecasting tasks. While fine-tuning LLMs enables domain adaptation, they often struggle to generalize across diverse and unseen…

In this work we provide a simple estimation procedure for a general frailty model for analysis of prospective correlated failure times. Rigorous large-sample theory for the proposed estimators of both the regression coefficient vector and…

Statistics Theory · Mathematics 2007-06-13 Malka Gorfine , David M. Zucker , Li Hsu

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

Methodology · Statistics 2023-09-19 Archer Gong Zhang , Jiahua Chen

We study the adaptation properties of the multivariate log-concave maximum likelihood estimator over three subclasses of log-concave densities. The first consists of densities with polyhedral support whose logarithms are piecewise affine.…

Statistics Theory · Mathematics 2019-10-21 Oliver Y. Feng , Adityanand Guntuboyina , Arlene K. H. Kim , Richard J. Samworth

The Growth-at-Risk (GaR) framework has garnered attention in recent econometric literature, yet current approaches implicitly assume a constant Pareto exponent. We introduce novel and robust econometrics to estimate the tails of GaR based…

Econometrics · Economics 2026-03-16 Tobias Adrian , Yuya Sasaki , Yulong Wang

This paper investigates the asymptotic theory of the quasi-maximum exponential likelihood estimators (QMELE) for ARMA--GARCH models. Under only a fractional moment condition, the strong consistency and the asymptotic normality of the global…

Statistics Theory · Mathematics 2012-01-31 Ke Zhu , Shiqing Ling

A general class of time-varying regression models is considered in this paper. We estimate the regression coefficients by using local linear M-estimation. For these estimators, weak Bahadur representations are obtained and are used to…

Statistics Theory · Mathematics 2021-03-09 Sayar Karmakar , Stefan Richter , Wei Biao Wu

We study the large sample properties of sparse M-estimators in the presence of pseudo-observations. Our framework covers a broad class of semi-parametric copula models, for which the marginal distributions are unknown and replaced by their…

Statistics Theory · Mathematics 2023-06-01 Jean-David Fermanian , Benjamin Poignard

We express the classic ARMA time-series model as a directed graphical model. In doing so, we find that the deterministic relationships in the model make it effectively impossible to use the EM algorithm for learning model parameters. To…

Applications · Statistics 2012-08-10 Bo Thiesson , David Maxwell Chickering , David Heckerman , Christopher Meek

The cumulative incidence is the probability of failure from the cause of interest over a certain time period in the presence of other risks. A semiparametric regression model proposed by Fine and Gray (1999) has become the method of choice…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin
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