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This paper examines the problem of estimating the parameters of a bandlimited signal from samples corrupted by random jitter (timing noise) and additive iid Gaussian noise, where the signal lies in the span of a finite basis. For the…

Applications · Statistics 2015-03-24 Daniel S. Weller , Vivek K Goyal

Doubly robust estimators have gained widespread popularity in various fields due to their ability to provide unbiased estimates under model misspecification. However, the asymptotic theory for doubly robust estimators with continuous-time…

Statistics Theory · Mathematics 2024-04-23 Andrew Ying

The drift sequential parameter estimation problems for the Cox-Ingersoll-Ross (CIR) processes under the limited duration of observation are studied. Truncated sequential estimation methods for both scalar and {two}-dimensional parameter…

Statistics Theory · Mathematics 2025-04-08 Mohamed Ben Alaya , Thi-Bao Trâm Ngô , Serguei Pergamenchtchikov

The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

Methodology · Statistics 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao

We present a simulation-based inference approach for two-stage estimators, focusing on extremum estimators in the second stage. We accommodate a broad range of first-stage estimators, including extremum estimators, high-dimensional…

Econometrics · Economics 2024-11-08 Aristide Houndetoungan , Abdoul Haki Maoude

This paper describes several new algorithms for estimating the parameters of a periodic bandlimited signal from samples corrupted by jitter (timing noise) and additive noise. Both classical (non-random) and Bayesian formulations are…

Applications · Statistics 2016-09-08 Daniel S. Weller , Vivek K Goyal

Dynamic models describe phenomena across scientific disciplines, yet to make these models useful in application the unknown parameter values of the models must be determined. Discrete-time dynamic models are widely used to model biological…

Quantitative Methods · Quantitative Biology 2024-10-08 Yosef Berman , Joshua Forrest , Matthew Grote , Alexey Ovchinnikov , Sonia Rueda

Bagging is a useful method for large-scale statistical analysis, especially when the computing resources are very limited. We study here the asymptotic properties of bagging estimators for $M$-estimation problems but with massive datasets.…

Statistics Theory · Mathematics 2023-04-14 Yuan Gao , Riquan Zhang , Hansheng Wang

In machine learning and data mining, linear models have been widely used to model the response as parametric linear functions of the predictors. To relax such stringent assumptions made by parametric linear models, additive models consider…

Machine Learning · Statistics 2017-10-18 Sheng Chen , Arindam Banerjee

This study proposes a robust estimator for stochastic frontier models by integrating the idea of Basu et al. [1998, Biometrika 85, 549-559] into such models. We verify that the suggested estimator is strongly consistent and asymptotic…

Methodology · Statistics 2015-07-29 Junmo Song , Dong-hyun Oh , Jiwon Kang

We study the existence, strong consistency and asymptotic normality of estimators obtained from estimating functions, that are p-dimensional martingale transforms. The problem is motivated by the analysis of evolutionary clustered data,…

Statistics Theory · Mathematics 2020-12-01 Laura Dumitrescu , Ioana Schiopu-Kratina

In this paper, an alternative approximation to the innovation method is introduced for the parameter estimation of diffusion processes from partial and noisy observations. This is based on a convergent approximation to the first two…

Optimization and Control · Mathematics 2013-12-19 J. C. Jimenez

We define two minimum distance estimators for dependent data by minimizing some approximated Maximum Mean Discrepancy distances between the true empirical distribution of observations and their assumed (parametric) model distribution. When…

Methodology · Statistics 2026-01-19 Pierre Alquier , Jean-David Fermanian , Benjamin Poignard

We propose a method for estimating the asymptotic phase and amplitude functions of limit-cycle oscillators using observed time series data without prior knowledge of their dynamical equations. The estimation is performed by polynomial…

Adaptation and Self-Organizing Systems · Physics 2023-01-19 Norihisa Namura , Shohei Takata , Katsunori Yamaguchi , Ryota Kobayashi , Hiroya Nakao

A significant hurdle for analyzing large sample data is the lack of effective statistical computing and inference methods. An emerging powerful approach for analyzing large sample data is subsampling, by which one takes a random subsample…

Methodology · Statistics 2015-11-24 Rong Zhu , Ping Ma , Michael W. Mahoney , Bin Yu

Multi-index models provide a popular framework to investigate the learnability of functions with low-dimensional structure and, also due to their connections with neural networks, they have been object of recent intensive study. In this…

Machine Learning · Statistics 2025-06-11 Filip Kovačević , Yihan Zhang , Marco Mondelli

We consider estimation and inference in a linear model with endogenous regressors where the parameters of interest change across two samples. If the first-stage is common, we show how to use this information to obtain more efficient…

Econometrics · Economics 2024-06-26 Bertille Antoine , Otilia Boldea , Niccolo Zaccaria

We present an algorithm to obtain the maximum likelihood estimates of the correlation parameters of elliptical copulas. Previously existing methods for this task were either fast but only approximate or exact but very time-consuming,…

Applications · Statistics 2014-12-22 Lorenzo Hernández , Jorge Tejero , Jaime Vinuesa

Robotic affordance estimation is challenging due to visual, geometric, and semantic ambiguities in sensory input. We propose a method that disambiguates these signals using two coupled recursive estimators for sub-aspects of affordances:…

Robotics · Computer Science 2026-03-17 Patrick Lowin , Vito Mengers , Oliver Brock

The article considers parameter estimation constructing such as quasi-maximum likelyhood estimation and one step estimation in statistical models generated by solution of stochastic differential equation. It has been developed a software…

Statistics Theory · Mathematics 2021-03-12 Dmytro Ivanenko , Rostyslav Pogorielov