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We consider the problem of the construction of the asymptotically distribution free test by the observations of ergodic diffusion process. It is supposedd that under the basic hypothesis the trend coefficient depends on the finite…

Statistics Theory · Mathematics 2013-05-16 M. Kleptsyna , Yu. A. Kutoyants

In this paper, we are interested in linear prediction of a particular kind of stochastic process, namely a marked temporal point process. The observations are event times recorded on the real line, with marks attached to each event. We show…

Methodology · Statistics 2022-07-18 Maximilian Aigner , Valérie Chavez-Demoulin

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

Methodology · Statistics 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

A stepped wedge design is a unidirectional crossover design where clusters are randomized to distinct treatment sequences. While model-based analysis of stepped wedge designs is standard practice to evaluate treatment effects accounting for…

Methodology · Statistics 2024-09-13 Bingkai Wang , Xueqi Wang , Fan Li

Given functional data from a survival process with time-dependent covariates, we derive a smooth convex representation for its nonparametric log-likelihood functional and obtain its functional gradient. From this, we devise a generic…

Machine Learning · Statistics 2021-10-07 Donald K. K. Lee , Ningyuan Chen , Hemant Ishwaran

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

Numerical Analysis · Mathematics 2015-05-13 A. V. Shutov , R. Kreissig

This paper focuses on recursive estimation of time varying autoregressive processes in a nonparametric setting. The stability of the model is revisited and uniform results are provided when the time-varying autoregressive parameters belong…

Statistics Theory · Mathematics 2007-06-13 Eric Moulines , Pierre Priouret , François Roueff

In this paper, we focus on the parametric inference based on the Tampered Random Variable (TRV) model for simple step-stress life testing (SSLT) using Type-II censored data. The baseline lifetime of the experimental units, under normal…

Methodology · Statistics 2023-02-20 Subhankar Dutta , Farha Sultana , Suchandan Kayal

In this work, we propose a hyperparameter optimization method named \emph{HyperTime} to find hyperparameters robust to potential temporal distribution shifts in the unseen test data. Our work is motivated by an important observation that it…

Machine Learning · Computer Science 2023-05-31 Shaokun Zhang , Yiran Wu , Zhonghua Zheng , Qingyun Wu , Chi Wang

We analyze the statistical performance of identification of stochastic dynamical systems with non-linear measurement sensors. This includes stochastic Wiener systems, with linear dynamics, process noise and measured by a non-linear sensor…

Optimization and Control · Mathematics 2018-05-24 Bo Wahlberg , Lennart Ljung

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator over a channel that is modeled as a queue. The estimator reconstructs an estimate of the real-time signal value from causally…

Information Theory · Computer Science 2019-08-20 Yin Sun , Yury Polyanskiy , Elif Uysal

We propose an iterative variable selection method for the accelerated failure time model using high-dimensional survival data. Our method pioneers the use of the recently proposed structured screen-and-select framework for survival…

Methodology · Statistics 2025-03-04 Nilotpal Sanyal

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 is focused on the statistical analysis of data consisting of a collection of multiple series of probability measures that are indexed by distinct time instants and supported over a bounded interval of the real line. By modeling…

Machine Learning · Statistics 2026-05-05 Yiye Jiang , Jérémie Bigot

Unbiased assessment of the predictivity of models learnt by supervised machine-learning methods requires knowledge of the learned function over a reserved test set (not used by the learning algorithm). The quality of the assessment depends,…

Statistics Theory · Mathematics 2022-07-11 Elias Fekhari , Bertrand Iooss , Joseph Muré , Luc Pronzato , Maria-João Rendas

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator via a channel that consists of a queue with random delay. The estimator reconstructs a real-time estimate of the signal from…

Information Theory · Computer Science 2017-05-26 Yin Sun , Yury Polyanskiy , Elif Uysal-Biyikoglu

Knowing the error distribution is important in many multivariate time series applications. To alleviate the risk of error distribution mis-specification, testing methodologies are needed to detect whether the chosen error distribution is…

Econometrics · Economics 2020-08-04 Donghang Luo , Ke Zhu , Huan Gong , Dong Li

To better understand effects of exposure to food allergens, food challenge studies are designed to slowly increase the dose of an allergen delivered to allergic individuals until an objective reaction occurs. These dose-to-failure studies…

Applications · Statistics 2019-08-30 Matthew W. Wheeler , Joost Westerhout , Joe L. Baumert , Benjamin C. Remington

We develop an approach for estimating models described via conditional moment restrictions, with a prototypical application being non-parametric instrumental variable regression. We introduce a min-max criterion function, under which the…

Econometrics · Economics 2020-06-15 Nishanth Dikkala , Greg Lewis , Lester Mackey , Vasilis Syrgkanis

We present the first minimax risk bounds for estimators of the spectral measure in multivariate linear factor models, where observations are linear combinations of regularly varying latent factors. Non-asymptotic convergence rates are…

Statistics Theory · Mathematics 2024-11-12 Xuhui Zhang , Jose Blanchet , Youssef Marzouk , Viet Anh Nguyen , Sven Wang