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A general method is presented for deriving the limiting behavior of estimators that are defined as the values of parameters optimizing an empirical criterion function. The asymptotic behavior of such estimators is typically deduced from…

Statistics Theory · Mathematics 2008-12-18 Peter Radchenko

We consider the asymptotic properties of Approximate Bayesian Computation (ABC) for the realistic case of summary statistics with heterogeneous rates of convergence. We allow some statistics to converge faster than the ABC tolerance, other…

Computation · Statistics 2023-11-17 Caroline Lawless , Christian P. Robert , Judith Rousseau , Robin J. Ryder

Asymptotic equivalence results for nonparametric regression experiments have always assumed that the variances of the observations are known. In practice, however the variance of each observation is generally considered to be an unknown…

Statistics Theory · Mathematics 2007-11-06 Andrew V. Carter

Regularized kernel methods such as, e.g., support vector machines and least-squares support vector regression constitute an important class of standard learning algorithms in machine learning. Theoretical investigations concerning…

Machine Learning · Statistics 2012-03-21 Robert Hable

Universal compression algorithms have been studied in the past for sequential change detection, where they have been used to estimate the post-change distribution in the modified version of the Cumulative Sum (CUSUM) Test. In this paper, we…

Information Theory · Computer Science 2021-12-15 Vikrant Malik , R. K. Bansal

We present a robust adaptive model predictive control (MPC) framework for nonlinear continuous-time systems with bounded parametric uncertainty and additive disturbance. We utilize general control contraction metrics (CCMs) to parameterize…

Systems and Control · Electrical Eng. & Systems 2023-07-12 András Sasfi , Melanie N. Zeilinger , Johannes Köhler

The study of survival data often requires taking proper care of the censoring mechanism that prohibits complete observation of the data. Under right censoring, only the first occurring event is observed: either the event of interest, or a…

Statistics Theory · Mathematics 2025-03-25 Myrthe D'Haen , Ingrid Van Keilegom , Anneleen Verhasselt

Risk behavior can have substantial consequences for health, well-being, and functioning. Previous studies have shown an association between real-world risk behavior and risk behavior on experimental tasks, such as the Columbia Card Task,…

Applications · Statistics 2025-01-08 Nienke F. S. Dijkstra , Henning Tiemeier , Bernd C. Figner , Patrick J. F. Groenen

We address the statistics of a simultaneous CWLM of two non-commuting variables on a few-state quantum system subject to a conditioned evolution. Both conditioned quantum measurement and that of two non-commuting variables differ…

Quantum Physics · Physics 2019-12-11 A. Franquet , Yuli V. Nazarov

We address the statistics of continuous weak linear measurement on a few-state quantum system that is subject to a conditioned quantum evolution. For a conditioned evolution, both the initial and final states of the system are fixed: the…

Quantum Physics · Physics 2017-02-23 A. Franquet , Yuli V. Nazarov

There is a wide literature on change point tests, but the case of variables with infinite variances is essentially unexplored. In this paper we address this problem by studying the asymptotic behavior of trimmed CUSUM statistics. We show…

Statistics Theory · Mathematics 2012-01-06 István Berkes , Lajos Horváth , Johannes Schauer

In this paper, we establish weak consistency and asymptotic normality of an M-estimator of the regression function for left truncated and right censored (LTRC) model, where it is assumed that the observations form a stationary alpha-mixing…

Statistics Theory · Mathematics 2023-05-09 Hassiba Benseradj , Zohra Guessoum

Nonlinear panel data models with fixed individual effects provide an important set of tools for describing microeconometric data. In a large class of such models (including probit, proportional hazard and quantile regression to name just a…

Econometrics · Economics 2020-02-07 Antonio F. Galvao , Jiaying Gu , Stanislav Volgushev

Rerandomization systematically reduces chance imbalance and can improve the efficiency of the average treatment effect estimator in randomized experiments. While the asymptotic properties of finite-dimensional M-estimators under…

Methodology · Statistics 2026-04-28 Xinyuan Chen , Fan Li

To better understand the interplay of censoring and sparsity we develop finite sample properties of nonparametric Cox proportional hazard's model. Due to high impact of sequencing data, carrying genetic information of each individual, we…

Statistics Theory · Mathematics 2019-07-31 Jelena Bradic , Rui Song

The paper obtains analytical results for the asymptotic properties of Model Selection Criteria -- widely used in practice -- for a general family of hidden Markov models (HMMs), thereby substantially extending the related theory beyond…

Statistics Theory · Mathematics 2022-07-04 Shouto Yonekura , Alexandros Beskos , Sumeetpal S. Singh

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

Statistics Theory · Mathematics 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou

Distributional regression aims to find the best candidate in a given parametric family of conditional distributions to model a given dataset. As each candidate in the distribution family can be identified by the corresponding distribution…

Statistics Theory · Mathematics 2026-05-18 Gitte Kremling , Gerhard Dikta

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

Machine Learning · Statistics 2019-02-12 Alexander Hanbo Li , Jelena Bradic

Longitudinal data tracking repeated measurements on individuals are highly valued for research because they offer controls for unmeasured individual heterogeneity that might otherwise bias results. Random effects or mixed models approaches,…

Applications · Statistics 2009-09-29 J. R. Lockwood , Daniel F. McCaffrey