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Digital monitoring studies collect real-time high frequency data via mobile sensors in the subjects' natural environment. This data can be used to model the impact of changes in physiology on recurrent event outcomes such as smoking, drug…

Methodology · Statistics 2022-04-15 Walter Dempsey

Age structure is incorporated in many types of epidemic model. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of…

Populations and Evolution · Quantitative Biology 2013-03-19 Christopher A. Rhodes , Thomas House

A flexible approach for modeling both dynamic event counting and dynamic link-based networks based on counting processes is proposed, and estimation in these models is studied. We consider nonparametric likelihood based estimation of…

Statistics Theory · Mathematics 2021-03-30 Alexander Kreiß , Enno Mammen , Wolfgang Polonik

We study dynamic risk measures in a very general framework enabling to model uncertainty and processes with jumps. We previously showed the existence of a canonical equivalence class of probability measures hidden behind a given set of…

Probability · Mathematics 2010-12-30 Jocelyne Bion-Nadal , Magali Kervarec

We consider inference on a scalar regression coefficient under a constraint on the magnitude of the control coefficients. A class of estimators based on a regularized propensity score regression is shown to exactly solve a tradeoff between…

Econometrics · Economics 2023-08-11 Timothy B. Armstrong , Michal Kolesár , Soonwoo Kwon

This paper concerns the estimation of sums of functions of observable and unobservable variables. Lower bounds for the asymptotic variance and a convolution theorem are derived in general finite- and infinite-dimensional models. An explicit…

Statistics Theory · Mathematics 2007-06-13 Cun-Hui Zhang

The results in this paper provide new information on asymptotic properties of classical models: the neutral Kingman coalescent under a general finite-alleles, parent-dependent mutation mechanism, and its generalisation, the ancestral…

Probability · Mathematics 2022-07-08 Martina Favero , Henrik Hult

It is known that recursive training from generative models can lead to the so called `collapse' of the simulated probability distribution. This note shows that one in fact gets two different asymptotic behaviours depending on whether an…

Probability · Mathematics 2025-09-30 Vivek Shripad Borkar

One of the well-known results in concurrency theory concerns the relationship between event structures and occurrence nets: an occurrence net can be associated with a prime event structure, and vice versa. More generally, the relationships…

Logic in Computer Science · Computer Science 2019-10-25 Hernán Melgratti , Claudio Antares Mezzina , Iain Phillips , G. Michele Pinna , Irek Ulidowski

Recently, Tibshirani et al. (2016) proposed a method for making inferences about parameters defined by model selection, in a typical regression setting with normally distributed errors. Here, we study the large sample properties of this…

Statistics Theory · Mathematics 2017-08-10 Ryan J. Tibshirani , Alessandro Rinaldo , Robert Tibshirani , Larry Wasserman

This paper addresses the problem of identifying and estimating the causal effect of a treatment in the presence of unmeasured confounding and various types of right-censoring. Examples of these censoring mechanisms are administrative…

Statistics Theory · Mathematics 2025-03-19 Ilias Willems , Sara Rutten , Gilles Crommen , Ingrid Van Keilegom

The existence of the {\em typical set} is key for data compression strategies and for the emergence of robust statistical observables in macroscopic physical systems. Standard approaches derive its existence from a restricted set of…

Statistical Mechanics · Physics 2022-02-10 Rudolf Hanel , Bernat Corominas-Murtra

We consider a general class of empirical-type likelihoods and develop higher order asymptotics with a view to characterizing members thereof that allow the existence of possibly data-dependent probability matching priors ensuring…

Statistics Theory · Mathematics 2008-12-18 Rahul Mukerjee

We provide various norm-based definitions of different types of cross-sectional dependence and the relations between them. These definitions facilitate to comprehend and to characterize the various forms of cross-sectional dependence, such…

Methodology · Statistics 2018-04-24 Gopal K Basak , Samarjit Das

We propose a general model that jointly characterizes degree heterogeneity and homophily in weighted, undirected networks. We present a moment estimation method using node degrees and homophily statistics. We establish consistency and…

Statistics Theory · Mathematics 2022-07-21 Qiuping Wang , Yuan Zhang , Ting Yan

Models and simulations of collective behaviours are often based on considering them as assumed by interactive particle systems. The focus is then on behavioural and interaction rules by using approaches based on artificial agents designed…

Adaptation and Self-Organizing Systems · Physics 2009-03-04 Gianfranco Minati

This paper studies theory and inference related to a class of time series models that incorporates nonlinear dynamics. It is assumed that the observations follow a one-parameter exponential family of distributions given an accompanying…

Statistics Theory · Mathematics 2012-04-19 Richard A. Davis , Heng Liu

In spite of precautions to avoid the harmful effects of extreme events, we experience recurrently phenomena that overcome the preventive barriers. These barriers usually increase drastically right after the occurrence of such extreme…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Eduardo G. Altmann , Sarah Hallerberg , Holger Kantz

We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor, but in its vicinity as well. For this we consider systems perturbed by an external force. This allows us to not merely…

Adaptation and Self-Organizing Systems · Physics 2019-07-02 Rok Cestnik , Markus Abel

We consider the problems of parameter estimation for several models of threshold ergodic diffusion processes in the asymptotics of large samples. These models are the direct continuous time analogues of the well-known in time series…

Statistics Theory · Mathematics 2010-03-19 Yury A. Kutoyants