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The concepts of variability and uncertainty, both epistemic and alleatory, came from experience and coexist with different connotations. Therefore this article attempts to express their relation by analytic means firstly setting sights on…

其他统计学 · 统计学 2013-01-15 Kalman Ziha

In this review, we recall the concepts of Identifiability and Observability of dynamical systems, and analyse them in the framework of Mathematical Epidemiology. We show that, even for simple and well known models of the literature, these…

The instrumental variable method is widely used in the health and social sciences for identification and estimation of causal effects in the presence of potentially unmeasured confounding. In order to improve efficiency, multiple…

统计方法学 · 统计学 2022-04-19 Baoluo Sun , Zhonghua Liu , Eric Tchetgen Tchetgen

We study how the problem of observables is fully resolved for background independent theories defined on finite graphs. We argue the correct analogue of coordinate independence is the invariance under changes of graph labels, a kind of…

广义相对论与量子宇宙学 · 物理学 2025-08-05 Emil Broukal , Andrea Di Biagio , Eugenio Bianchi , Marios Christodoulou

The underlying idea behind the construction of indices of economic inequality is based on measuring deviations of various portions of low incomes from certain references or benchmarks, that could be point measures like population mean or…

统计方法学 · 统计学 2015-08-04 Francesca Greselin , Ricardas Zitikis

We provide an overview of results relating to estimation and weak-instrument-robust inference in instrumental variables regression. Methods are implemented in the ivmodels software package for Python, which we use to illustrate results.

计量经济学 · 经济学 2025-08-19 Malte Londschien

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

统计计算 · 统计学 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Quantiles, expectiles and extremiles can be seen as concepts defined via an optimization problem, where this optimization problem is driven by two important ingredients: the loss function as well as a distributional weight function. This…

统计方法学 · 统计学 2024-05-21 Dieter Debrauwer , Irène Gijbels , Klaus Herrmann

Many mathematical models involve input parameters, which are not precisely known. Global sensitivity analysis aims to identify the parameters whose uncertainty has the largest impact on the variability of a quantity of interest (output of…

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

统计方法学 · 统计学 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

In this study, we investigate estimation and inference on a low-dimensional causal parameter in the presence of high-dimensional controls in an instrumental variable quantile regression. Our proposed econometric procedure builds on the…

计量经济学 · 经济学 2021-02-23 Jau-er Chen , Chien-Hsun Huang , Jia-Jyun Tien

This chapter provides a overview of Bayesian inference, mostly emphasising that it is a universal method for summarising uncertainty and making estimates and predictions using probability statements conditional on observed data and an…

统计方法学 · 统计学 2010-02-11 Christian P. Robert , Jean-Michel Marin , Judith Rousseau

In this paper, we draw attention to a promising yet slightly underestimated measure of variability - the Gini coefficient. We describe two new ways of defining and interpreting this parameter. Using our new representations, we compute the…

统计理论 · 数学 2022-10-13 Marta Milewska , Remco van der Hofstad , Bert Zwart

I thank Thomas Richardson and James Robins for their discussion of my paper, and discuss the similarities and differences between their approach to causal modelling, based on single world intervention graphs, and my own decision-theoretic…

其他统计学 · 统计学 2023-10-03 A. Philip Dawid

The application of the notion of `observable' from gauge theory to diffeomorphism-invariant theories -- most relevantly to general relativity -- has led to numerous conceptual and technical issues when interpreting classical theories with…

物理学史与哲学 · 物理学 2026-05-22 Álvaro Mozota Frauca

Instrumental variables (IVs) are often continuous, arising in diverse fields such as economics, epidemiology, and the social sciences. Existing approaches for continuous IVs typically impose strong parametric models or assume homogeneous…

统计方法学 · 统计学 2025-10-17 Mei Dong , Lin Liu , Dingke Tang , Geoffrey Liu , Wei Xu , Linbo Wang

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

统计方法学 · 统计学 2016-07-14 Hyunseung Kang , T. Tony Cai , Dylan S. Small

World models have emerged as a unifying paradigm for learning latent dynamics, simulating counterfactual futures, and supporting planning under uncertainty. In this paper, we argue that computational epidemiology is a natural and…

机器学习 · 计算机科学 2026-04-14 Zeeshan Memon , Yiqi Su , Christo Kurisummoottil Thomas , Walid Saad , Liang Zhao , Naren Ramakrishnan

Inference for causal effects can benefit from the availability of an instrumental variable (IV) which, by definition, is associated with the given exposure, but not with the outcome of interest other than through a causal exposure effect.…

统计方法学 · 统计学 2012-01-13 Stijn Vansteelandt , Jack Bowden , Manoochehr Babanezhad , Els Goetghebeur

Global monitoring statistics play an important role for developing efficient monitoring schemes for high-dimensional data streams. A number of global monitoring statistics have been proposed in the literature. However, most of them only…

统计方法学 · 统计学 2017-12-19 Jun Li