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This paper has been withdrawn by the author. In this paper I present some reasons to adopt an holistic point of wiev, eliminating a boundary subject/object in the measurement. I review shortly Everett's and Cramer's positions, casting light…

量子物理 · 物理学 2012-10-26 Davide Bondoni

Four new probability models are derived which generalize the common univariate continuous distributions. Classical distributional measures are derived from Hoel, et al., Introduction to Probability Theory, 1971. Measures include probability…

综合数学 · 数学 2014-05-09 Francis J. O'Brien

Macroeconomists increasingly use external sources of exogenous variation for causal inference. However, unless such external instruments (proxies) capture the underlying shock without measurement error, existing methods are silent on the…

计量经济学 · 经济学 2024-11-19 Mikkel Plagborg-Møller , Christian K. Wolf

An improved volume-weighted probability measure for eternal inflation is proposed. For the models studied in this paper it leads to simple and intuitively expected gauge-invariant results.

高能物理 - 理论 · 物理学 2009-11-13 Andrei Linde

We introduce an epistemic information measure between two data streams, that we term $influence$. Closely related to transfer entropy, the measure must be estimated by epistemic agents with finite memory resources via sampling accessible…

We argue that the words "objectivity" and "subjectivity" in statistics discourse are used in a mostly unhelpful way, and we propose to replace each of them with broader collections of attributes, with objectivity replaced by transparency,…

其他统计学 · 统计学 2015-08-25 Andrew Gelman , Christian Hennig

The estimation of variance-based importance measures (called Sobol' indices) of the input variables of a numerical model can require a large number of model evaluations. It turns to be unacceptable for high-dimensional model involving a…

统计理论 · 数学 2013-05-28 Matieyendou Lamboni , Bertrand Iooss , Anne-Laure Popelin , Fabrice Gamboa

Recently Lewis Bowen introduced a notion of entropy for measure-preserving actions of countable sofic groups admitting a generating measurable partition with finite entropy; and then David Kerr and Hanfeng Li developed an operator-algebraic…

动力系统 · 数学 2011-09-16 Guo Hua Zhang

Instrumental Variable (IV) provides a source of treatment randomization that is conditionally independent of the outcomes, responding to the challenges of counterfactual and confounding biases. In finance, IV construction typically relies…

综合经济学 · 经济学 2024-11-27 Ying Chen , Ziwei Xu , Kotaro Inoue , Ryutaro Ichise

Learning a causal effect from observational data is not straightforward, as this is not possible without further assumptions. If hidden common causes between treatment $X$ and outcome $Y$ cannot be blocked by other measurements, one…

机器学习 · 统计学 2015-11-10 Ricardo Silva , Shohei Shimizu

Spatial big data have the "velocity," "volume," and "variety" of big data sources and additional geographic information about the record. Digital data sources, such as medical claims, mobile phone call data records, and geo-tagged tweets,…

种群与进化 · 定量生物学 2016-08-30 Elizabeth C. Lee , Jason M. Asher , Sandra Goldlust , John D. Kraemer , Andrew B. Lawson , Shweta Bansal

Brad Efron's paper [arXiv:0808.0572] has inspired a return to the ideas behind Bayes, frequency and empirical Bayes. The latter preferably would not be limited to exchangeable models for the data and hyperparameters. Parallels are revealed…

统计方法学 · 统计学 2008-08-06 Carl N. Morris

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

机器学习 · 统计学 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

For a random variable we can define a variational relationship with practical physical meaning as dI=dbar(x)-bar(dx), where I is called as uncertainty measurement. With the help of a generalized definition of expectation,…

统计力学 · 物理学 2008-10-27 Congjie Ou , Aziz El Kaabouchi , Alain Le Mehaute , Qiuping A. Wang , Jincan Chen

Comment on ``Gibbs Sampling, Exponential Families and Orthogonal Polynomials'' [arXiv:0808.3852]

统计方法学 · 统计学 2008-08-29 Patrizia Berti , Guido Consonni , Luca Pratelli , Pietro Rigo

A case is made that researchers are interested in studying processes. Often the inferences they are interested in making are about the process and its associated population. On other occasions, a researcher may be interested in making an…

其他统计学 · 统计学 2022-06-20 Charles W. Champ , Andrew V. Sills

The problem we consider considers estimating a multivariate longitudinal panel data model whose outcomes can be a combination of discrete and continuous variables. This problem is challenging because the likelihood is usually analytically…

统计方法学 · 统计学 2017-09-26 David Gunawan , Chris carter , Denzil Fiebig , Robert Kohn

We study categorical instrumental variable (IV) models with instrument, treatment, and outcome taking finitely many values. We derive a simple closed-form characterization of the set of joint distributions of potential outcomes that are…

统计理论 · 数学 2025-11-13 Yilin Song , F. Richard Guo , K. C. Gary Chan , Thomas S. Richardson

We present a comprehensive R software ivmodel for analyzing instrumental variables with one endogenous variable. The package implements a general class of estimators called k- class estimators and two confidence intervals that are fully…

应用统计 · 统计学 2020-07-09 Hyunseung Kang , Yang Jiang , Qingyuan Zhao , Dylan S. Small

One obstacle to ``elevating" correlation to causation is the phenomenon of confounding, i.e., when a correlation between two variables exists because both variables are in fact caused by a third variable. The situation where the confounders…

应用统计 · 统计学 2025-06-24 Caren Marzban , Yikun Zhang , Nicholas Bond , Michael Richman