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Mike West is currently the Arts & Sciences Distinguished Professor Emeritus of Statistics and Decision Sciences at Duke University. Mike's research in Bayesian analysis spans multiple interlinked areas: theory and methods of dynamic models…

Other Statistics · Statistics 2026-01-07 Hedibert F. Lopes , Filippo Ascolani

In this paper, we will see that the proportion of d as leading digit, d $\in$ 1, 9, in data (obtained thanks to the hereunder developed model) is more likely to follow a law whose probability distribution is determined by a specific upper…

Probability · Mathematics 2018-06-13 Stéphane Blondeau da Silva

Reasoning about fairness through correlation-based notions is rife with pitfalls. The 1973 University of California, Berkeley graduate school admissions case from Bickel et. al. (1975) is a classic example of one such pitfall, namely…

Methodology · Statistics 2025-09-25 Sourbh Bhadane , Joris M. Mooij , Philip Boeken , Onno Zoeter

We suggest an enhancement to structural coding through the use of (a) causally bound codes, (b) basic constructs of graph theory and (c) statistics. As is the norm with structural coding, the codes are collected into categories. The…

Digital Libraries · Computer Science 2021-07-30 Etienne-Victor Depasquale , Humaira Abdul Salam , Franco Davoli

This biographical account of the life and work of David Kendall includes details of his personal and professional activities. Kendall is probably best known for his work in applied probability, especially queueing theory, and in stochastic…

History and Overview · Mathematics 2008-10-08 Geoffrey Grimmett

This doctoral dissertation presents an in-depth analysis of the first six chapters of Eddington's Fundamental Theory, sometimes referred to as his 'statistical' theory, in the context of discoveries and advancements made since its original…

Quantum Physics · Physics 2007-05-23 I. T. Durham

Statisticians have warned us since the early days of their discipline that experimental correlation between two observations by no means implies the existence of a causal relation. The question about what clues exist in observational data…

Artificial Intelligence · Computer Science 2020-09-25 Pirmin Lemberger , Denis Oblin

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

Methodology · Statistics 2019-02-06 Eli Sherman , Ilya Shpitser

The design of scientific experiments deserves its own variation of formal verification to catch cases where scientists made important mistakes, such as forgetting to take confounding variables into account. One of the most fundamental…

Programming Languages · Computer Science 2026-04-27 Anna Zhang , Qinglan Luo , London Bielicke , Eunice Jun , Adam Chlipala

Statistical science (as opposed to mathematical statistics) involves far more than probability theory, for it requires realistic causal models of data generators - even for purely descriptive goals. Statistical decision theory requires more…

Other Statistics · Statistics 2022-06-02 Sander Greenland

Assuming a directed acyclic graph (DAG) that represents prior knowledge of causal relationships between variables is a common starting point for cause-effect estimation. Existing literature typically invokes hypothetical domain expert…

Machine Learning · Statistics 2025-03-11 Kirtan Padh , Zhufeng Li , Cecilia Casolo , Niki Kilbertus

Causality is a subject of philosophical debate and a central scientific issue with a long history. In the statistical domain, the study of cause and effect based on the notion of `fairness' in comparisons dates back several hundred years,…

Other Statistics · Statistics 2022-04-06 Erica EM Moodie , David A Stephens

In this paper, we will see that the proportion of d as p th digit, where p > 1 and d $\in$ 0, 9, in data (obtained thanks to the hereunder developed model) is more likely to follow a law whose probability distribution is determined by a…

Other Statistics · Statistics 2018-05-04 Stéphane Blondeau da Silva

We are not only observers but also actors of reality. Our capability to intervene and alter the course of some events in the space and time surrounding us is an essential component of how we build our model of the world. In this doctoral…

Artificial Intelligence · Computer Science 2023-09-19 Gilles Blondel

This paper discusses different needs and approaches to establishing ``causation'' that are relevant in legal cases involving statistical input based on epidemiological (or more generally observational or population-based) information. We…

Methodology · Statistics 2009-09-29 K. Mengersen , S. A. Moynihan , R. L. Tweedie

In 1967, Frederick Lord posed a conundrum that has confused scientists for over half a century. Subsequently named Lord's 'paradox', the puzzle centres on the observation that two different approaches to estimating the effect of an exposure…

Applied analysts often use the differences-in-differences (DID) method to estimate the causal effect of policy interventions with observational data. The method is widely used, as the required before and after comparison of a treated and…

Applications · Statistics 2019-02-04 Luke J. Keele , Dylan S. Small , Jesse Y. Hsu , Colin B. Fogarty

Causality has become a fundamental approach for explaining the relationships between events, phenomena, and outcomes in various fields of study. It has invaded various fields and applications, such as medicine, healthcare, economics,…

Artificial Intelligence · Computer Science 2024-03-19 Abraham Itzhak Weinberg , Cristiano Premebida , Diego Resende Faria

Big longitudinal observational medical data potentially hold a wealth of information and have been recognised as potential sources for gaining new drug safety knowledge. Unfortunately there are many complexities and underlying issues when…

Artificial Intelligence · Computer Science 2016-07-22 Jenna Marie Reps , Jonathan M. Garibaldi , Uwe Aickelin , Jack E. Gibson , Richard B. Hubbard

Analyzing causality in multivariate systems involves establishing how information is generated, distributed and combined. Traditional causal discovery frameworks are capable of multivariate reasoning but their intrinsic pairwise graph…

Information Theory · Computer Science 2026-04-14 Sung En Chiang , Zhaolu Liu , Robert L. Peach , Mauricio Barahona