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Statistical samples, in order to be representative, have to be drawn from a population in a random and unbiased way. Nevertheless, it is common practice in the field of model-based diagnosis to make estimations from (biased) best-first…

Artificial Intelligence · Computer Science 2022-08-05 Patrick Rodler , Fatima Elichanova

The idea that the brain is a probabilistic (Bayesian) inference machine, continuously trying to figure out the hidden causes of its inputs, has become very influential in cognitive (neuro)science over recent decades. Here I present a…

Neurons and Cognition · Quantitative Biology 2024-02-15 Eelke Spaak

Can stated preferences help in counterfactual analyses of actual choice? This research proposes a novel approach to researchers who have access to both stated choices in hypothetical scenarios and actual choices. The key idea is to use…

Econometrics · Economics 2023-07-27 Romuald Meango

In this article we provide a rebuttal against the possible perception that a single number, such as the Likelihood Ratio, can provide an objective, authoritative or definitive weight of evidence. We also illustrate the extent to which…

Applications · Statistics 2016-09-21 Steven P. Lund , Hari Iyer

In this paper, a likelihood based evidence acquisition approach is proposed to acquire evidence from experts'assessments as recorded in historical datasets. Then a data-driven evidential reasoning rule based model is introduced to R&D…

Digital Libraries · Computer Science 2018-11-21 Fang Liu , Yu-wang Chen , Jian-bo Yang , Dong-ling Xu , Wei-shu Liu

Statistical inference as a formal scientific method to covert experience to knowledge has proven to be elusively difficult. While frequentist and Bayesian methodologies have been accepted in the contemporary era as two dominant schools of…

Statistics Theory · Mathematics 2023-01-16 Chuanhai Liu , Ryan Martin

At the heart of causal structure learning from observational data lies a deceivingly simple question: given two statistically dependent random variables, which one has a causal effect on the other? This is impossible to answer using…

Machine Learning · Computer Science 2020-10-13 Nikolaos Nikolaou , Konstantinos Sechidis

This article reviews and develops an epistemological tradition in the philosophy of science, known as convergentism, which holds that inference methods should be assessed based on their ability to converge to the truth across a range of…

Other Statistics · Statistics 2025-07-01 Hanti Lin

This study has the purpose of addressing four questions that lie at the base of the probability theory and statistics, and includes two main steps. As first, we conduct the textual analysis of the most significant works written by eminent…

History and Overview · Mathematics 2019-01-15 Paolo Rocchi

Some scientific publications are under suspicion of fabrication of data. Since humans are bad random number generators, there might be some evidential value in favor of fabrication in the statistical results as presented in such papers. In…

Methodology · Statistics 2015-03-20 Chris A. J. Klaassen

In the rapidly growing literature on explanation algorithms, it often remains unclear what precisely these algorithms are for and how they should be used. In this position paper, we argue for a novel and pragmatic perspective: Explainable…

Machine Learning · Computer Science 2025-06-17 Sebastian Bordt , Eric Raidl , Ulrike von Luxburg

Introductory statistical inference texts and courses treat the point estimation, hypothesis testing, and interval estimation problems separately, with primary emphasis on large-sample approximations. Here I present an alternative approach…

Other Statistics · Statistics 2017-07-14 Ryan Martin

An assurance case is intended to provide justifiable confidence in the truth of its top claim, which typically concerns safety or security. A natural question is then "how much" confidence does the case provide? We argue that confidence…

Artificial Intelligence · Computer Science 2024-05-06 Robin Bloomfield , John Rushby

Recent work in cognitive science has uncovered a diversity of explanatory values, or dimensions along which we judge explanations as better or worse. We propose a Bayesian account of how these values fit together to guide explanation. The…

Neurons and Cognition · Quantitative Biology 2020-10-29 Zachary Wojtowicz , Simon DeDeo

For many years, at least since McCarthy and Hayes (1969), writers have lamented, and attempted to compensate for, the alleged fact that we often do not have adequate statistical knowledge for governing the uncertainty of belief, for making…

Artificial Intelligence · Computer Science 2013-04-10 Henry E. Kyburg

We introduce a modal logic for describing statistical knowledge, which we call statistical epistemic logic. We propose a Kripke model dealing with probability distributions and stochastic assignments, and show a stochastic semantics for the…

Logic in Computer Science · Computer Science 2023-07-19 Yusuke Kawamoto

We examine the role of textual data as study units when conducting causal inference by drawing parallels between human subjects and organized texts. %in human population research. We elaborate on key causal concepts and principles, and…

Computation and Language · Computer Science 2022-02-03 Bo Zhang , Jiayao Zhang

A growing body of work makes use of probing to investigate the working of neural models, often considered black boxes. Recently, an ongoing debate emerged surrounding the limitations of the probing paradigm. In this work, we point out the…

Computation and Language · Computer Science 2021-02-22 Yanai Elazar , Shauli Ravfogel , Alon Jacovi , Yoav Goldberg

According to the dominant view, time in perceptual decision making is used for integrating new sensory evidence. Based on a probabilistic framework, we investigated the alternative hypothesis that time is used for gradually refining an…

Neurons and Cognition · Quantitative Biology 2015-02-12 Máté Lengyel , Ádám Koblinger , Marjena Popović , József Fiser

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