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This paper is an attempt to bring together two approaches to language analysis. The possible use of probabilistic information in principle-based grammars and parsers is considered, including discussion on some theoretical and computational…

cmp-lg · Computer Science 2008-02-03 Andrew Fordham , Matthew Crocker

Many researchers want to unify probability and logic by defining logical probability or probabilistic logic reasonably. This paper tries to unify statistics and logic so that we can use both statistical probability and logical probability…

Other Statistics · Statistics 2020-11-03 Chenguang Lu

Recently, Sturma, Drton, and Leung proposed a general-purpose stochastic method for hypothesis testing in models defined by polynomial equality and inequality constraints. Notably, the method remains theoretically valid even near irregular…

Populations and Evolution · Quantitative Biology 2025-07-21 David Barnhill , Marina Garrote-López , Elizabeth Gross , Max Hill , Bryson Kagy , John A. Rhodes , Joy Z. Zhang

The features of a logically sound approach to a theory of statistical reasoning are discussed. A particular approach that satisfies these criteria is reviewed. This is seen to involve selection of a model, model checking, elicitation of a…

Statistics Theory · Mathematics 2018-05-09 Luai Al-Labadi , Zeynep Baskurt , Michael Evans

Statistics comes in two main flavors: frequentist and Bayesian. For historical and technical reasons, frequentist statistics have traditionally dominated empirical data analysis, and certainly remain prevalent in empirical software…

Software Engineering · Computer Science 2024-10-03 Carlo A. Furia , Robert Feldt , Richard Torkar

A/B tests are typically analyzed via frequentist p-values and confidence intervals; but these inferences are wholly unreliable if users endogenously choose samples sizes by *continuously monitoring* their tests. We define *always valid*…

Statistics Theory · Mathematics 2019-07-18 Ramesh Johari , Leo Pekelis , David J. Walsh

There are two main opposing schools of statistical reasoning, Frequentist and Bayesian approaches. Until recent days, the frequentist or classical approach has dominated the scientific research, but Bayesianism has reappeared with a strong…

Statistics Theory · Mathematics 2008-12-18 Jordi Vallverdú

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

Methodology · Statistics 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

This paper investigates the possibility of performing automated reasoning in probabilistic logic when probabilities are expressed by means of linguistic quantifiers. Each linguistic term is expressed as a prescribed interval of proportions.…

Artificial Intelligence · Computer Science 2013-03-25 Didier Dubois , Henri Prade , Lluis Godo , Ramon Lopez de Mantaras

Applied statistical problems often come with pre-specified groupings to predictors. It is natural to test for the presence of simultaneous group-wide signal for groups in isolation, or for multiple groups together. Classical tests for the…

Applications · Statistics 2015-11-25 Stephen Reid , Jonathan Taylor , Robert Tibshirani

In this thesis, we investigate three problems involving the probabilistic modeling of language: smoothing n-gram models, statistical grammar induction, and bilingual sentence alignment. These three problems employ models at three different…

cmp-lg · Computer Science 2008-02-03 Stanley F. Chen

This paper analyzes the working or default assumptions researchers in the formal, statistical, and case study traditions typically hold regarding the sources of unexplained variance, the meaning of outliers, parameter values, human…

Methodology · Statistics 2022-02-17 Andrew Bennett , Bear F. Braumoeller

The original frequentist approach for computing confidence intervals involves the construction of the confidence belt which provides a mapping of the observation in data into a subset of values for the parameter. There are different…

Data Analysis, Statistics and Probability · Physics 2016-01-18 Kristian Damlund Gregersen , Jørgen Beck Hansen

The success of neural networks on a diverse set of NLP tasks has led researchers to question how much these networks actually ``know'' about natural language. Probes are a natural way of assessing this. When probing, a researcher chooses a…

Computation and Language · Computer Science 2020-05-26 Tiago Pimentel , Josef Valvoda , Rowan Hall Maudslay , Ran Zmigrod , Adina Williams , Ryan Cotterell

Nous pr\'esentons dans cette contribution une approche \`a la fois symbolique et probabiliste permettant d'extraire l'information sur la segmentation du signal de parole \`a partir d'information prosodique. Nous utilisons pour ce faire des…

Machine Learning · Computer Science 2008-12-18 Irina Nesterenko , Stéphane Rauzy

This paper presents a brief, semi-technical comparison of the essential features of the frequentist and Bayesian approaches to statistical inference, with several illustrative examples implemented in Python. The differences between…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 Jake VanderPlas

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

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

The paper addresses general aspects of experimental data analysis, dealing with the separation of ``signal vs. background''. It consists of two parts. Part I is a tutorial on statistical event classification, Bayesian inference, and test…

Data Analysis, Statistics and Probability · Physics 2023-06-30 Rudolf Frühwirth , Winfried Mitaroff

This paper re-visits the problem of deciding between two simple hypotheses, the setting considered by Neyman and Pearson in developing their fundamental lemma. It studies the decision process induced by the most powerful test and the…

Statistics Theory · Mathematics 2019-11-19 Edsel A. Pena