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The problem of the estimation of relevance to a set of histograms generated by samples of a discrete time process is discussed on the base of the variational principles proposed in the previous paper [1]. Some conditions for dimension…

Optimization and Control · Mathematics 2018-05-28 M. A. Antonets

There is a growing trend among statistical agencies to explore non-probability data sources for producing more timely and detailed statistics, while reducing costs and respondent burden. Coverage and measurement error are two issues that…

Methodology · Statistics 2024-09-19 Lyndon Ang , Robert Clark , Bronwyn Loong , Anders Holmberg

This paper describes prediction methods for the number of future events from a population of units associated with an on-going time-to-event process. Examples include the prediction of warranty returns and the prediction of the number of…

Methodology · Statistics 2020-08-10 Qinglong Tian , Fanqi Meng , Daniel J. Nordman , William Q. Meeker

The use of big data in official statistics and the applied sciences is accelerating, but statistics computed using only big data often suffer from substantial selection bias. This leads to inaccurate estimation and invalid statistical…

Methodology · Statistics 2023-08-11 Ryan Covey , Lucca Buonamano

We present new estimators for the statistical analysis of the dependence of the mean gap time length between consecutive recurrent events, on a set of explanatory random variables and in the presence of right censoring. The dependence is…

Applications · Statistics 2021-09-10 Ioana Schiopu-Kratina , Hai Yan Liu , Mayer Alvo , Pierre-Jerome Bergeron

Bayesian networks provide a probabilistic semantics for qualitative assertions about likelihood. A qualitative reasoner based on an algebra over these assertions can derive further conclusions about the influence of actions. While the…

Artificial Intelligence · Computer Science 2013-04-12 Michael P. Wellman

Probabilistic programming languages represent complex data with intermingled models in a few lines of code. Efficient inference algorithms in probabilistic programming languages make possible to build unified frameworks to compute…

Machine Learning · Statistics 2016-07-15 Anh Tong , Jaesik Choi

Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive…

Logic in Computer Science · Computer Science 2012-09-13 Marcus Hutter , John W. Lloyd , Kee Siong Ng , William T. B. Uther

As the frontiers of applied statistics progress through increasingly complex experiments we must exploit increasingly sophisticated inferential models to analyze the observations we make. In order to avoid misleading or outright erroneous…

Methodology · Statistics 2018-03-23 Michael Betancourt

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 legal cases require decisions about causality, responsibility or blame, and these may be based on statistical data. However, causal inferences from such data are beset by subtle conceptual and practical difficulties, and in general it…

Statistics Theory · Mathematics 2020-04-28 Philip Dawid , Monica Musio , Rossella Murtas

This paper considers the challenges Large Language Models (LLMs) face when reasoning over text that includes information involving uncertainty explicitly quantified via probability values. This type of reasoning is relevant to a variety of…

Computation and Language · Computer Science 2024-12-30 Aliakbar Nafar , Kristen Brent Venable , Parisa Kordjamshidi

Testing hypotheses is an issue of primary importance in the scientific research, as well as in many other human activities. Much clarification about it can be achieved if the process of learning from data is framed in a stochastic model of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 G. D'Agostini

We observe a random measure $N$ and aim at estimating its intensity $s$. This statistical framework allows to deal simultaneously with the problems of estimating a density, the marginals of a multivariate distribution, the mean of a random…

Statistics Theory · Mathematics 2009-05-12 Yannick Baraud

Explaining how to get from A to B can be challenging. It requires mentally simulating what the listener will do based on what they are told. To capture this process, we propose a computational model that converts utterances into action…

Computation and Language · Computer Science 2026-05-12 Hanqi Zhou , Britt Besch , Charley M. Wu , Tobias Gerstenberg

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

This paper describes ongoing research into planning in an uncertain environment. In particular, it introduces U-Plan, a planning system that constructs quantitatively ranked plans given an incomplete description of the state of the world.…

Artificial Intelligence · Computer Science 2013-03-08 Todd Michael Mansell

Large language models (LLMs) have been proposed as alternatives to human experts for estimating unknown quantities with associated uncertainty, a process known as Bayesian elicitation. We test this by asking eleven LLMs to estimate…

Artificial Intelligence · Computer Science 2026-04-03 Luka Hobor , Mario Brcic , Mihael Kovac , Kristijan Poje

Modern language models predict the next token in the sequence by considering the past text through a powerful function such as attention. However, language models have no explicit mechanism that allows them to spend computation time for…

Computation and Language · Computer Science 2024-09-04 Florian Mai , Nathan Cornille , Marie-Francine Moens

In many applications, accurate class probability estimates are required, but many types of models produce poor quality probability estimates despite achieving acceptable classification accuracy. Even though probability calibration has been…

Machine Learning · Computer Science 2020-02-18 Tim Leathart , Maksymilian Polaczuk