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This paper studies expected performance and practical feasibility of the most commonly used classes of source-level likelihood-ratio (LR) systems when applied to a trace-reference comparison problem. The paper compares performance of these…

Applications · Statistics 2026-04-27 Peter Vergeer

Score matching is an alternative to maximum likelihood (ML) for estimating a probability distribution parametrized up to a constant of proportionality. By fitting the ''score'' of the distribution, it sidesteps the need to compute this…

Machine Learning · Computer Science 2023-06-06 Chirag Pabbaraju , Dhruv Rohatgi , Anish Sevekari , Holden Lee , Ankur Moitra , Andrej Risteski

For several decades, legal and scientific scholars have argued that conclusions from forensic examinations should be supported by statistical data and reported within a probabilistic framework. Multiple models have been proposed to quantify…

Applications · Statistics 2019-10-14 Cedric Neumann , Madeline A. Ausdemore

In 2016, the European Network of Forensic Science Institutes (ENFSI) published guidelines for the evaluation, interpretation and reporting of scientific evidence. In the guidelines, ENFSI endorsed the use of the likelihood ratio (LR) as a…

Applications · Statistics 2020-05-25 Nathaniel Garton , Danica Ommen , Jarad Niemi , Alicia Carriquiry

In many statistical problems, the data distribution is specified through a generative process for which the likelihood function is analytically intractable, yet inference on the associated model parameters remains of primary interest. We…

Methodology · Statistics 2026-04-01 Haoyu Jiang , Yuexi Wang , Yun Yang

A group of approaches for calculating forensic likelihood ratios first calculates scores which quantify the degree of difference or the degree of similarity between pairs of samples, then converts those scores to likelihood ratios. In order…

Applications · Statistics 2016-12-28 Geoffrey Stewart Morrison

We propose a mechanism design framework that incorporates both soft information, which can be freely manipulated, and semi-hard information, which entails a cost for falsification. The framework captures various contexts such as school…

Theoretical Economics · Economics 2024-03-14 Eduardo Perez-Richet , Vasiliki Skreta

Algorithmic decision systems are increasingly used in areas such as hiring, school admission, or loan approval. Typically, these systems rely on labeled data for training a classification model. However, in many scenarios, ground-truth…

Machine Learning · Computer Science 2021-07-19 Jakob Schoeffer , Niklas Kuehl , Isabel Valera

The rapid advancement and widespread adoption of machine learning-driven technologies have underscored the practical and ethical need for creating interpretable artificial intelligence systems. Feature importance, a method that assigns…

Machine Learning · Computer Science 2023-12-07 Nimrod Harel , Uri Obolski , Ran Gilad-Bachrach

Logistic-regression calibration and fusion are potential steps in the calculation of forensic likelihood ratios. The present paper provides a tutorial on logistic-regression calibration and fusion at a practical conceptual level with…

Applications · Statistics 2021-04-20 Geoffrey Stewart Morrison

Usage of field-normalized citation scores is a bibliometric standard. Different methods for field-normalization are in use, but also the choice of field-classification system determines the resulting field-normalized citation scores. Using…

Digital Libraries · Computer Science 2021-12-17 Robin Haunschild , Angela D. Daniels , Lutz Bornmann

In this paper, we propose a modified version of ranked set sample which allows for the incorporation of more information in the inference procedure at almost no cost. This procedure is studied for the location-scale family using a…

Methodology · Statistics 2022-10-21 Mohd Alodat , Ayman Baklizi

The pairwise winning indices, computed in the Stochastic Multicriteria Acceptability Analysis, give the probability with which an alternative is preferred to another taking into account all the instances of the assumed preference model…

Optimization and Control · Mathematics 2022-03-29 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

The likelihood ratio (LR) is a commonly used measure for determining the strength of forensic match evidence. When a forensic expert determines a high LR for DNA found at a crime scene matching the DNA profile of a suspect they typically…

Applications · Statistics 2020-09-21 Norman Fenton , Allan Jamieson , Sara Gomes , Martin Neil

The vast availability of large scale, massive and big data has increased the computational cost of data analysis. One such case is the computational cost of the univariate filtering which typically involves fitting many univariate…

Methodology · Statistics 2020-02-13 M. Tsagris , A. Alenazi , S. Fafalios

When presenting forensic evidence, such as a DNA match, experts often use the Likelihood ratio (LR) to explain the impact of evidence . The LR measures the probative value of the evidence with respect to a single hypothesis such as 'DNA…

Applications · Statistics 2021-06-11 Norman Fenton , Martin Neil

The likelihood ratio (LR) measures the relative weight of forensic data regarding two hypotheses. Several levels of uncertainty arise if frequentist methods are chosen for its assessment: the assumed population model only approximates the…

Applications · Statistics 2016-12-26 Giulia Cereda

Score matching is a recently developed parameter learning method that is particularly effective to complicated high dimensional density models with intractable partition functions. In this paper, we study two issues that have not been…

Machine Learning · Computer Science 2012-05-14 Siwei Lyu

The score test statistic using the observed information is easy to compute numerically. Its large sample distribution under the null hypothesis is well known and is equivalent to that of the score test based on the expected information, the…

Statistics Theory · Mathematics 2018-08-10 N. Karavarsamis , G. Guillera-Arroita , RM Huggins , B J T Morgan

Prior proposals for cumulative statistics suggest making tiny random perturbations to the scores (independent variables in a regression) in order to ensure the scores' uniqueness. Uniqueness means that no score for any member of the…

Methodology · Statistics 2022-08-23 Mark Tygert
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