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This work presents a theoretical and empirical evaluation of Anderson-Darling test when the sample size is limited. The test can be applied in order to backtest the risk factors dynamics in the context of Counterparty Credit Risk modelling.…

风险管理 · 定量金融 2015-05-19 M. Formenti , L. Spadafora , M. Terraneo , F. Ramponi

Prediction credibility measures, in the form of confidence intervals or probability distributions, are fundamental in statistics and machine learning to characterize model robustness, detect out-of-distribution samples (outliers), and…

机器学习 · 计算机科学 2020-11-26 Luiz F. O. Chamon , Santiago Paternain , Alejandro Ribeiro

Some large scale inference problems are considered based on using the relative belief ratio as a measure of statistical evidence. This approach is applied to the multiple testing problem. A particular application of this is concerned with…

统计理论 · 数学 2016-09-22 Michael Evans , Jabed Tomal

Confidence limits are common place in physics analysis. Great care must be taken in their calculation and use, especially in cases of limited statistics when often one-sided limits are quoted. In order to estimate the stability of the…

数据分析、统计与概率 · 物理学 2007-05-23 Rajendran Raja

Counterfactual explanations are a common approach to providing recourse to data subjects. However, current methodology can produce counterfactuals that cannot be achieved by the subject, making the use of counterfactuals for recourse…

机器学习 · 计算机科学 2024-03-04 Alexander Asemota , Giles Hooker

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

数据分析、统计与概率 · 物理学 2020-12-09 Jochen Bröcker

To meet the Basel II regulatory requirements for the Advanced Measurement Approaches in operational risk, the bank's internal model should make use of the internal data, relevant external data, scenario analysis and factors reflecting the…

风险管理 · 定量金融 2009-04-14 Hans Bühlmann , Pavel V. Shevchenko , Mario V. Wüthrich

Confidence intervals are central to statistical inference as a tool to evaluate the type I error risk at a given significance level. We devise a method to construct confidence intervals using a single run of a permutation test. This…

统计方法学 · 统计学 2022-06-22 Niels Lundtorp Olsen

A confidence distribution is a distribution for a parameter of interest based on a parametric statistical model. As such, it serves the same purpose for frequentist statisticians as a posterior distribution for Bayesians, since it allows to…

统计方法学 · 统计学 2021-09-06 Erlis Ruli , Laura Ventura , Monica Musio

We are concerned with the problem of introducing credibility type information into reasoning systems. The concept of credibility allows us to discount information provided by agents. An important characteristic of this kind of procedure is…

人工智能 · 计算机科学 2013-04-05 Ronald R. Yager

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

统计方法学 · 统计学 2026-03-11 Markku Kuismin

This paper presents a theory of error in cross-validation testing of algorithms for predicting real-valued attributes. The theory justifies the claim that predicting real-valued attributes requires balancing the conflicting demands of…

机器学习 · 计算机科学 2007-05-23 Peter D. Turney

It is common when using cross-section or panel data to assign each observation to a cluster and allow for arbitrary patterns of heteroskedasticity and correlation within clusters. For regression models, there are many ways to make…

计量经济学 · 经济学 2026-04-03 James G. MacKinnon

The widespread use of machine learning in credit scoring has brought significant advancements in risk assessment and decision-making. However, it has also raised concerns about potential biases, discrimination, and lack of transparency in…

Reliability is probability of success in a success-failure experiment. Confidence in reliability estimate improves with increasing number of samples. Assurance sets confidence level same as reliability to create one number for easier…

统计方法学 · 统计学 2023-03-07 Sanjay M. Joshi

This paper introduces a credit risk rating model for credit risk assessment in quantitative finance, aiming to categorize borrowers based on their behavioral data. The model is trained on data from Experian, a widely recognized credit…

风险管理 · 定量金融 2024-01-19 O. Didkovskyi , N. Jean , G. Le Pera , C. Nordio

Credit risk prediction is an effective way of evaluating whether a potential borrower will repay a loan, particularly in peer-to-peer lending where class imbalance problems are prevalent. However, few credit risk prediction models for…

机器学习 · 计算机科学 2018-05-03 Anahita Namvar , Mohammad Siami , Fethi Rabhi , Mohsen Naderpour

A framework is developed using techniques from rate distortion theory in statistical testing. The idea is first to do optimal compression according to a certain distortion function and then use information divergence from the compressed…

信息论 · 计算机科学 2009-04-01 Peter Harremoes

Analysis of credibility is a reverse-Bayes technique that has been proposed by Matthews (2001) to overcome some of the shortcomings of significance tests. A significant result is deemed credible if current knowledge about the effect size is…

统计方法学 · 统计学 2017-12-11 Leonhard Held

Measurements are generally collected as unilateral or bilateral data in clinical trials or observational studies. For example, in ophthalmology studies, the primary outcome is often obtained from one eye or both eyes of an individual. In…

统计方法学 · 统计学 2021-11-01 Kejia Wang , Chang-Xing Ma
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