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We propose a new class of claim severity distributions with six parameters, that has the standard two-parameter distributions, the log-normal, the log-Gamma, the Weibull, the Gamma and the Pareto, as special cases. This distribution is much…

Methodology · Statistics 2018-05-29 Erik Bølviken , Ingrid Hobæk Haff

This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

In a software product line (SPL), a collection of software products is defined by their commonalities in terms of features rather than explicitly specifying all products one-by-one. Several verification techniques were adapted to establish…

Software Engineering · Computer Science 2013-12-31 Clemens Dubslaff , Sascha Klüppelholz , Christel Baier

In the literature, insurance and reinsurance pricing is typically determined by a premium principle, characterized by a risk measure that reflects the policy seller's risk attitude. Building on the work of Meyers (1980) and Chen et al.…

Risk Management · Quantitative Finance 2025-07-08 Ziyue Shi , David Landriault , Fangda Liu

Do expert-defined or diagnostically-labeled data groups align with clusters inferred through statistical modeling? If not, where do discrepancies between predefined labels and model-based groupings occur and why? In this work, we introduce…

Methodology · Statistics 2026-03-18 Patricia Puchhammer , Ines Wilms , Peter Filzmoser

This is a hands-on introduction to Generalised Additive Mixed Models (GAMMs) in the context of linguistics with a particular focus on dynamic speech analysis (e.g. formant contours, pitch tracks, diachronic change, etc.). The main goal is…

Applications · Statistics 2017-03-17 Márton Sóskuthy

Modern language models are trained on large amounts of data. These data inevitably include controversial and stereotypical content, which contains all sorts of biases related to gender, origin, age, etc. As a result, the models express…

Computation and Language · Computer Science 2025-09-03 Aleksandra Sorokovikova , Pavel Chizhov , Iuliia Eremenko , Ivan P. Yamshchikov

Competing risks occur in survival analysis when multiple causes of death are present. They play a prominent role in several domains extending beyond biostatistics to encompass epidemiology, actuarial sciences, and reliability theory. This…

Methodology · Statistics 2026-04-30 Claudio Del Sole , Antonio Lijoi , Igor Prünster

In applications of predictive modeling, such as insurance pricing, indirect or proxy discrimination is an issue of major concern. Namely, there exists the possibility that protected policyholder characteristics are implicitly inferred from…

Machine Learning · Computer Science 2022-07-07 Mathias Lindholm , Ronald Richman , Andreas Tsanakas , Mario V. Wüthrich

In the near future, Structural Health Monitoring (SHM) technologies will be capable of overcoming the drawbacks in the current maintenance and life-cycle management paradigms, namely: cost, increased downtime, less-than-optimal safety…

Signal Processing · Electrical Eng. & Systems 2025-05-05 Ahmad Amer , Fotis Kopsaftopoulos

Machine learning models are often used to inform real world risk assessment tasks: predicting consumer default risk, predicting whether a person suffers from a serious illness, or predicting a person's risk to appear in court. Given…

Machine Learning · Computer Science 2023-06-27 Jamelle Watson-Daniels , David C. Parkes , Berk Ustun

Claim reserving primarily relies on macro-level models, with the Chain-Ladder method being the most widely adopted. These methods were heuristically developed without minimal statistical foundations, relying on oversimplified data…

Econometrics · Economics 2024-06-13 Sebastian Calcetero-Vanegas , Andrei L. Badescu , X. Sheldon Lin

Performance of Large Language Models (LLMs) on multiple-choice tasks differs markedly between symbol-based and cloze-style evaluation formats. The observed discrepancies are systematically attributable to task characteristics: natural…

Computation and Language · Computer Science 2026-02-02 Joonhak Lee , Sungmok Jung , Jongyeon Park , Jaejin Lee

Dynamic linear models with Gaussian observations and Gaussian states lead to closed-form formulas for posterior simulation. However, these closed-form formulas break down when the response or state evolution ceases to be Gaussian. Dynamic,…

Computation · Statistics 2013-09-20 Jesse Windle , Carlos M. Carvalho , James G. Scott , Liang Sun

We introduce a new computational framework for estimating parameters in generalized generalized linear models (GGLM), a class of models that extends the popular generalized linear models (GLM) to account for dependencies among observations…

Methodology · Statistics 2023-04-28 Anatoli Juditsky , Arkadi Nemirovski , Yao Xie , Chen Xu

Despite the high importance of grouping in practice, there exists little research on the respective topic. The present work presents a complete framework for grouping and a novel method to optimize model points. Model points are used to…

Risk Management · Quantitative Finance 2019-12-23 Mark Kiermayer , Christian Weiß

The generalized linear mixed model (GLMM) is widely used for analyzing correlated data, particularly in large-scale biomedical and social science applications. Scalable Bayesian inference for GLMMs is challenging because the marginal…

Computation · Statistics 2026-01-07 Samuel I. Berchuck , Youngsoo Baek , Felipe A. Medeiros , Andrea Agazzi

Dynamic prediction of time-to-event outcomes using longitudinal data is highly useful in clinical research and practice. A common strategy is the joint modeling of longitudinal and time-to-event data. The shared random effect model has been…

Methodology · Statistics 2025-05-27 Wenhao Li , Zhe Yin , Liang Li

Linear mixed models are able to handle an extraordinary range of complications in regression-type analyses. Their most common use is to account for within-subject correlation in longitudinal data analysis. They are also the standard vehicle…

Statistics Theory · Mathematics 2007-06-13 Y. Zhao , J. Staudenmayer , B. A. Coull , M. P. Wand

We present a new model for credit index derivatives, in the top-down approach. This model has a dynamic loss intensity process with volatility and jumps and can include counterparty risk. It handles CDS, CDO tranches, Nth-to-default and…

Pricing of Securities · Quantitative Finance 2009-11-10 Louis Paulot