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Based on the recent paper by Delong et al. (2021), two distributions for the total claims amount (loss cost) are considered: Compound Poisson-gamma (CPG) and Tweedie. Each is used as an underlying distribution in the Bonus-Malus Scale (BMS)…

Applications · Statistics 2023-11-07 Jean-Philippe Boucher , Raïssa Coulibaly

In general insurance companies, a correct estimation of liabilities plays a key role due to its impact on management and investing decisions. Since the Financial Crisis of 2007-2008 and the strengthening of regulation, the focus is not only…

Risk Management · Quantitative Finance 2022-05-17 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

Composite endpoints that combine multiple outcomes on different scales are common in clinical trials, particularly in chronic conditions. In many of these cases, patients will have to cross a predefined responder threshold in each of the…

Methodology · Statistics 2019-02-20 Martina McMenamin , Jessica K. Barrett , Anna Berglind , James M. S. Wason

Structured Latent Attribute Models (SLAMs) are a family of discrete latent variable models widely used in education, psychology, and epidemiology to model multivariate categorical data. A SLAM assumes that multiple discrete latent…

Methodology · Statistics 2021-07-12 Yuqi Gu , Gongjun Xu

We propose a hidden Markov model for univariate proportion time series taking values in (0,1), where regime switching captures latent structural changes and the emission distribution belongs to the Beta family. In each latent state, the…

Methodology · Statistics 2026-05-11 Andrea Nigri , Han Lin Shang , Marco Bonetti

This paper shows in detail the application of a new stochastic approach for the characterization of surface height profiles, which is based on the theory of Markov processes. With this analysis we achieve a characterization of the scale…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Waechter , F. Riess , Th. Schimmel , U. Wendt , J. Peinke

Hierarchical parametric models consisting of observable and latent variables are widely used for unsupervised learning tasks. For example, a mixture model is a representative hierarchical model for clustering. From the statistical point of…

Machine Learning · Statistics 2014-01-24 Keisuke Yamazaki

Latent factor model estimation typically relies on either using domain knowledge to manually pick several observed covariates as factor proxies, or purely conducting multivariate analysis such as principal component analysis. However, the…

Methodology · Statistics 2023-01-04 Runzhe Wan , Yingying Li , Wenbin Lu , Rui Song

We show that a probabilistic version of the classical forward-stepwise variable inclusion procedure can serve as a general data-augmentation scheme for model space distributions in (generalized) linear models. This latent variable…

Methodology · Statistics 2014-10-23 Li Ma

This paper proposes a new family of Tweedie-based ratemaking models that explicitly account for mid-term policy cancellations. Using an automobile insurance dataset from a Canadian insurer, we document a marked difference in claims…

Applications · Statistics 2026-04-06 Jean-Philippe Boucher , Raïssa Coulibaly , Julien Trufin

We revisit the Bayesian Black-Litterman (BL) portfolio model and remove its reliance on subjective investor views. Classical BL requires an investor "view": a forecast vector $q$ and its uncertainty matrix $\Omega$ that describe how much a…

Portfolio Management · Quantitative Finance 2025-05-06 Thomas Y. L. Lin , Jerry Yao-Chieh Hu , Paul W. Chiou , Peter Lin

Not only does mobile health technology enable researchers to track changes in multiple longitudinal outcomes of interest and to record the occurrence of health-related events over time, but it also allows for the delivery of repeated…

Recommender systems are widely used for suggesting books, education materials, and products to users by exploring their behaviors. In reality, users' preferences often change over time, leading to studies on time-dependent recommender…

Information Retrieval · Computer Science 2024-12-17 Haidong Zhang , Wancheng Ni , Xin Li , Yiping Yang

Joint models (JMs) for longitudinal and time-to-event data are an important class of biostatistical models in health and medical research. When the study population consists of heterogeneous subgroups, the standard JM may be inadequate and…

Methodology · Statistics 2024-10-31 Sida Chen , Danilo Alvares , Marco Palma , Jessica K. Barrett

To address an important risk classification issue that arises in clinical practice, we propose a new mixture model via latent cure rate markers for survival data with a cure fraction. In the proposed model, the latent cure rate markers are…

Applications · Statistics 2009-10-12 Sungduk Kim , Yingmei Xi , Ming-Hui Chen

The financial crisis of 2008 generated interest in more transparent, rules-based strategies for portfolio construction, with Smart beta strategies emerging as a trend among institutional investors. While they perform well in the long run,…

Computational Engineering, Finance, and Science · Computer Science 2019-03-01 Elizabeth Fons , Paula Dawson , Jeffrey Yau , Xiao-jun Zeng , John Keane

This paper re-examines the problem of estimating risk premia in linear factor pricing models. Typically, the data used in the empirical literature are characterized by weakness of some pricing factors, strong cross-sectional dependence in…

Econometrics · Economics 2019-04-09 Stanislav Anatolyev , Anna Mikusheva

The task of modeling claim severities is addressed when data is not consistent with the classical regression assumptions. This framework is common in several lines of business within insurance and reinsurance, where catastrophic losses or…

Statistics Theory · Mathematics 2022-04-01 Martin Bladt , Jorge Yslas

In this paper, we model dependence between operational risks by allowing risk profiles to evolve stochastically in time and to be dependent. This allows for a flexible correlation structure where the dependence between frequencies of…

Risk Management · Quantitative Finance 2009-07-31 Gareth W. Peters , Pavel V. Shevchenko , Mario V. Wüthrich

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized items for different users. Latent factors based collaborative filtering (CF) has become the popular approaches for…

Information Retrieval · Computer Science 2021-01-15 Guang-Neng Hu , Xin-Yu Dai , Feng-Yu Qiu , Rui Xia , Tao Li , Shu-Jian Huang , Jia-Jun Chen
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