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Random shifting typically appears in credibility models whereas random scaling is often encountered in stochastic models for claim sizes reflecting the time-value property of money. In this article we discuss some aspects of random shifting…

Methodology · Statistics 2014-10-08 Enkelejd Hashorva , Lanpeng Ji

Completely random measures (CRMs) and their normalizations are a rich source of Bayesian nonparametric priors. Examples include the beta, gamma, and Dirichlet processes. In this paper we detail two major classes of sequential CRM…

Statistics Theory · Mathematics 2020-05-11 Trevor Campbell , Jonathan H. Huggins , Jonathan P. How , Tamara Broderick

Accuracy and interpretability of a (non-life) insurance pricing model are essential qualities to ensure fair and transparent premiums for policy-holders, that reflect their risk. In recent years, the classification and regression trees…

Machine Learning · Statistics 2023-12-04 Yaojun Zhang , Lanpeng Ji , Georgios Aivaliotis , Charles Taylor

This paper proposes to use a rather new modelling approach in the realm of solar radiation forecasting. In this work, two forecasting models: Autoregressive Moving Average (ARMA) and Neural Network (NN) models are combined to form a model…

Applications · Statistics 2012-03-27 Philippe Lauret , Auline Rodler , Marc Muselli , Mathieu David , Hadja Diagne , Cyril Voyant

In the classical Bonus-Malus System (BMS) in automobile insurance, the premium for the next year is adjusted according to the policyholder's claim history (particularly frequency) in the previous year. Some variations of the classical BMS…

Applications · Statistics 2021-06-08 Jae Youn Ahn , Eric C. K. Cheung , Rosy Oh , Jae-Kyung Woo

This article introduces a novel dynamic framework to Bayesian model averaging for time-varying parameter quantile regressions. By employing sequential Markov chain Monte Carlo, we combine empirical estimates derived from dynamically chosen…

Statistics Theory · Mathematics 2024-11-08 Mauro Bernardi , Roberto Casarin , Bertrand Maillet , Lea Petrella

There have been significant efforts devoted to solving the longevity risk given that a continuous growth in population ageing has become a severe issue for many developed countries over the past few decades. The Cairns-Blake-Dowd (CBD)…

Applications · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

We propose a statistical modeling technique, called the Hierarchical Association Rule Model (HARM), that predicts a patient's possible future medical conditions given the patient's current and past history of reported conditions. The core…

Applications · Statistics 2012-06-29 Tyler H. McCormick , Cynthia Rudin , David Madigan

The EU Solvency II directive recommends insurance companies to pay more attention to the risk management methods. The sense of risk management is the ability to quantify risk and apply methods that reduce uncertainty. In life insurance, the…

Econometrics · Economics 2018-04-02 Kamil Jodź

We introduce a new paradigm for risk sharing that generalizes earlier models based on discrete agents and extends them to allow for sharing risk within a continuum of agents. Agents are represented by points of a measure space and have…

Risk Management · Quantitative Finance 2026-03-04 Vasily Melnikov

Two-part joint models for a longitudinal semicontinuous biomarker and a terminal event have been recently introduced based on frequentist estimation. The biomarker distribution is decomposed into a probability of positive value and the…

Model-form uncertainties in complex mechanics systems are a major obstacle for predictive simulations. Reducing these uncertainties is critical for stake-holders to make risk-informed decisions based on numerical simulations. For example,…

Fluid Dynamics · Physics 2018-09-11 J. -L. Wu , J. -X. Wang , H. Xiao

Banks and financial institutions all over the world manage portfolios containing tens of thousands of customers. Not all customers are high credit-worthy, and many possess varying degrees of risk to the Bank or financial institutions that…

Applications · Statistics 2021-09-17 Dominic Joseph

Risk assessment instruments are used across the criminal justice system to estimate the probability of some future behavior given covariates. The estimated probabilities are then used in making decisions at the individual level. In the…

Applications · Statistics 2021-02-03 Kristian Lum , David B. Dunson , James Johndrow

In Probabilistic Risk Management, risk is characterized by two quantities: the magnitude (or severity) of the adverse consequences that can potentially result from the given activity or action, and by the likelihood of occurrence of the…

Artificial Intelligence · Computer Science 2009-10-07 Eric Daudé , Pierrick Tranouez , Patrice Langlois

The application of machine learning models can be significantly impeded by the occurrence of distributional shifts, as the assumption of homogeneity between the population of training and testing samples in machine learning and statistics…

Machine Learning · Statistics 2023-06-06 Wenlu Tang , Zicheng Liu

The present study aims to determine the lifetime prognosis of highly durable nondestructive one-shot devices (NOSD) units under a step-stress accelerated life testing (SSALT) experiment applying a cumulative risk model (CRM). In an SSALT…

Methodology · Statistics 2025-03-12 Shanya Baghel , Shuvashree Mondal

In ordinary quantile regression, quantiles of different order are estimated one at a time. An alternative approach, which is referred to as quantile regression coefficients modeling (QRCM), is to model quantile regression coefficients as…

Methodology · Statistics 2020-06-02 Paolo Frumento , Matteo Bottai , Iván Fernández-Val

Motivated by the Acute Respiratory Distress Syndrome Network (ARDSNetwork) ARDS respiratory management (ARMA) trial, we developed a flexible Bayesian machine learning approach to estimate the average causal effect and heterogeneous causal…

Applications · Statistics 2024-10-29 Xinyuan Chen , Michael O. Harhay , Guangyu Tong , Fan Li

The cumulative incidence is the probability of failure from the cause of interest over a certain time period in the presence of other risks. A semiparametric regression model proposed by Fine and Gray (1999) has become the method of choice…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin
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