Actuarial science · Insurance analytics

Risk models for a data-rich world.

I am a Professor of Actuarial Science at the University of Toronto. My research connects rigorous stochastic modelling with modern insurance data—from claim reserving and ratemaking to telematics and behavioural risk.

Professor · Department of Statistical Sciences Associate Editor · IME, Annals of Actuarial Science & Risks
Andrei L. Badescu

Research

From insurance portfolios to individual behaviour.

My work develops statistically principled methods that remain useful in practice—combining probability, Bayesian modelling, latent-state methods, machine learning, and granular insurance data.

01

Claim reserving & pricing

Micro-level and aggregate reserving, reporting delays, IBNR estimation, population-sampling foundations, and coherent links between reserves and premiums.

02

Telematics & behavioural risk

High-frequency driving signals, hidden Markov models, anomaly detection, temporal motifs, collision detection, and dynamic risk indices.

03

Insurance analytics & ratemaking

Mixture-of-experts models, risk classification, random effects, censored and truncated loss data, and interpretable predictive modelling.

04

Mathematical risk theory

Dependence, ruin theory, Markov-additive processes, stochastic fluid flows, matrix-analytic methods, and operational risk.

Publications

Research since 2019.

Peer-reviewed and current research across telematics, reserving, ratemaking, insurance analytics, and stochastic risk modelling. Full-text links will be added as repository copies become available.

2026

A Portfolio-Anchored Frequency–Severity Risk Index for Trip and Driver Assessment Using Telematics Signals

Jongtaek Lee, Andrei Badescu & X. Sheldon Lin · ASTIN Bulletin

2026

Unified Bayesian Collective Reserving Framework with Hierarchical Temporal Smoothing

Hassan Abdelrahman, Andrei Badescu & X. Sheldon Lin · Insurance: Mathematics and Economics

2026

Marked Cox Models for IBNR Claims Count: Continuous and Discretized Approaches with Dirichlet-Driven Reporting Delays

Hassan Abdelrahman, Andrei L. Badescu, Radu V. Craiu & X. Sheldon Lin · ASTIN Bulletin 56(1): 60–88

2026

An Effective Bayesian GLM Approach for IBNR Claim Count Estimation

Hassan Abdelrahman, Andrei Badescu & X. Sheldon Lin · North American Actuarial Journal 30(3): 575–598

2025

Assessing Driving Risk Through Unsupervised Detection of Anomalies in Telematics Time Series Data

Ian Weng Chan, Andrei L. Badescu & X. Sheldon Lin · ASTIN Bulletin 55: 205–241

2025

Data Mining of Telematics Data: Unveiling the Hidden Patterns in Driving Behavior

Ian Weng Chan, Spark C. Tseung, Andrei L. Badescu & X. Sheldon Lin · North American Actuarial Journal 29(3): 275–309

2025

Claim Reserving via Inverse Probability Weighting: A Micro-Level Chain-Ladder Method

Sebastian Calcetero Vanegas, Andrei L. Badescu & X. Sheldon Lin · European Actuarial Journal 15: 89–135

2025

A Population Sampling Framework for Claim Reserving in General Insurance

Sebastian Calcetero Vanegas, Andrei L. Badescu & X. Sheldon Lin Submitted

2024

Effective Experience Rating for Large Insurance Portfolios via Surrogate Modeling

Sebastian Calcetero Vanegas, Andrei L. Badescu & X. Sheldon Lin · Insurance: Mathematics and Economics 118: 25–43

2023

Improving Risk Classification and Ratemaking Using Mixture-of-Experts Models with Random Effects

Spark C. Tseung, Ian Weng Chan, Tsz Chai Fung, Andrei L. Badescu & X. Sheldon Lin · Journal of Risk and Insurance 90: 789–820

2022

Fitting Censored and Truncated Regression Data Using Mixture-of-Experts Models

Tsz Chai Fung, Andrei L. Badescu & X. Sheldon Lin · North American Actuarial Journal 26(4): 496–520

2021

LRMoE.jl: A Software Package for Flexible Actuarial Loss Modelling Using Mixture-of-Experts Regression Models

Spark C. Tseung, Andrei L. Badescu, Tsz Chai Fung & X. Sheldon Lin · Annals of Actuarial Science 15(2): 419–440

2020

A New Class of Severity Regression Models with an Application to IBNR Prediction

Tsz Chai Fung, Andrei L. Badescu & X. Sheldon Lin · North American Actuarial Journal 25(2): 206–231

2019

A Class of Mixture-of-Experts Models for General Insurance: Theoretical Developments

Tsz Chai Fung, Andrei L. Badescu & X. Sheldon Lin · Insurance: Mathematics and Economics 89: 111–127

2019

A Class of Mixture-of-Experts Models for General Insurance: Application to Correlated Claim Frequencies

Tsz Chai Fung, Andrei L. Badescu & X. Sheldon Lin · ASTIN Bulletin 49(3): 647–688

2019

A Marked Cox Model for the Number of IBNR Claims: Estimation and Application

Andrei L. Badescu, Tianle Chen, X. Sheldon Lin & Dameng Tang · ASTIN Bulletin 49(3): 709–739

2019

Multivariate Cox Hidden Markov Models with an Application to Operational Risk

Tsz Chai Fung, Andrei L. Badescu & X. Sheldon Lin · Scandinavian Actuarial Journal 2019(8): 686–710

“Actuarial models should be mathematically coherent, statistically defensible, and useful for decisions.”

I joined the University of Toronto in 2006, following doctoral studies in actuarial science at Western University and postdoctoral work at the University of Waterloo. I became a full professor in 2020.

My earlier work focused on mathematical risk theory, queueing theory, stochastic fluid flows, and matrix-analytic methods. That foundation continues to shape my current research in claim reserving, ratemaking, insurance data science, and telematics.

I served as Director of the Master of Financial Insurance program from 2022 to 2025 and as Interim Chair of the Department of Statistical Sciences in 2024. I am an Associate Editor of Insurance: Mathematics and Economics (since 2018), the Annals of Actuarial Science (since 2024), and Risks (since 2026).

Collaboration & mentorship

Research through people.

My research program is built around long-term collaboration with students and colleagues, with projects designed to connect methodological contribution, reproducible computation, and actuarial relevance.

Insurance analytics

Flexible regression, mixture-of-experts modelling, latent heterogeneity, and software for modern loss data.

Reserving & pricing

Bayesian and sampling-based foundations for granular reserving, IBNR estimation, and coherent pricing.

Telematics risk

Signal-based detection of risky driving, temporal patterns, collision prediction, and interpretable behavioural indices.

Current & recent doctoral researchers

  • Jongtaek LeeInsurance telematics and functional data
  • Pak Hop ChanCyber-risk quantification and insurance applications
  • Pat ChimtanooDoctoral research
  • Yuxuan GuoDoctoral research

Selected graduates & former researchers

  • Sophia Ian Wen ChanAssistant Professor, Nanyang University
  • Hassan AbdelrahmanPostdoctoral Fellow, Department of Statistical Sciences, University of Toronto; incoming Assistant Professor, The American University in Cairo
  • Sebastian Calcetero VanegasSenior Researcher, CIBC
  • Tsz Chai FungAssistant Professor, Georgia State University
  • Spark TseungLead Data Scientist, Reinsurance Group of America
MScAC industry supervision Applied research projects in partnership with Geotab, including collision severity modelling and automated load-weight detection for heavy-duty vehicles.

Current programs

Funded research with practical reach.

Current and recently completed projects connect statistical methodology with insurer and mobility applications, including telematics risk assessment, motif extraction, collision analysis, reserving, and ratemaking.

NSERC · 2026–2032

Integrating Statistical Modeling and Telematics Analytics for Advanced Insurance Risk Assessment

Individual Discovery Grant · Principal investigator

CAS · 2026–2027

Motif Extraction for Driving Behaviour Analysis and Insurance Ratemaking

Individual Research Grant · With Sophia Chan

CIA · 2026–2027

A Frequency–Severity Trip-Level Risk Index for Classification of Telematics Data

Academic Research Grant · With Jongtaek Lee

CIA · 2025–2026

Enhanced IBNR Reserve Estimation in P&C Insurance Through Bayesian Chain-Ladder Models

Academic Research Grant · With Hassan Abdelrahman

Knowledge translation Invited actuarial and industry presentations Intellectual property Pending Canadian patent for telematics anomaly detection

Teaching

From foundations to contemporary insurance models.

My teaching spans undergraduate actuarial foundations and graduate work in risk modelling, credibility, simulation, and insurance analytics.

Graduate

Insurance Risk Models · Credibility and Simulation

Undergraduate

Mathematics of Finance · Mathematics of Investment and Credit · Life Contingencies · Loss Models · Advanced Topics in Actuarial Science

Supervision

Doctoral research and applied MScAC projects in reserving, ratemaking, telematics, stochastic modelling, and insurance data science, including industry-partnered projects with Geotab.

Contact

Research, supervision, and collaboration.

For academic enquiries, prospective research collaborations, or information about actuarial science at the University of Toronto, contact me at andrei.badescu@utoronto.ca.

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