Peter Kirwan

About

I’m a Research Associate at the MRC Biostatistics Unit in Cambridge. My PhD focussed on applications of multi-state models to estimate infectious disease burden, specifically HIV and COVID-19. My current research involves the development of multi-state "back-calculation" models to estimate HIV incidence and undiagnosed HIV prevalence.

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Peter Kirwan

Statistical methods for survival data

This series of blog posts provides an introduction to statistical methods for survival data, with applications for infectious disease modelling and epidemiology. Topics include: classical survival methods, competing risks analysis, and causal inference from observational data.

Part II: Survival analysis

An introduction to survival analysis, time-to-event data, and how we handle censored observations in epidemiological research.

Censoring Truncation Hazard function Survival function
Survival analysis

Part III: Classical survival methods

Exploring two fundamental approaches to analysing survival data: non-parametric Kaplan-Meier estimation and semi-parametric Cox proportional hazards models.

Likelihood Survival models Kaplan-Meier Cox models
Kaplan-Meier

Part IV: Competing Risks in Survival Analysis

How to handle scenarios where multiple possible events can occur, and the challenges this presents for traditional survival methods.

Competing risks Aalen-Johansen Fine-Grey Stratification
Competing risks

Part V: Multi-State Models

Some theory of multi-state models and their applications in epidemiology, including estimating transition intensities and the time spent in a state.

Multi-state models Transition intensity Markov models Semi-Markov models
Multi-state model

Part VI: Statistical inference for multi-state models

Explanation of two statistical inference methods (non-parametric and parametric multi-state survival models) and how these multi-state methods are well-suited to the investigation of intermittently-observed data.

Multi-state models Statistical inference Intermittently-observed data
Intermittently-observed data

Recent publications

Full list of publications (via Google Scholar).

Recorded talks

2024

๐ŸŽฅ Multi-state modelling to estimate infectious disease burden. University of Cambridge, UK.

Contact

Feel free to reach out about research collaborations, speaking opportunities, or general enquiries: