This talk is motivated by a practical problem of signal detection in particle physics. It is organized in three parts. It will begin with a review of nonregular problems in classical likelihood-based inference. The second part focuses on a particular type of nonregularity: boundary problems. In this context, we will distinguish between soft and hard boundaries. In the final part, we will come back to the motivating example for which recent work is presented.
The talk will include results from joint work with Anthony C. Davison, Soumaya Elkantassi, Max J. Lo Conte and Valentina Mameli.
References:
1) https://projecteuclid.org/journals/statistical-science/volume-39/issue-2/Likelihood-Asymptotics-in-Nonregular-Settings--A-Review-with-Emphasis/10.1214/23-STS910.short
2) https://onlinelibrary.wiley.com/doi/full/10.1002/cjs.11791