4 papers
Inference Functionals and Observation Operators for Distributional Statistical Models
R. Labouriau
This paper generalises inference functions (Godambe, 1960) to distributional statistical models, in which each probability measure is represented by a distribution--kernel pair $(T…
Notes on Transversality and Statistical Degeneracies in Distributional Models
R. Labouriau
These notes provide a pedagogical introduction to the role of transversality theory in the analysis of statistical degeneracies within the framework of distributional statistical m…
Weak Moment Methods for Statistical Inference: with an Application to Robust Estimation
R. Labouriau
A companion paper develops a generalised framework in which a probability law is represented by a tempered distribution - on the same footing as a density or cha…
Distributional Statistical Models: Weak Moments, Cumulants, and a Central Limit Theorem
R. Labouriau
Many important statistical models fall outside classical moment-based methods due to the non-existence of moments or moment generating functions. We propose a generalised probabili…