Author

R. Labouriau

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Preprint Jul 2026

Markov Properties of $k$-Record Processes via Order Statistics

The theory of $k$-record values (Type 2 $k$-records) plays an important role in the study of partial extremes and in statistical inference based on record data. A common approach reduces the analysis of $k$-records associated with a distribution function $F$ to that of ordinary records from the transformed distribution...

R. Labouriau · 0 citations

Preprint Jul 2026

Weak Information Geometry: Riemannian Structures from Distributional Inference Functions and Stein Discrepancies

The class of parametric statistical models that can be treated as Riemannian manifolds is considerably larger than the classical Fisher-Rao setting allows, once one works in the space of tempered distributions. A law is represented by a tempered distribution T in S'(R^k), while an instrument - a positive Schwartz kerne...

R. Labouriau · 1 citation