Séminaire des doctorants Orléans

Testing iidness in a directional framework with mixture of rotationnally symetric distribution as alternatives.
Maxime Boucher (ICHEC Brussels Management School)
Thursday 25 June 2026 10:30 -  Institut Denis Poisson, Orléans -  Salle de Seminaires

Résumé :

In this presentation, we will talk about direction data : statistics on the hyper-sphere. We will ask the following question : does a sample on S^{p-1} is iid ? To study this, we will focus on the runs statistics. We will construct the iidness test and we will show that we can construct the asymptotically and locally most powerful test for precised alternatives. This work is an opportunity to study the position of solar sunspots during differents cycles. It allowed us to describe the serial dependence in the longitude of the sunspots which complete the previous work of Spörer describing dependence in the longitude.

Liens :

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