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The many-to-few lemma and multiple spines

The many-to-few lemma and multiple spines

We develop a simple and intuitive identity for calculating expectations of weighted k-fold sums over particles in branching processes, generalising the well-known many-to-one lemma.Résumé.On développe une identité simple et intuitive pour calculer l'espérance des sommations k-plier sur particules dans les processus de branchement, la généralisation du lemme bien connu 'many-to-one'.