A note on the computation of Waring formula

Areski Cousin (1) , Diana Dorobantu (1) , Didier Rullière (1)

1 SAF - Laboratoire de Sciences Actuarielle et Financière

We present in this paper the Waring formula, which is used in several fields, like life-insurance or credit risk. We show that some problems can occur when using this formula, and propose alternative recursions in order to improve the complexity of the calculations, and to cope with the numerical instability of the formula.

Domaines: Economies et finances; Combinatoire [math.CO]; Probabilités [math.PR]

Areski Cousin, Diana Dorobantu, Didier Rullière. A note on the computation of Waring formula. 2011. ⟨hal-00557751v1⟩