Only the first term of some series counts

Aurel Spătaru

Let . be i.i.d. random variables, and set . We prove that for three important distributions of , namely normal, exponential and geometric, series of the type or behave like their first term as .

Mots clés: Tail probabilities of sums of i.i.d. random variables; Normal distribution; Exponential distribution; Geometric distribution

Domaines: Bio-informatique [q-bio.QM]; Bio-Informatique, Biologie Systémique [q-bio.QM]

Aurel Spătaru. Only the first term of some series counts. Statistics and Probability Letters, 2011, 81 (10), pp.1547. ⟨10.1016/j.spl.2011.05.012⟩. ⟨hal-00770345⟩