QCD-Factorization of inclusive B decays and |Vub|

Recent progress in the theoretical description of inclusive B→Xul−ν¯ decays in the shape-function region is reported. Finite moments of the shape function are related to HQET parameters. Event fractions for several experimental cuts are presented, with a particular emphasis on the hadronic variable P+=EH−|P→H|. The aim of this talk is to introduce the P+ spectrum, to compare it to the hadronic invariant mass spectrum and the charged-lepton energy spectrum, and to study the prospect of evaluating |Vub| in the presence of a large background from B→Xc decays.