Resumen de Semi-recorrido condicionado (expresión asintótica de la r-esperanza condicionada)

Juan Antonio Cuesta Albertos , Carlos Matrán Bea

• In a probability space (O,s,P), for a Ì s a sub-s field, in general the best approximation in L8 by elements of L8(a) has not a unique solution. For the election between these, we prove the convergence P-almost surely of the conditional r-means, when r ? 8, to one solution, which we call conditional mid-range. This is characterized for each ? Î O by the mid-range, of one regular conditional distribution Q(?, ·)