A full-information continuous-time best choice problem is considered. A stream of objects being iid random variables with a known continuous distribution function is observed. The objects appear according to some renewal process independent of objects. The objective is to maximize the...

A class of distributions of N is characterized for a full-information best choice problem with a random number of objects N for which the so-called monotone case occurs. This class is shown to be a subclass of IFR distributions.

The full-information best choice problem with a random number of observations is considered. N i.i.d. random variables with a known continuous distribution are observed sequentially with the object of selecting the largest. Neither recall nor uncertainty of selection is allowed and one choice...