![]() "Maximizing the probability of stopping on any of the last m successes in independent Bernoulli trials with random horizon." Adv. It is shown that, whatever the distribution of M, we can win with probability greater than or equal to u m *, where u m * is, as given in (1.4), the asymptotic win probability of the usual secretary problem when N degenerates to n and n → ∞. In Section 4 we consider a continuous arrival time version of the secretary problem with a random number M of applicants. We also examine, as a nonhomogeneous Poisson process model, an intermediate prior that allows N to be uniform or degenerate. When N is uniform or curtailed geometric, the optimal rules are shown to be threshold rules and their asymptotic results are obtained. ![]() An F plasmid is inserted into the trp operon, disrupting the operon and leading to tryptophan auxotrophy of both ancestral strains. Both R + and R strains are derived from BW25113. Application will be made to the usual (discrete arrival time) secretary problem with a random number N of applicants in Section 3. Ancestral strain genotypes and experimental design. ![]() ![]() It is known that, when N is degenerate, i.e. We consider the problem of maximizing the probability of stopping on any of the last m successes in independent Bernoulli trials with random horizon of length N, where m is a predetermined integer. ![]()
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