8 papers
Answer to an open question concerning the -strategy for best choice under no information
F. Thomas Bruss, L. C. G. Rogers
This paper answers a long-standing open question concerning the -strategy for the problem of best choice. candidates for a job arrive at times independently uniformly dist…
The BRS-inequality and its Applications A Survey
F. Thomas Bruss
This article is a survey of results concerning an inequality, which may be seen as a versatile tool to solve problems in the domain of Applied Probability. The inequality, which we…
On the -strategy for the best-choice problem under no information
F. Thomas Bruss
The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific j…
Numerical Aspects of Computing Possible Equilibria for Resource Dependent Branching Processes with Immigration
F. Thomas Bruss
This article studies the stability of solutions of equilibrium equations arising in so-called resource dependent branching processes. We argue that these new models, building on th…
Odds-Theorem and Monotonicity
F. Thomas Bruss
Given a finite sequence of events and a well-defined notion of events being interesting, the Odds-theorem (Bruss (2000)) gives an online strategy to stop on the last interesting ev…
Equilibrium Equations for Human Populations with Immigration
F. Thomas Bruss
The objective of this article is to create a framework to study asymptotic equilibria in human populations with a special focus on immigration. We present a new model, based on Res…