An Optimal Selection Problem Associated with the Poisson Process

1979 ◽  
Vol 23 (3) ◽  
pp. 584-592 ◽  
Author(s):  
R. Cowan ◽  
J. Zabczyk
Keyword(s):  
Poisson Process ◽  
Selection Problem ◽  
Optimal Selection

On an optimal selection problem of Cowan and Zabczyk

1987 ◽  
Vol 24 (4) ◽  
pp. 918-928 ◽  
Author(s):  
F. Thomas Bruss
Keyword(s):  
Poisson Process ◽  
Continuous Time ◽  
Intensity Function ◽  
Poisson Processes ◽  
Secretary Problem ◽  
Selection Problem ◽  
Recall Condition ◽  
Optimal Selection ◽  
Multiplicative Constant ◽  
Inhomogeneous Poisson Process

Cowan and Zabczyk (1978) have studied a continuous-time generalization of the so-called secretary problem, where options arise according to a homogeneous Poisson processes of known intensity λ. They gave the complete strategy maximizing the probability of accepting the best option under the usual no-recall condition. In this paper, the solution is extended to the case where the intensity λ is unknown, and also to the case of an inhomogeneous Poisson process with intensity function λ (t), which is either supposed to be known or known up to a multiplicative constant.

On an optimal selection problem of Cowan and Zabczyk

1987 ◽  
Vol 24 (04) ◽  
pp. 918-928 ◽  
Author(s):  
F. Thomas Bruss
Keyword(s):  
Poisson Process ◽  
Continuous Time ◽  
Intensity Function ◽  
Poisson Processes ◽  
Secretary Problem ◽  
Selection Problem ◽  
Recall Condition ◽  
Optimal Selection ◽  
Multiplicative Constant ◽  
Inhomogeneous Poisson Process

Cowan and Zabczyk (1978) have studied a continuous-time generalization of the so-called secretary problem, where options arise according to a homogeneous Poisson processes of known intensity λ. They gave the complete strategy maximizing the probability of accepting the best option under the usual no-recall condition. In this paper, the solution is extended to the case where the intensity λ is unknown, and also to the case of an inhomogeneous Poisson process with intensity function λ (t), which is either supposed to be known or known up to a multiplicative constant.

Lectures on the Poisson Process

2017 ◽  
Author(s):  
Günter Last ◽  
Mathew Penrose
Keyword(s):  
Poisson Process
Sign in / Sign up

Export Citation Format

Share Document