Optimal decision rules for marked point process models

Research output: Working paper

49 Downloads (Pure)

Abstract

We study a Markov decision problem in which the state space is the set of finite marked point configurations in the plane, the actions represent thinnings, the reward is proportional to the mark sum which is discounted over time, and the transitions are governed by a birth-death-growth process. We show that thinning points with large marks is optimal when births follow a Poisson process and marks grow logistically. Explicit values for the thinning threshold and the discounted total expected reward over finite and infinite horizons are also provided. When the points are required to respect a hard core distance, upper and lower bounds on the discounted total expected reward are derived.
Original languageEnglish
PublisherArXiv.org
Pages1-14
Number of pages14
DOIs
Publication statusPublished - 7 Sept 2023

Fingerprint

Dive into the research topics of 'Optimal decision rules for marked point process models'. Together they form a unique fingerprint.

Cite this