Search for a moving target under minimax estimation
- 1 March 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 18 (01) , 167-180
- https://doi.org/10.1017/s0021900200097710
Abstract
A target is assumed to choose its starting position in a search at an unknown position in a finite search space. No prior probability distribution for the target's initial location is assumed. During the search the target is assumed to move from position to position in the search space according to a Markov process. A search is defined to be the observation of a sequence of random variables. Representations for the minimax estimator for target location at any stage of the search, the least favorable prior distribution for the target, and the value of the estimation game are presented. An example is computed in which Bayes estimators are compared with minimax estimators for target location.Keywords
This publication has 6 references indexed in Scilit:
- Necessary and Sufficient Conditions for Optimal Search Plans for Moving TargetsMathematics of Operations Research, 1979
- Search for Targets with Generalized Conditionally Deterministic MotionSIAM Journal on Applied Mathematics, 1977
- On the Optimal Searching Tracks for a Moving TargetSIAM Journal on Applied Mathematics, 1977
- On the optimal search for a target whose motion is a Markov processJournal of Applied Probability, 1973
- A general search gameIsrael Journal of Mathematics, 1972
- On the Effect of a Search Upon the Probability Distribution of a Target Whose Motion is a Diffusion ProcessThe Annals of Mathematical Statistics, 1970